TSTP Solution File: COM022+4 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : COM022+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n015.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 : Fri Jul 15 01:28:57 EDT 2022
% Result : Theorem 5.94s 6.15s
% Output : CNFRefutation 28.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 216
% Syntax : Number of formulae : 5020 ( 532 unt; 203 typ; 0 def)
% Number of atoms : 116521 (34920 equ; 0 cnn)
% Maximal formula atoms : 96 ( 24 avg)
% Number of connectives : 365166 (87396 ~;65617 |;1787 &;210300 @)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 255 ( 255 >; 0 *; 0 +; 0 <<)
% Number of symbols : 206 ( 203 usr; 116 con; 0-3 aty)
% Number of variables : 9964 ( 0 ^9865 !; 99 ?;9964 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aElement0,type,
aElement0: $i > $o ).
thf(tp_aNormalFormOfIn0,type,
aNormalFormOfIn0: $i > $i > $i > $o ).
thf(tp_aReductOfIn0,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(tp_aRewritingSystem0,type,
aRewritingSystem0: $i > $o ).
thf(tp_iLess0,type,
iLess0: $i > $i > $o ).
thf(tp_isConfluent0,type,
isConfluent0: $i > $o ).
thf(tp_isLocallyConfluent0,type,
isLocallyConfluent0: $i > $o ).
thf(tp_isTerminating0,type,
isTerminating0: $i > $o ).
thf(tp_sK100_REN,type,
sK100_REN: $o ).
thf(tp_sK101_REN,type,
sK101_REN: $o ).
thf(tp_sK102_REN,type,
sK102_REN: $o ).
thf(tp_sK103_REN,type,
sK103_REN: $o ).
thf(tp_sK104_REN,type,
sK104_REN: $o ).
thf(tp_sK105_REN,type,
sK105_REN: $o ).
thf(tp_sK106_REN,type,
sK106_REN: $o ).
thf(tp_sK107_REN,type,
sK107_REN: $o ).
thf(tp_sK108_REN,type,
sK108_REN: $o ).
thf(tp_sK109_W0,type,
sK109_W0: $i ).
thf(tp_sK10_SY68,type,
sK10_SY68: $i ).
thf(tp_sK110_W0,type,
sK110_W0: $i ).
thf(tp_sK111_W2,type,
sK111_W2: $i > $i > $i ).
thf(tp_sK112_W3,type,
sK112_W3: $i > $i > $i > $i ).
thf(tp_sK113_SY337,type,
sK113_SY337: $i > $i > $i > $i ).
thf(tp_sK114_SY336,type,
sK114_SY336: $i > $i > $i > $i ).
thf(tp_sK115_W3,type,
sK115_W3: $i > $i > $i > $i ).
thf(tp_sK116_SY339,type,
sK116_SY339: $i > $i > $i > $i ).
thf(tp_sK117_SY338,type,
sK117_SY338: $i > $i > $i > $i ).
thf(tp_sK118_W3,type,
sK118_W3: $i > $i > $i > $i ).
thf(tp_sK119_SY341,type,
sK119_SY341: $i > $i > $i > $i ).
thf(tp_sK11_SY57,type,
sK11_SY57: $i ).
thf(tp_sK120_SY340,type,
sK120_SY340: $i > $i > $i > $i ).
thf(tp_sK121_W3,type,
sK121_W3: $i > $i > $i > $i ).
thf(tp_sK122_SY343,type,
sK122_SY343: $i > $i > $i > $i ).
thf(tp_sK123_SY342,type,
sK123_SY342: $i > $i > $i > $i ).
thf(tp_sK124_W3,type,
sK124_W3: $i > $i > $i > $i ).
thf(tp_sK125_SY345,type,
sK125_SY345: $i > $i > $i > $i ).
thf(tp_sK126_SY344,type,
sK126_SY344: $i > $i > $i > $i ).
thf(tp_sK127_W3,type,
sK127_W3: $i > $i > $i > $i ).
thf(tp_sK128_SY347,type,
sK128_SY347: $i > $i > $i > $i ).
thf(tp_sK129_SY346,type,
sK129_SY346: $i > $i > $i > $i ).
thf(tp_sK12_W0,type,
sK12_W0: $i ).
thf(tp_sK130_W3,type,
sK130_W3: $i > $i > $i > $i ).
thf(tp_sK131_SY349,type,
sK131_SY349: $i > $i > $i > $i ).
thf(tp_sK132_SY348,type,
sK132_SY348: $i > $i > $i > $i ).
thf(tp_sK133_W3,type,
sK133_W3: $i > $i > $i > $i ).
thf(tp_sK134_SY351,type,
sK134_SY351: $i > $i > $i > $i ).
thf(tp_sK135_SY350,type,
sK135_SY350: $i > $i > $i > $i ).
thf(tp_sK136_W3,type,
sK136_W3: $i > $i > $i > $i ).
thf(tp_sK137_SY353,type,
sK137_SY353: $i > $i > $i > $i ).
thf(tp_sK138_SY352,type,
sK138_SY352: $i > $i > $i > $i ).
thf(tp_sK139_W3,type,
sK139_W3: $i > $i > $i > $i ).
thf(tp_sK13_SY89,type,
sK13_SY89: $i ).
thf(tp_sK140_SY355,type,
sK140_SY355: $i > $i > $i > $i ).
thf(tp_sK141_SY354,type,
sK141_SY354: $i > $i > $i > $i ).
thf(tp_sK142_W3,type,
sK142_W3: $i > $i > $i > $i ).
thf(tp_sK143_SY357,type,
sK143_SY357: $i > $i > $i > $i ).
thf(tp_sK144_SY356,type,
sK144_SY356: $i > $i > $i > $i ).
thf(tp_sK145_W3,type,
sK145_W3: $i > $i > $i > $i ).
thf(tp_sK146_SY359,type,
sK146_SY359: $i > $i > $i > $i ).
thf(tp_sK147_SY358,type,
sK147_SY358: $i > $i > $i > $i ).
thf(tp_sK148_W3,type,
sK148_W3: $i > $i > $i > $i ).
thf(tp_sK149_SY361,type,
sK149_SY361: $i > $i > $i > $i ).
thf(tp_sK14_SY100,type,
sK14_SY100: $i ).
thf(tp_sK150_SY360,type,
sK150_SY360: $i > $i > $i > $i ).
thf(tp_sK151_W3,type,
sK151_W3: $i > $i > $i > $i ).
thf(tp_sK152_SY363,type,
sK152_SY363: $i > $i > $i > $i ).
thf(tp_sK153_SY362,type,
sK153_SY362: $i > $i > $i > $i ).
thf(tp_sK154_W3,type,
sK154_W3: $i > $i > $i > $i ).
thf(tp_sK155_SY365,type,
sK155_SY365: $i > $i > $i > $i ).
thf(tp_sK156_SY364,type,
sK156_SY364: $i > $i > $i > $i ).
thf(tp_sK157_W3,type,
sK157_W3: $i > $i > $i > $i ).
thf(tp_sK158_SY367,type,
sK158_SY367: $i > $i > $i > $i ).
thf(tp_sK159_SY366,type,
sK159_SY366: $i > $i > $i > $i ).
thf(tp_sK15_SY110,type,
sK15_SY110: $i ).
thf(tp_sK160_W3,type,
sK160_W3: $i > $i > $i > $i ).
thf(tp_sK161_SY369,type,
sK161_SY369: $i > $i > $i > $i ).
thf(tp_sK162_SY368,type,
sK162_SY368: $i > $i > $i > $i ).
thf(tp_sK163_W3,type,
sK163_W3: $i > $i > $i > $i ).
thf(tp_sK164_SY371,type,
sK164_SY371: $i > $i > $i > $i ).
thf(tp_sK165_SY370,type,
sK165_SY370: $i > $i > $i > $i ).
thf(tp_sK166_W3,type,
sK166_W3: $i > $i > $i > $i ).
thf(tp_sK167_SY373,type,
sK167_SY373: $i > $i > $i > $i ).
thf(tp_sK168_SY372,type,
sK168_SY372: $i > $i > $i > $i ).
thf(tp_sK169_W3,type,
sK169_W3: $i > $i > $i > $i ).
thf(tp_sK16_SY118,type,
sK16_SY118: $i ).
thf(tp_sK170_SY375,type,
sK170_SY375: $i > $i > $i > $i ).
thf(tp_sK171_SY374,type,
sK171_SY374: $i > $i > $i > $i ).
thf(tp_sK172_W3,type,
sK172_W3: $i > $i > $i > $i ).
thf(tp_sK173_SY377,type,
sK173_SY377: $i > $i > $i > $i ).
thf(tp_sK174_SY376,type,
sK174_SY376: $i > $i > $i > $i ).
thf(tp_sK175_W3,type,
sK175_W3: $i > $i > $i > $i ).
thf(tp_sK176_SY379,type,
sK176_SY379: $i > $i > $i > $i ).
thf(tp_sK177_SY378,type,
sK177_SY378: $i > $i > $i > $i ).
thf(tp_sK178_W3,type,
sK178_W3: $i > $i > $i > $i ).
thf(tp_sK179_SY381,type,
sK179_SY381: $i > $i > $i > $i ).
thf(tp_sK17_SY117,type,
sK17_SY117: $i ).
thf(tp_sK180_SY380,type,
sK180_SY380: $i > $i > $i > $i ).
thf(tp_sK181_W3,type,
sK181_W3: $i > $i > $i > $i ).
thf(tp_sK182_SY383,type,
sK182_SY383: $i > $i > $i > $i ).
thf(tp_sK183_SY382,type,
sK183_SY382: $i > $i > $i > $i ).
thf(tp_sK184_W3,type,
sK184_W3: $i > $i > $i > $i ).
thf(tp_sK185_SY385,type,
sK185_SY385: $i > $i > $i > $i ).
thf(tp_sK186_SY384,type,
sK186_SY384: $i > $i > $i > $i ).
thf(tp_sK187_W3,type,
sK187_W3: $i > $i > $i > $i ).
thf(tp_sK188_SY387,type,
sK188_SY387: $i > $i > $i > $i ).
thf(tp_sK189_SY386,type,
sK189_SY386: $i > $i > $i > $i ).
thf(tp_sK18_SY115,type,
sK18_SY115: $i ).
thf(tp_sK19_SY109,type,
sK19_SY109: $i ).
thf(tp_sK1_W0,type,
sK1_W0: $i ).
thf(tp_sK20_SY108,type,
sK20_SY108: $i ).
thf(tp_sK21_SY99,type,
sK21_SY99: $i ).
thf(tp_sK22_SY88,type,
sK22_SY88: $i ).
thf(tp_sK23_W0,type,
sK23_W0: $i ).
thf(tp_sK24_SY120,type,
sK24_SY120: $i ).
thf(tp_sK25_SY131,type,
sK25_SY131: $i ).
thf(tp_sK26_SY141,type,
sK26_SY141: $i ).
thf(tp_sK27_SY149,type,
sK27_SY149: $i ).
thf(tp_sK28_SY148,type,
sK28_SY148: $i ).
thf(tp_sK29_SY146,type,
sK29_SY146: $i ).
thf(tp_sK2_SY58,type,
sK2_SY58: $i ).
thf(tp_sK30_SY140,type,
sK30_SY140: $i ).
thf(tp_sK31_SY139,type,
sK31_SY139: $i ).
thf(tp_sK32_SY130,type,
sK32_SY130: $i ).
thf(tp_sK33_SY119,type,
sK33_SY119: $i ).
thf(tp_sK34_W0,type,
sK34_W0: $i ).
thf(tp_sK35_SY151,type,
sK35_SY151: $i ).
thf(tp_sK36_SY162,type,
sK36_SY162: $i ).
thf(tp_sK37_SY172,type,
sK37_SY172: $i ).
thf(tp_sK38_SY180,type,
sK38_SY180: $i ).
thf(tp_sK39_SY179,type,
sK39_SY179: $i ).
thf(tp_sK3_SY69,type,
sK3_SY69: $i ).
thf(tp_sK40_SY177,type,
sK40_SY177: $i ).
thf(tp_sK41_SY171,type,
sK41_SY171: $i ).
thf(tp_sK42_SY170,type,
sK42_SY170: $i ).
thf(tp_sK43_SY161,type,
sK43_SY161: $i ).
thf(tp_sK44_SY150,type,
sK44_SY150: $i ).
thf(tp_sK45_W0,type,
sK45_W0: $i ).
thf(tp_sK46_SY182,type,
sK46_SY182: $i ).
thf(tp_sK47_SY193,type,
sK47_SY193: $i ).
thf(tp_sK48_SY203,type,
sK48_SY203: $i ).
thf(tp_sK49_SY211,type,
sK49_SY211: $i ).
thf(tp_sK4_SY79,type,
sK4_SY79: $i ).
thf(tp_sK50_SY210,type,
sK50_SY210: $i ).
thf(tp_sK51_SY208,type,
sK51_SY208: $i ).
thf(tp_sK52_SY202,type,
sK52_SY202: $i ).
thf(tp_sK53_SY201,type,
sK53_SY201: $i ).
thf(tp_sK54_SY192,type,
sK54_SY192: $i ).
thf(tp_sK55_SY181,type,
sK55_SY181: $i ).
thf(tp_sK56_W0,type,
sK56_W0: $i ).
thf(tp_sK57_SY213,type,
sK57_SY213: $i ).
thf(tp_sK58_SY224,type,
sK58_SY224: $i ).
thf(tp_sK59_SY234,type,
sK59_SY234: $i ).
thf(tp_sK5_SY87,type,
sK5_SY87: $i ).
thf(tp_sK60_SY242,type,
sK60_SY242: $i ).
thf(tp_sK61_SY241,type,
sK61_SY241: $i ).
thf(tp_sK62_SY239,type,
sK62_SY239: $i ).
thf(tp_sK63_SY233,type,
sK63_SY233: $i ).
thf(tp_sK64_SY232,type,
sK64_SY232: $i ).
thf(tp_sK65_SY223,type,
sK65_SY223: $i ).
thf(tp_sK66_SY212,type,
sK66_SY212: $i ).
thf(tp_sK67_W0,type,
sK67_W0: $i ).
thf(tp_sK68_SY244,type,
sK68_SY244: $i ).
thf(tp_sK69_SY255,type,
sK69_SY255: $i ).
thf(tp_sK6_SY86,type,
sK6_SY86: $i ).
thf(tp_sK70_SY265,type,
sK70_SY265: $i ).
thf(tp_sK71_SY273,type,
sK71_SY273: $i ).
thf(tp_sK72_SY272,type,
sK72_SY272: $i ).
thf(tp_sK73_SY270,type,
sK73_SY270: $i ).
thf(tp_sK74_SY264,type,
sK74_SY264: $i ).
thf(tp_sK75_SY263,type,
sK75_SY263: $i ).
thf(tp_sK76_SY254,type,
sK76_SY254: $i ).
thf(tp_sK77_SY243,type,
sK77_SY243: $i ).
thf(tp_sK78_W0,type,
sK78_W0: $i ).
thf(tp_sK79_SY275,type,
sK79_SY275: $i ).
thf(tp_sK7_SY84,type,
sK7_SY84: $i ).
thf(tp_sK80_SY286,type,
sK80_SY286: $i ).
thf(tp_sK81_SY296,type,
sK81_SY296: $i ).
thf(tp_sK82_SY304,type,
sK82_SY304: $i ).
thf(tp_sK83_SY303,type,
sK83_SY303: $i ).
thf(tp_sK84_SY301,type,
sK84_SY301: $i ).
thf(tp_sK85_SY295,type,
sK85_SY295: $i ).
thf(tp_sK86_SY294,type,
sK86_SY294: $i ).
thf(tp_sK87_SY285,type,
sK87_SY285: $i ).
thf(tp_sK88_SY274,type,
sK88_SY274: $i ).
thf(tp_sK89_W0,type,
sK89_W0: $i ).
thf(tp_sK8_SY78,type,
sK8_SY78: $i ).
thf(tp_sK90_SY306,type,
sK90_SY306: $i ).
thf(tp_sK91_SY317,type,
sK91_SY317: $i ).
thf(tp_sK92_SY327,type,
sK92_SY327: $i ).
thf(tp_sK93_SY335,type,
sK93_SY335: $i ).
thf(tp_sK94_SY334,type,
sK94_SY334: $i ).
thf(tp_sK95_SY332,type,
sK95_SY332: $i ).
thf(tp_sK96_SY326,type,
sK96_SY326: $i ).
thf(tp_sK97_SY325,type,
sK97_SY325: $i ).
thf(tp_sK98_SY316,type,
sK98_SY316: $i ).
thf(tp_sK99_SY305,type,
sK99_SY305: $i ).
thf(tp_sK9_SY77,type,
sK9_SY77: $i ).
thf(tp_sdtmndtasgtdt0,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(tp_sdtmndtplgtdt0,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(tp_xR,type,
xR: $i ).
thf(tp_xa,type,
xa: $i ).
thf(tp_xb,type,
xb: $i ).
thf(tp_xc,type,
xc: $i ).
thf(1,axiom,
! [W0: $i] :
( ( ( aRewritingSystem0 @ W0 )
& ( isTerminating0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ? [W2: $i] : ( aNormalFormOfIn0 @ W2 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
thf(2,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
thf(3,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
thf(4,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCbr) ).
thf(5,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mWFOrd) ).
thf(6,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 ) )
=> ! [W2: $i] :
( ( aReductOfIn0 @ W2 @ W0 @ W1 )
=> ( aElement0 @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
thf(7,axiom,
! [W0: $i] :
( ( aRewritingSystem0 @ W0 )
=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mRelSort) ).
thf(8,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSort) ).
thf(9,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( ( W0 = W1 )
| ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) )
& ( ( W0 = W2 )
| ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) ) )
=> ( ( iLess0 @ W0 @ xa )
=> ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W1 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
thf(10,axiom,
( ( aElement0 @ xa )
& ( aElement0 @ xb )
& ( aElement0 @ xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
thf(11,axiom,
( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( aReductOfIn0 @ W2 @ W0 @ xR ) )
=> ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W1 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) )
& ( isLocallyConfluent0 @ xR )
& ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W2: $i] :
( ( aElement0 @ W2 )
& ( aReductOfIn0 @ W2 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W1 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
=> ( iLess0 @ W1 @ W0 ) ) )
& ( isTerminating0 @ xR ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
thf(12,axiom,
aRewritingSystem0 @ xR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
thf(13,conjecture,
( ( ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
& ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( ( W0 = xb )
| ( ( ( aReductOfIn0 @ xb @ W0 @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
& ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xa @ xR )
& ( ( W1 = xc )
| ( ( ( aReductOfIn0 @ xc @ W1 @ xR )
| ? [W2: $i] :
( ( aElement0 @ W2 )
& ( aReductOfIn0 @ W2 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W2 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
& ? [W2: $i] :
( ( aElement0 @ W2 )
& ( ( W0 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
& ( ( W1 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W1 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
& ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ~ ? [W4: $i] : ( aReductOfIn0 @ W4 @ W3 @ xR )
& ( aNormalFormOfIn0 @ W3 @ W2 @ xR )
& ( ( xb = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xb @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xb @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
& ( ( xc = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xc @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xc @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ W3 ) ) ) ) ) )
=> ( ( ( ( xa = xb )
| ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ xa @ xR @ xb )
& ( ( xa = xc )
| ( ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( xb = W0 )
| ( aReductOfIn0 @ W0 @ xb @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) )
& ( ( xc = W0 )
| ( aReductOfIn0 @ W0 @ xc @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(14,negated_conjecture,
( ( ( ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
& ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( ( W0 = xb )
| ( ( ( aReductOfIn0 @ xb @ W0 @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
& ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xa @ xR )
& ( ( W1 = xc )
| ( ( ( aReductOfIn0 @ xc @ W1 @ xR )
| ? [W2: $i] :
( ( aElement0 @ W2 )
& ( aReductOfIn0 @ W2 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W2 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
& ? [W2: $i] :
( ( aElement0 @ W2 )
& ( ( W0 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
& ( ( W1 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W1 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
& ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ~ ? [W4: $i] : ( aReductOfIn0 @ W4 @ W3 @ xR )
& ( aNormalFormOfIn0 @ W3 @ W2 @ xR )
& ( ( xb = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xb @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xb @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
& ( ( xc = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xc @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xc @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ W3 ) ) ) ) ) )
=> ( ( ( ( xa = xb )
| ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ xa @ xR @ xb )
& ( ( xa = xc )
| ( ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( xb = W0 )
| ( aReductOfIn0 @ W0 @ xb @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) )
& ( ( xc = W0 )
| ( aReductOfIn0 @ W0 @ xc @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[13]) ).
thf(15,plain,
( ( ( ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
& ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( ( W0 = xb )
| ( ( ( aReductOfIn0 @ xb @ W0 @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
& ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xa @ xR )
& ( ( W1 = xc )
| ( ( ( aReductOfIn0 @ xc @ W1 @ xR )
| ? [W2: $i] :
( ( aElement0 @ W2 )
& ( aReductOfIn0 @ W2 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W2 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
& ? [W2: $i] :
( ( aElement0 @ W2 )
& ( ( W0 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
& ( ( W1 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W1 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
& ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ~ ? [W4: $i] : ( aReductOfIn0 @ W4 @ W3 @ xR )
& ( aNormalFormOfIn0 @ W3 @ W2 @ xR )
& ( ( xb = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xb @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xb @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
& ( ( xc = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xc @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xc @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ W3 ) ) ) ) ) )
=> ( ( ( ( xa = xb )
| ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ xa @ xR @ xb )
& ( ( xa = xc )
| ( ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( xb = W0 )
| ( aReductOfIn0 @ W0 @ xb @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) )
& ( ( xc = W0 )
| ( aReductOfIn0 @ W0 @ xc @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [W0: $i] :
( ( ( aRewritingSystem0 @ W0 )
& ( isTerminating0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ? [W2: $i] : ( aNormalFormOfIn0 @ W2 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(17,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(18,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(20,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(21,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 ) )
=> ! [W2: $i] :
( ( aReductOfIn0 @ W2 @ W0 @ W1 )
=> ( aElement0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(22,plain,
( ( ! [W0: $i] :
( ( aRewritingSystem0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(23,plain,
( ( ! [W0: $i] :
( ( aElement0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(24,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( ( W0 = W1 )
| ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) )
& ( ( W0 = W2 )
| ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) ) )
=> ( ( iLess0 @ W0 @ xa )
=> ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W1 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(25,plain,
( ( ( aElement0 @ xa )
& ( aElement0 @ xb )
& ( aElement0 @ xc ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( aReductOfIn0 @ W2 @ W0 @ xR ) )
=> ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W1 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) )
& ( isLocallyConfluent0 @ xR )
& ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W2: $i] :
( ( aElement0 @ W2 )
& ( aReductOfIn0 @ W2 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W1 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
=> ( iLess0 @ W1 @ W0 ) ) )
& ( isTerminating0 @ xR ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( aRewritingSystem0 @ xR )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(28,plain,
( ( ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
& ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
=> ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( ( W0 = xb )
| ( ( ( aReductOfIn0 @ xb @ W0 @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
& ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xa @ xR )
& ( ( W1 = xc )
| ( ( ( aReductOfIn0 @ xc @ W1 @ xR )
| ? [W2: $i] :
( ( aElement0 @ W2 )
& ( aReductOfIn0 @ W2 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W2 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ xc ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
& ? [W2: $i] :
( ( aElement0 @ W2 )
& ( ( W0 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
& ( ( W1 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W1 @ xR )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
& ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ~ ? [W4: $i] : ( aReductOfIn0 @ W4 @ W3 @ xR )
& ( aNormalFormOfIn0 @ W3 @ W2 @ xR )
& ( ( xb = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xb @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xb @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
& ( ( xc = W3 )
| ( ( ( aReductOfIn0 @ W3 @ xc @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ xc @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ W3 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(29,plain,
( ( ( xa = xb )
| ( ( ( aReductOfIn0 @ xb @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(30,plain,
( ( sdtmndtasgtdt0 @ xa @ xR @ xb )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(31,plain,
( ( ( xa = xc )
| ( ( ( aReductOfIn0 @ xc @ xa @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) ) )
& ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(32,plain,
( ( sdtmndtasgtdt0 @ xa @ xR @ xc )
= $true ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(33,plain,
( ( ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( xb = W0 )
| ( aReductOfIn0 @ W0 @ xb @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) )
& ( ( xc = W0 )
| ( aReductOfIn0 @ W0 @ xc @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[15]) ).
thf(34,plain,
( ( ~ ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( xb = W0 )
| ( aReductOfIn0 @ W0 @ xb @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xb @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xb @ xR @ W0 ) )
& ( ( xc = W0 )
| ( aReductOfIn0 @ W0 @ xc @ xR )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( aReductOfIn0 @ W1 @ xc @ xR )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
| ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(35,plain,
( ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(36,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
& ( sK108_REN
=> ( ( aElement0 @ sK89_W0 )
& ( aReductOfIn0 @ sK89_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
& ( ( ( aElement0 @ sK99_SY305 )
& ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb )
& ( aElement0 @ sK90_SY306 )
& ( aReductOfIn0 @ sK90_SY306 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
& ( ( ( aElement0 @ sK98_SY316 )
& ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR )
& ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) )
& ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc )
& ( aElement0 @ sK91_SY317 )
& ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
& ( ( ( aElement0 @ sK97_SY325 )
& ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) )
& ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
& ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
& ( ( ( aElement0 @ sK96_SY326 )
& ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR )
& ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) )
& ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
& ( aElement0 @ sK92_SY327 )
& ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
& ( ( ( aElement0 @ sK95_SY332 )
& ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR )
& ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) )
& ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
& ! [SY333: $i] :
~ ( aReductOfIn0 @ SY333 @ sK92_SY327 @ xR )
& ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
& ( ( ( aElement0 @ sK94_SY334 )
& ( aReductOfIn0 @ sK94_SY334 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
& ( ( ( aElement0 @ sK93_SY335 )
& ( aReductOfIn0 @ sK93_SY335 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) )
& ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| sK107_REN )
& ( sK107_REN
=> ( ( aElement0 @ sK78_W0 )
& ( aReductOfIn0 @ sK78_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
& ( ( ( aElement0 @ sK88_SY274 )
& ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb )
& ( aElement0 @ sK79_SY275 )
& ( aReductOfIn0 @ sK79_SY275 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
& ( ( ( aElement0 @ sK87_SY285 )
& ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR )
& ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) )
& ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc )
& ( aElement0 @ sK80_SY286 )
& ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
& ( ( ( aElement0 @ sK86_SY294 )
& ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) )
& ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
& ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
& ( ( ( aElement0 @ sK85_SY295 )
& ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR )
& ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) )
& ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
& ( aElement0 @ sK81_SY296 )
& ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
& ( ( ( aElement0 @ sK84_SY301 )
& ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR )
& ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) )
& ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
& ! [SY302: $i] :
~ ( aReductOfIn0 @ SY302 @ sK81_SY296 @ xR )
& ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
& ( ( ( aElement0 @ sK83_SY303 )
& ( aReductOfIn0 @ sK83_SY303 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
& ( ( ( aElement0 @ sK82_SY304 )
& ( aReductOfIn0 @ sK82_SY304 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) )
& ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
& ( sK106_REN
=> ( ( aElement0 @ sK67_W0 )
& ( aReductOfIn0 @ sK67_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
& ( ( ( aElement0 @ sK77_SY243 )
& ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb )
& ( aElement0 @ sK68_SY244 )
& ( aReductOfIn0 @ sK68_SY244 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
& ( ( ( aElement0 @ sK76_SY254 )
& ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR )
& ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) )
& ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc )
& ( aElement0 @ sK69_SY255 )
& ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
& ( ( ( aElement0 @ sK75_SY263 )
& ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) )
& ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
& ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
& ( ( ( aElement0 @ sK74_SY264 )
& ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR )
& ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) )
& ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
& ( aElement0 @ sK70_SY265 )
& ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
& ( ( ( aElement0 @ sK73_SY270 )
& ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR )
& ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) )
& ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
& ! [SY271: $i] :
~ ( aReductOfIn0 @ SY271 @ sK70_SY265 @ xR )
& ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
& ( ( ( aElement0 @ sK72_SY272 )
& ( aReductOfIn0 @ sK72_SY272 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
& ( ( ( aElement0 @ sK71_SY273 )
& ( aReductOfIn0 @ sK71_SY273 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) )
& ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
& ( sK105_REN
=> ( ( aElement0 @ sK56_W0 )
& ( aReductOfIn0 @ sK56_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
& ( ( ( aElement0 @ sK66_SY212 )
& ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb )
& ( aElement0 @ sK57_SY213 )
& ( aReductOfIn0 @ sK57_SY213 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
& ( ( ( aElement0 @ sK65_SY223 )
& ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR )
& ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) )
& ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc )
& ( aElement0 @ sK58_SY224 )
& ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
& ( ( ( aElement0 @ sK64_SY232 )
& ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) )
& ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
& ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
& ( ( ( aElement0 @ sK63_SY233 )
& ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR )
& ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) )
& ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
& ( aElement0 @ sK59_SY234 )
& ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
& ( ( ( aElement0 @ sK62_SY239 )
& ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR )
& ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) )
& ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
& ! [SY240: $i] :
~ ( aReductOfIn0 @ SY240 @ sK59_SY234 @ xR )
& ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
& ( ( ( aElement0 @ sK61_SY241 )
& ( aReductOfIn0 @ sK61_SY241 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
& ( ( ( aElement0 @ sK60_SY242 )
& ( aReductOfIn0 @ sK60_SY242 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) )
& ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| sK104_REN )
& ( sK104_REN
=> ( ( aElement0 @ sK45_W0 )
& ( aReductOfIn0 @ sK45_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
& ( ( ( aElement0 @ sK55_SY181 )
& ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb )
& ( aElement0 @ sK46_SY182 )
& ( aReductOfIn0 @ sK46_SY182 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
& ( ( ( aElement0 @ sK54_SY192 )
& ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR )
& ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) )
& ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc )
& ( aElement0 @ sK47_SY193 )
& ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
& ( ( ( aElement0 @ sK53_SY201 )
& ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) )
& ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
& ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
& ( ( ( aElement0 @ sK52_SY202 )
& ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR )
& ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) )
& ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
& ( aElement0 @ sK48_SY203 )
& ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
& ( ( ( aElement0 @ sK51_SY208 )
& ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR )
& ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) )
& ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
& ! [SY209: $i] :
~ ( aReductOfIn0 @ SY209 @ sK48_SY203 @ xR )
& ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
& ( ( ( aElement0 @ sK50_SY210 )
& ( aReductOfIn0 @ sK50_SY210 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
& ( ( ( aElement0 @ sK49_SY211 )
& ( aReductOfIn0 @ sK49_SY211 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) )
& ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
& ( sK103_REN
=> ( ( aElement0 @ sK34_W0 )
& ( aReductOfIn0 @ sK34_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
& ( ( ( aElement0 @ sK44_SY150 )
& ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb )
& ( aElement0 @ sK35_SY151 )
& ( aReductOfIn0 @ sK35_SY151 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
& ( ( ( aElement0 @ sK43_SY161 )
& ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR )
& ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) )
& ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc )
& ( aElement0 @ sK36_SY162 )
& ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
& ( ( ( aElement0 @ sK42_SY170 )
& ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) )
& ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
& ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
& ( ( ( aElement0 @ sK41_SY171 )
& ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR )
& ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) )
& ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
& ( aElement0 @ sK37_SY172 )
& ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
& ( ( ( aElement0 @ sK40_SY177 )
& ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR )
& ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) )
& ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
& ! [SY178: $i] :
~ ( aReductOfIn0 @ SY178 @ sK37_SY172 @ xR )
& ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
& ( ( ( aElement0 @ sK39_SY179 )
& ( aReductOfIn0 @ sK39_SY179 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
& ( ( ( aElement0 @ sK38_SY180 )
& ( aReductOfIn0 @ sK38_SY180 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) )
& ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
& ( sK102_REN
=> ( ( aElement0 @ sK23_W0 )
& ( aReductOfIn0 @ sK23_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
& ( ( ( aElement0 @ sK33_SY119 )
& ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb )
& ( aElement0 @ sK24_SY120 )
& ( aReductOfIn0 @ sK24_SY120 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
& ( ( ( aElement0 @ sK32_SY130 )
& ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR )
& ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) )
& ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc )
& ( aElement0 @ sK25_SY131 )
& ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
& ( ( ( aElement0 @ sK31_SY139 )
& ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) )
& ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
& ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
& ( ( ( aElement0 @ sK30_SY140 )
& ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR )
& ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) )
& ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
& ( aElement0 @ sK26_SY141 )
& ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
& ( ( ( aElement0 @ sK29_SY146 )
& ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR )
& ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) )
& ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
& ! [SY147: $i] :
~ ( aReductOfIn0 @ SY147 @ sK26_SY141 @ xR )
& ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
& ( ( ( aElement0 @ sK28_SY148 )
& ( aReductOfIn0 @ sK28_SY148 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
& ( ( ( aElement0 @ sK27_SY149 )
& ( aReductOfIn0 @ sK27_SY149 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) )
& ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| sK101_REN )
& ( sK101_REN
=> ( ( aElement0 @ sK12_W0 )
& ( aReductOfIn0 @ sK12_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
& ( ( ( aElement0 @ sK22_SY88 )
& ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb )
& ( aElement0 @ sK13_SY89 )
& ( aReductOfIn0 @ sK13_SY89 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
& ( ( ( aElement0 @ sK21_SY99 )
& ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR )
& ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) )
& ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc )
& ( aElement0 @ sK14_SY100 )
& ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
& ( ( ( aElement0 @ sK20_SY108 )
& ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) )
& ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
& ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
& ( ( ( aElement0 @ sK19_SY109 )
& ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR )
& ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) )
& ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
& ( aElement0 @ sK15_SY110 )
& ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
& ( ( ( aElement0 @ sK18_SY115 )
& ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR )
& ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) )
& ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
& ! [SY116: $i] :
~ ( aReductOfIn0 @ SY116 @ sK15_SY110 @ xR )
& ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
& ( ( ( aElement0 @ sK17_SY117 )
& ( aReductOfIn0 @ sK17_SY117 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
& ( ( ( aElement0 @ sK16_SY118 )
& ( aReductOfIn0 @ sK16_SY118 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) )
& ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
& ( sK100_REN
=> ( ( aElement0 @ sK1_W0 )
& ( aReductOfIn0 @ sK1_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
& ( ( ( aElement0 @ sK11_SY57 )
& ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb )
& ( aElement0 @ sK2_SY58 )
& ( aReductOfIn0 @ sK2_SY58 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
& ( ( ( aElement0 @ sK10_SY68 )
& ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR )
& ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) )
& ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc )
& ( aElement0 @ sK3_SY69 )
& ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
& ( ( ( aElement0 @ sK9_SY77 )
& ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) )
& ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
& ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
& ( ( ( aElement0 @ sK8_SY78 )
& ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR )
& ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) )
& ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
& ( aElement0 @ sK4_SY79 )
& ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
& ( ( ( aElement0 @ sK7_SY84 )
& ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR )
& ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) )
& ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
& ! [SY85: $i] :
~ ( aReductOfIn0 @ SY85 @ sK4_SY79 @ xR )
& ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
& ( ( ( aElement0 @ sK6_SY86 )
& ( aReductOfIn0 @ sK6_SY86 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
& ( ( ( aElement0 @ sK5_SY87 )
& ( aReductOfIn0 @ sK5_SY87 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(37,plain,
( ( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ( xa = xb ) )
& ( ( ( aElement0 @ sK109_W0 )
& ( aReductOfIn0 @ sK109_W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR )
| ( xa = xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(38,plain,
( ( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| ( xa = xc ) )
& ( ( ( aElement0 @ sK110_W0 )
& ( aReductOfIn0 @ sK110_W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR )
| ( xa = xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(39,plain,
( ( ! [W0: $i] :
( ~ ( aRewritingSystem0 @ W0 )
| ~ ( isTerminating0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ W1 @ W0 ) @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(40,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aElement0 @ W3 )
| ~ ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 )
| ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(41,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aElement0 @ W3 )
| ~ ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 )
| ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(42,plain,
( ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 )
| $true ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(43,plain,
( ( ! [W0: $i] :
~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aElement0 @ W1 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(44,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
( ~ ( aReductOfIn0 @ W2 @ W0 @ W1 )
| ( aElement0 @ W2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(45,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(46,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(47,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK186_SY384 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK186_SY384 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK186_SY384 @ W2 @ W1 @ W0 ) @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK185_SY385 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK185_SY385 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK185_SY385 @ W2 @ W1 @ W0 ) @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK183_SY382 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK183_SY382 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK183_SY382 @ W2 @ W1 @ W0 ) @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK182_SY383 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK182_SY383 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK182_SY383 @ W2 @ W1 @ W0 ) @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK180_SY380 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK180_SY380 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK180_SY380 @ W2 @ W1 @ W0 ) @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK179_SY381 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK179_SY381 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK179_SY381 @ W2 @ W1 @ W0 ) @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK177_SY378 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK177_SY378 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK177_SY378 @ W2 @ W1 @ W0 ) @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK176_SY379 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK176_SY379 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK176_SY379 @ W2 @ W1 @ W0 ) @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK174_SY376 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK174_SY376 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK174_SY376 @ W2 @ W1 @ W0 ) @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK173_SY377 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK173_SY377 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK173_SY377 @ W2 @ W1 @ W0 ) @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK171_SY374 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK171_SY374 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK171_SY374 @ W2 @ W1 @ W0 ) @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK170_SY375 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK170_SY375 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK170_SY375 @ W2 @ W1 @ W0 ) @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK168_SY372 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK168_SY372 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK168_SY372 @ W2 @ W1 @ W0 ) @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK167_SY373 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK167_SY373 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK167_SY373 @ W2 @ W1 @ W0 ) @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK165_SY370 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK165_SY370 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK165_SY370 @ W2 @ W1 @ W0 ) @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK164_SY371 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK164_SY371 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK164_SY371 @ W2 @ W1 @ W0 ) @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK162_SY368 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK162_SY368 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK162_SY368 @ W2 @ W1 @ W0 ) @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK161_SY369 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK161_SY369 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK161_SY369 @ W2 @ W1 @ W0 ) @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK159_SY366 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK159_SY366 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK159_SY366 @ W2 @ W1 @ W0 ) @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK158_SY367 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK158_SY367 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK158_SY367 @ W2 @ W1 @ W0 ) @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK156_SY364 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK156_SY364 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK156_SY364 @ W2 @ W1 @ W0 ) @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK155_SY365 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK155_SY365 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK155_SY365 @ W2 @ W1 @ W0 ) @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK153_SY362 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK153_SY362 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK153_SY362 @ W2 @ W1 @ W0 ) @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK152_SY363 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK152_SY363 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK152_SY363 @ W2 @ W1 @ W0 ) @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK150_SY360 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK150_SY360 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK150_SY360 @ W2 @ W1 @ W0 ) @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK149_SY361 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK149_SY361 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK149_SY361 @ W2 @ W1 @ W0 ) @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK147_SY358 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK147_SY358 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK147_SY358 @ W2 @ W1 @ W0 ) @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK146_SY359 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK146_SY359 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK146_SY359 @ W2 @ W1 @ W0 ) @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK144_SY356 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK144_SY356 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK144_SY356 @ W2 @ W1 @ W0 ) @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK143_SY357 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK143_SY357 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK143_SY357 @ W2 @ W1 @ W0 ) @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK141_SY354 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK141_SY354 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK141_SY354 @ W2 @ W1 @ W0 ) @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK140_SY355 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK140_SY355 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK140_SY355 @ W2 @ W1 @ W0 ) @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK138_SY352 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK138_SY352 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK138_SY352 @ W2 @ W1 @ W0 ) @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK137_SY353 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK137_SY353 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK137_SY353 @ W2 @ W1 @ W0 ) @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK135_SY350 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK135_SY350 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK135_SY350 @ W2 @ W1 @ W0 ) @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK134_SY351 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK134_SY351 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK134_SY351 @ W2 @ W1 @ W0 ) @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK132_SY348 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK132_SY348 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK132_SY348 @ W2 @ W1 @ W0 ) @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK131_SY349 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK131_SY349 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK131_SY349 @ W2 @ W1 @ W0 ) @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK129_SY346 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK129_SY346 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK129_SY346 @ W2 @ W1 @ W0 ) @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK128_SY347 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK128_SY347 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK128_SY347 @ W2 @ W1 @ W0 ) @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK126_SY344 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK126_SY344 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK126_SY344 @ W2 @ W1 @ W0 ) @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK125_SY345 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK125_SY345 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK125_SY345 @ W2 @ W1 @ W0 ) @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK123_SY342 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK123_SY342 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK123_SY342 @ W2 @ W1 @ W0 ) @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK122_SY343 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK122_SY343 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK122_SY343 @ W2 @ W1 @ W0 ) @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK120_SY340 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK120_SY340 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK120_SY340 @ W2 @ W1 @ W0 ) @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK119_SY341 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK119_SY341 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK119_SY341 @ W2 @ W1 @ W0 ) @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK117_SY338 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK117_SY338 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK117_SY338 @ W2 @ W1 @ W0 ) @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK116_SY339 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK116_SY339 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK116_SY339 @ W2 @ W1 @ W0 ) @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK114_SY336 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK114_SY336 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK114_SY336 @ W2 @ W1 @ W0 ) @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK113_SY337 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK113_SY337 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK113_SY337 @ W2 @ W1 @ W0 ) @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(48,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( iLess0 @ W1 @ W0 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ! [W2: $i] :
( ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W2 @ xR @ W1 ) )
| ( iLess0 @ W1 @ W0 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ( iLess0 @ W1 @ W0 ) )
& ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ( ( aElement0 @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK189_SY386 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK189_SY386 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK189_SY386 @ W2 @ W1 @ W0 ) @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK188_SY387 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK188_SY387 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK188_SY387 @ W2 @ W1 @ W0 ) @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) ) ) )
& ( isLocallyConfluent0 @ xR )
& ( isTerminating0 @ xR ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(49,plain,
( ( aRewritingSystem0 @ xR )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(50,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( iLess0 @ W1 @ W0 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ! [W2: $i] :
( ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W2 @ xR @ W1 ) )
| ( iLess0 @ W1 @ W0 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ( iLess0 @ W1 @ W0 ) )
& ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ( ( aElement0 @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK189_SY386 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK189_SY386 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK189_SY386 @ W2 @ W1 @ W0 ) @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK188_SY387 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK188_SY387 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK188_SY387 @ W2 @ W1 @ W0 ) @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK187_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK187_W3 @ W2 @ W1 @ W0 ) ) ) )
& ( isLocallyConfluent0 @ xR )
& ( isTerminating0 @ xR ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(51,plain,
( ( ( aElement0 @ xa )
& ( aElement0 @ xb )
& ( aElement0 @ xc ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(52,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK186_SY384 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK186_SY384 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK186_SY384 @ W2 @ W1 @ W0 ) @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK185_SY385 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK185_SY385 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK185_SY385 @ W2 @ W1 @ W0 ) @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK184_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK184_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK183_SY382 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK183_SY382 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK183_SY382 @ W2 @ W1 @ W0 ) @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK182_SY383 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK182_SY383 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK182_SY383 @ W2 @ W1 @ W0 ) @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK181_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK181_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK180_SY380 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK180_SY380 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK180_SY380 @ W2 @ W1 @ W0 ) @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK179_SY381 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK179_SY381 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK179_SY381 @ W2 @ W1 @ W0 ) @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK178_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK178_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK177_SY378 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK177_SY378 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK177_SY378 @ W2 @ W1 @ W0 ) @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK176_SY379 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK176_SY379 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK176_SY379 @ W2 @ W1 @ W0 ) @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK175_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK175_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK174_SY376 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK174_SY376 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK174_SY376 @ W2 @ W1 @ W0 ) @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK173_SY377 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK173_SY377 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK173_SY377 @ W2 @ W1 @ W0 ) @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK172_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK172_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK171_SY374 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK171_SY374 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK171_SY374 @ W2 @ W1 @ W0 ) @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK170_SY375 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK170_SY375 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK170_SY375 @ W2 @ W1 @ W0 ) @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK169_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK169_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK168_SY372 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK168_SY372 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK168_SY372 @ W2 @ W1 @ W0 ) @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK167_SY373 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK167_SY373 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK167_SY373 @ W2 @ W1 @ W0 ) @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK166_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK166_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK165_SY370 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK165_SY370 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK165_SY370 @ W2 @ W1 @ W0 ) @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK164_SY371 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK164_SY371 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK164_SY371 @ W2 @ W1 @ W0 ) @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK163_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK163_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK162_SY368 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK162_SY368 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK162_SY368 @ W2 @ W1 @ W0 ) @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK161_SY369 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK161_SY369 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK161_SY369 @ W2 @ W1 @ W0 ) @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK160_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK160_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK159_SY366 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK159_SY366 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK159_SY366 @ W2 @ W1 @ W0 ) @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK158_SY367 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK158_SY367 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK158_SY367 @ W2 @ W1 @ W0 ) @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK157_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK157_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK156_SY364 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK156_SY364 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK156_SY364 @ W2 @ W1 @ W0 ) @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK155_SY365 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK155_SY365 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK155_SY365 @ W2 @ W1 @ W0 ) @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK154_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK154_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK153_SY362 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK153_SY362 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK153_SY362 @ W2 @ W1 @ W0 ) @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK152_SY363 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK152_SY363 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK152_SY363 @ W2 @ W1 @ W0 ) @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK151_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK151_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK150_SY360 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK150_SY360 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK150_SY360 @ W2 @ W1 @ W0 ) @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK149_SY361 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK149_SY361 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK149_SY361 @ W2 @ W1 @ W0 ) @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK148_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK148_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK147_SY358 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK147_SY358 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK147_SY358 @ W2 @ W1 @ W0 ) @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK146_SY359 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK146_SY359 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK146_SY359 @ W2 @ W1 @ W0 ) @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK145_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK145_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK144_SY356 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK144_SY356 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK144_SY356 @ W2 @ W1 @ W0 ) @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK143_SY357 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK143_SY357 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK143_SY357 @ W2 @ W1 @ W0 ) @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK142_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK142_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK141_SY354 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK141_SY354 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK141_SY354 @ W2 @ W1 @ W0 ) @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK140_SY355 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK140_SY355 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK140_SY355 @ W2 @ W1 @ W0 ) @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK139_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK139_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK138_SY352 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK138_SY352 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK138_SY352 @ W2 @ W1 @ W0 ) @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK137_SY353 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK137_SY353 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK137_SY353 @ W2 @ W1 @ W0 ) @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK136_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK136_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK135_SY350 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK135_SY350 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK135_SY350 @ W2 @ W1 @ W0 ) @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK134_SY351 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK134_SY351 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK134_SY351 @ W2 @ W1 @ W0 ) @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK133_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK133_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK132_SY348 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK132_SY348 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK132_SY348 @ W2 @ W1 @ W0 ) @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK131_SY349 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK131_SY349 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK131_SY349 @ W2 @ W1 @ W0 ) @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK130_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK130_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ( W0 != W2 )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK129_SY346 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK129_SY346 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK129_SY346 @ W2 @ W1 @ W0 ) @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK128_SY347 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK128_SY347 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK128_SY347 @ W2 @ W1 @ W0 ) @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK127_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK127_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK126_SY344 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK126_SY344 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK126_SY344 @ W2 @ W1 @ W0 ) @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK125_SY345 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK125_SY345 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK125_SY345 @ W2 @ W1 @ W0 ) @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK124_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK124_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK123_SY342 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK123_SY342 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK123_SY342 @ W2 @ W1 @ W0 ) @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK122_SY343 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK122_SY343 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK122_SY343 @ W2 @ W1 @ W0 ) @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK121_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK121_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ! [W3: $i] :
( ~ ( aElement0 @ W3 )
| ~ ( aReductOfIn0 @ W3 @ W0 @ xR )
| ~ ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK120_SY340 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK120_SY340 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK120_SY340 @ W2 @ W1 @ W0 ) @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK119_SY341 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK119_SY341 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK119_SY341 @ W2 @ W1 @ W0 ) @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK118_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK118_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ( W0 != W1 )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK117_SY338 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK117_SY338 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK117_SY338 @ W2 @ W1 @ W0 ) @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK116_SY339 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK116_SY339 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK116_SY339 @ W2 @ W1 @ W0 ) @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK115_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK115_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aElement0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aReductOfIn0 @ W1 @ W0 @ xR )
| ~ ( aReductOfIn0 @ W2 @ W0 @ xR )
| ~ ( iLess0 @ W0 @ xa )
| ( ( aElement0 @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W1 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
| ( W1
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK114_SY336 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK114_SY336 @ W2 @ W1 @ W0 ) @ W1 @ xR )
& ( sdtmndtplgtdt0 @ ( sK114_SY336 @ W2 @ W1 @ W0 ) @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ W2 @ W1 @ W0 ) @ W1 @ xR )
| ( W1
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
& ( ( sdtmndtplgtdt0 @ W2 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) )
| ( W2
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( ( ( aElement0 @ ( sK113_SY337 @ W2 @ W1 @ W0 ) )
& ( aReductOfIn0 @ ( sK113_SY337 @ W2 @ W1 @ W0 ) @ W2 @ xR )
& ( sdtmndtplgtdt0 @ ( sK113_SY337 @ W2 @ W1 @ W0 ) @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ W2 @ W1 @ W0 ) @ W2 @ xR )
| ( W2
= ( sK112_W3 @ W2 @ W1 @ W0 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ ( sK112_W3 @ W2 @ W1 @ W0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(53,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(54,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(55,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
( ~ ( aReductOfIn0 @ W2 @ W0 @ W1 )
| ( aElement0 @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(56,plain,
( ( ! [W0: $i] :
~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aElement0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(57,plain,
( ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 )
| $true ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(58,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aElement0 @ W3 )
| ~ ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 )
| ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(59,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aElement0 @ W3 )
| ~ ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
| ~ ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 )
| ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(60,plain,
( ( ! [W0: $i] :
( ~ ( aRewritingSystem0 @ W0 )
| ~ ( isTerminating0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ W1 @ W0 ) @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(61,plain,
( ( sdtmndtasgtdt0 @ xa @ xR @ xc )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(62,plain,
( ( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| ( xa = xc ) )
& ( ( ( aElement0 @ sK110_W0 )
& ( aReductOfIn0 @ sK110_W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR )
| ( xa = xc ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(63,plain,
( ( sdtmndtasgtdt0 @ xa @ xR @ xb )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(64,plain,
( ( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ( xa = xb ) )
& ( ( ( aElement0 @ sK109_W0 )
& ( aReductOfIn0 @ sK109_W0 @ xa @ xR )
& ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR )
| ( xa = xb ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(65,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
& ( sK108_REN
=> ( ( aElement0 @ sK89_W0 )
& ( aReductOfIn0 @ sK89_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
& ( ( ( aElement0 @ sK99_SY305 )
& ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb )
& ( aElement0 @ sK90_SY306 )
& ( aReductOfIn0 @ sK90_SY306 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
& ( ( ( aElement0 @ sK98_SY316 )
& ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR )
& ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) )
& ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc )
& ( aElement0 @ sK91_SY317 )
& ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
& ( ( ( aElement0 @ sK97_SY325 )
& ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) )
& ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
& ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
& ( ( ( aElement0 @ sK96_SY326 )
& ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR )
& ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) )
& ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
& ( aElement0 @ sK92_SY327 )
& ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
& ( ( ( aElement0 @ sK95_SY332 )
& ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR )
& ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) )
& ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
& ! [SY333: $i] :
~ ( aReductOfIn0 @ SY333 @ sK92_SY327 @ xR )
& ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
& ( ( ( aElement0 @ sK94_SY334 )
& ( aReductOfIn0 @ sK94_SY334 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
& ( ( ( aElement0 @ sK93_SY335 )
& ( aReductOfIn0 @ sK93_SY335 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) )
& ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| sK107_REN )
& ( sK107_REN
=> ( ( aElement0 @ sK78_W0 )
& ( aReductOfIn0 @ sK78_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
& ( ( ( aElement0 @ sK88_SY274 )
& ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb )
& ( aElement0 @ sK79_SY275 )
& ( aReductOfIn0 @ sK79_SY275 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
& ( ( ( aElement0 @ sK87_SY285 )
& ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR )
& ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) )
& ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc )
& ( aElement0 @ sK80_SY286 )
& ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
& ( ( ( aElement0 @ sK86_SY294 )
& ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) )
& ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
& ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
& ( ( ( aElement0 @ sK85_SY295 )
& ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR )
& ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) )
& ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
& ( aElement0 @ sK81_SY296 )
& ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
& ( ( ( aElement0 @ sK84_SY301 )
& ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR )
& ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) )
& ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
& ! [SY302: $i] :
~ ( aReductOfIn0 @ SY302 @ sK81_SY296 @ xR )
& ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
& ( ( ( aElement0 @ sK83_SY303 )
& ( aReductOfIn0 @ sK83_SY303 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
& ( ( ( aElement0 @ sK82_SY304 )
& ( aReductOfIn0 @ sK82_SY304 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) )
& ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
& ( sK106_REN
=> ( ( aElement0 @ sK67_W0 )
& ( aReductOfIn0 @ sK67_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
& ( ( ( aElement0 @ sK77_SY243 )
& ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb )
& ( aElement0 @ sK68_SY244 )
& ( aReductOfIn0 @ sK68_SY244 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
& ( ( ( aElement0 @ sK76_SY254 )
& ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR )
& ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) )
& ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc )
& ( aElement0 @ sK69_SY255 )
& ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
& ( ( ( aElement0 @ sK75_SY263 )
& ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) )
& ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
& ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
& ( ( ( aElement0 @ sK74_SY264 )
& ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR )
& ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) )
& ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
& ( aElement0 @ sK70_SY265 )
& ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
& ( ( ( aElement0 @ sK73_SY270 )
& ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR )
& ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) )
& ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
& ! [SY271: $i] :
~ ( aReductOfIn0 @ SY271 @ sK70_SY265 @ xR )
& ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
& ( ( ( aElement0 @ sK72_SY272 )
& ( aReductOfIn0 @ sK72_SY272 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
& ( ( ( aElement0 @ sK71_SY273 )
& ( aReductOfIn0 @ sK71_SY273 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) )
& ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
& ( sK105_REN
=> ( ( aElement0 @ sK56_W0 )
& ( aReductOfIn0 @ sK56_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
& ( ( ( aElement0 @ sK66_SY212 )
& ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb )
& ( aElement0 @ sK57_SY213 )
& ( aReductOfIn0 @ sK57_SY213 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
& ( ( ( aElement0 @ sK65_SY223 )
& ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR )
& ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) )
& ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc )
& ( aElement0 @ sK58_SY224 )
& ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
& ( ( ( aElement0 @ sK64_SY232 )
& ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) )
& ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
& ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
& ( ( ( aElement0 @ sK63_SY233 )
& ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR )
& ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) )
& ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
& ( aElement0 @ sK59_SY234 )
& ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
& ( ( ( aElement0 @ sK62_SY239 )
& ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR )
& ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) )
& ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
& ! [SY240: $i] :
~ ( aReductOfIn0 @ SY240 @ sK59_SY234 @ xR )
& ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
& ( ( ( aElement0 @ sK61_SY241 )
& ( aReductOfIn0 @ sK61_SY241 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
& ( ( ( aElement0 @ sK60_SY242 )
& ( aReductOfIn0 @ sK60_SY242 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) )
& ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| sK104_REN )
& ( sK104_REN
=> ( ( aElement0 @ sK45_W0 )
& ( aReductOfIn0 @ sK45_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
& ( ( ( aElement0 @ sK55_SY181 )
& ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb )
& ( aElement0 @ sK46_SY182 )
& ( aReductOfIn0 @ sK46_SY182 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
& ( ( ( aElement0 @ sK54_SY192 )
& ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR )
& ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) )
& ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc )
& ( aElement0 @ sK47_SY193 )
& ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
& ( ( ( aElement0 @ sK53_SY201 )
& ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) )
& ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
& ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
& ( ( ( aElement0 @ sK52_SY202 )
& ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR )
& ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) )
& ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
& ( aElement0 @ sK48_SY203 )
& ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
& ( ( ( aElement0 @ sK51_SY208 )
& ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR )
& ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) )
& ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
& ! [SY209: $i] :
~ ( aReductOfIn0 @ SY209 @ sK48_SY203 @ xR )
& ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
& ( ( ( aElement0 @ sK50_SY210 )
& ( aReductOfIn0 @ sK50_SY210 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
& ( ( ( aElement0 @ sK49_SY211 )
& ( aReductOfIn0 @ sK49_SY211 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) )
& ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
& ( sK103_REN
=> ( ( aElement0 @ sK34_W0 )
& ( aReductOfIn0 @ sK34_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
& ( ( ( aElement0 @ sK44_SY150 )
& ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb )
& ( aElement0 @ sK35_SY151 )
& ( aReductOfIn0 @ sK35_SY151 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
& ( ( ( aElement0 @ sK43_SY161 )
& ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR )
& ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) )
& ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc )
& ( aElement0 @ sK36_SY162 )
& ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
& ( ( ( aElement0 @ sK42_SY170 )
& ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) )
& ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
& ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
& ( ( ( aElement0 @ sK41_SY171 )
& ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR )
& ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) )
& ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
& ( aElement0 @ sK37_SY172 )
& ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
& ( ( ( aElement0 @ sK40_SY177 )
& ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR )
& ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) )
& ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
& ! [SY178: $i] :
~ ( aReductOfIn0 @ SY178 @ sK37_SY172 @ xR )
& ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
& ( ( ( aElement0 @ sK39_SY179 )
& ( aReductOfIn0 @ sK39_SY179 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
& ( ( ( aElement0 @ sK38_SY180 )
& ( aReductOfIn0 @ sK38_SY180 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) )
& ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
& ( sK102_REN
=> ( ( aElement0 @ sK23_W0 )
& ( aReductOfIn0 @ sK23_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
& ( ( ( aElement0 @ sK33_SY119 )
& ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb )
& ( aElement0 @ sK24_SY120 )
& ( aReductOfIn0 @ sK24_SY120 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
& ( ( ( aElement0 @ sK32_SY130 )
& ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR )
& ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) )
& ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc )
& ( aElement0 @ sK25_SY131 )
& ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
& ( ( ( aElement0 @ sK31_SY139 )
& ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) )
& ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
& ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
& ( ( ( aElement0 @ sK30_SY140 )
& ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR )
& ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) )
& ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
& ( aElement0 @ sK26_SY141 )
& ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
& ( ( ( aElement0 @ sK29_SY146 )
& ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR )
& ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) )
& ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
& ! [SY147: $i] :
~ ( aReductOfIn0 @ SY147 @ sK26_SY141 @ xR )
& ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
& ( ( ( aElement0 @ sK28_SY148 )
& ( aReductOfIn0 @ sK28_SY148 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
& ( ( ( aElement0 @ sK27_SY149 )
& ( aReductOfIn0 @ sK27_SY149 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) )
& ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xc ) )
| sK101_REN )
& ( sK101_REN
=> ( ( aElement0 @ sK12_W0 )
& ( aReductOfIn0 @ sK12_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
& ( ( ( aElement0 @ sK22_SY88 )
& ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb )
& ( aElement0 @ sK13_SY89 )
& ( aReductOfIn0 @ sK13_SY89 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
& ( ( ( aElement0 @ sK21_SY99 )
& ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR )
& ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) )
& ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc )
& ( aElement0 @ sK14_SY100 )
& ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
& ( ( ( aElement0 @ sK20_SY108 )
& ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) )
& ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
& ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
& ( ( ( aElement0 @ sK19_SY109 )
& ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR )
& ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) )
& ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
& ( aElement0 @ sK15_SY110 )
& ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
& ( ( ( aElement0 @ sK18_SY115 )
& ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR )
& ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) )
& ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
& ! [SY116: $i] :
~ ( aReductOfIn0 @ SY116 @ sK15_SY110 @ xR )
& ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
& ( ( ( aElement0 @ sK17_SY117 )
& ( aReductOfIn0 @ sK17_SY117 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
& ( ( ( aElement0 @ sK16_SY118 )
& ( aReductOfIn0 @ sK16_SY118 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) )
& ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
& ( sK100_REN
=> ( ( aElement0 @ sK1_W0 )
& ( aReductOfIn0 @ sK1_W0 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
& ( ( ( aElement0 @ sK11_SY57 )
& ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) )
& ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb )
& ( aElement0 @ sK2_SY58 )
& ( aReductOfIn0 @ sK2_SY58 @ xa @ xR )
& ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
& ( ( ( aElement0 @ sK10_SY68 )
& ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR )
& ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) )
& ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc )
& ( aElement0 @ sK3_SY69 )
& ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
& ( ( ( aElement0 @ sK9_SY77 )
& ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR )
& ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) )
& ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
& ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
& ( ( ( aElement0 @ sK8_SY78 )
& ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR )
& ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) )
& ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
& ( aElement0 @ sK4_SY79 )
& ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
& ( ( ( aElement0 @ sK7_SY84 )
& ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR )
& ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) )
& ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
& ! [SY85: $i] :
~ ( aReductOfIn0 @ SY85 @ sK4_SY79 @ xR )
& ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
& ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
& ( ( ( aElement0 @ sK6_SY86 )
& ( aReductOfIn0 @ sK6_SY86 @ xb @ xR )
& ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) )
& ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 )
& ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
& ( ( ( aElement0 @ sK5_SY87 )
& ( aReductOfIn0 @ sK5_SY87 @ xc @ xR )
& ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) )
& ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(66,plain,
( ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ( xc != W0 ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
( ~ ( aElement0 @ W1 )
| ~ ( aReductOfIn0 @ W1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ W1 @ xR @ W0 ) )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ( xb != W0 )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xb @ xR )
| ~ ( aReductOfIn0 @ W0 @ xc @ xR ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(67,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(68,plain,
( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ( xa = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR )
| ( xa = xb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(69,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(70,plain,
( ( ~ ( ~ ~ ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) )
| ~ ( aElement0 @ xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(71,plain,
( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| ( xa = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR )
| ( xa = xc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(72,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX1 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK184_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK181_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX1 ) )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK178_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ( SX0 != SX1 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK175_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK172_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK169_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK166_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX1 ) )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK163_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ( SX0 != SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK160_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK157_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX1 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX2 ) )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK154_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX2 ) )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK151_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX1 ) )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX2 ) )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK148_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ( SX0 != SX1 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX2 ) )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK145_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX2 ) )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK142_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX1 )
| ( SX0 != SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK139_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( SX0 != SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK136_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX1 ) )
| ( SX0 != SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK133_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ( SX0 != SX1 )
| ( SX0 != SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK130_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( SX0 != SX2 )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK127_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtasgtdt0 @ SX0 @ xR @ SX1 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK124_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK121_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ! [SX3: $i] :
( ~ ( aElement0 @ SX3 )
| ~ ( aReductOfIn0 @ SX3 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX3 @ xR @ SX1 ) )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK118_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ( SX0 != SX1 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK115_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( iLess0 @ SX0 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK112_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(73,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) )
| ~ ( isTerminating0 @ xR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(74,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(75,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(76,plain,
! [SV3: $i] :
( ( ! [SY388: $i] :
( ~ ( aElement0 @ SV3 )
| ~ ( aRewritingSystem0 @ SY388 )
| ! [SY389: $i] :
( ~ ( aReductOfIn0 @ SY389 @ SV3 @ SY388 )
| ( aElement0 @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(77,plain,
( ( ( ! [W0: $i] :
~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(78,plain,
! [SV4: $i] :
( ( ~ ( aElement0 @ SV4 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 )
| $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(79,plain,
! [SV5: $i] :
( ( ! [SY392: $i,SY393: $i,SY394: $i] :
( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SY392 )
| ~ ( aElement0 @ SY393 )
| ~ ( aElement0 @ SY394 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SY392 @ SY393 )
| ~ ( sdtmndtplgtdt0 @ SY393 @ SY392 @ SY394 )
| ( sdtmndtplgtdt0 @ SV5 @ SY392 @ SY394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(80,plain,
! [SV6: $i] :
( ( ! [SY395: $i,SY396: $i,SY397: $i] :
( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SY395 )
| ~ ( aElement0 @ SY396 )
| ~ ( aElement0 @ SY397 )
| ~ ( sdtmndtasgtdt0 @ SV6 @ SY395 @ SY396 )
| ~ ( sdtmndtasgtdt0 @ SY396 @ SY395 @ SY397 )
| ( sdtmndtasgtdt0 @ SV6 @ SY395 @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(81,plain,
! [SV7: $i] :
( ( ~ ( aRewritingSystem0 @ SV7 )
| ~ ( isTerminating0 @ SV7 )
| ! [SY398: $i] :
( ~ ( aElement0 @ SY398 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ SY398 @ SV7 ) @ SY398 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(82,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(83,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ( xa = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR )
| ( xa = xb ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(84,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(85,plain,
( ( ~ ~ ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) )
| ~ ( aElement0 @ xc ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(86,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| ( xa = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR )
| ( xa = xc ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(88,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) )
| ~ ( isTerminating0 @ xR ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV9: $i,SV3: $i] :
( ( ~ ( aElement0 @ SV3 )
| ~ ( aRewritingSystem0 @ SV9 )
| ! [SY459: $i] :
( ~ ( aReductOfIn0 @ SY459 @ SV3 @ SV9 )
| ( aElement0 @ SY459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(90,plain,
( ( ( ! [W0: $i] :
~ ( aElement0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY460: $i,SY461: $i] :
( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV10 )
| ~ ( aElement0 @ SY460 )
| ~ ( aElement0 @ SY461 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SY460 )
| ~ ( sdtmndtplgtdt0 @ SY460 @ SV10 @ SY461 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SY461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV11: $i,SV6: $i] :
( ( ! [SY462: $i,SY463: $i] :
( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SV11 )
| ~ ( aElement0 @ SY462 )
| ~ ( aElement0 @ SY463 )
| ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SY462 )
| ~ ( sdtmndtasgtdt0 @ SY462 @ SV11 @ SY463 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(94,plain,
! [SV7: $i] :
( ( ( ~ ( aRewritingSystem0 @ SV7 )
| ~ ( isTerminating0 @ SV7 ) )
= $true )
| ( ( ! [SY398: $i] :
( ~ ( aElement0 @ SY398 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ SY398 @ SV7 ) @ SY398 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(95,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(96,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(97,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ( xa = xb ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(98,plain,
( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR )
| ( xa = xb ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(99,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(100,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(101,plain,
( ( ~ ~ ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(102,plain,
( ( ~ ( aElement0 @ xc ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(103,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| ( xa = xc ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(104,plain,
( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR )
| ( xa = xc ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(105,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(106,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(107,plain,
( ( ~ ( isTerminating0 @ xR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(108,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( aElement0 @ SV3 )
| ~ ( aRewritingSystem0 @ SV9 ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( aReductOfIn0 @ SY459 @ SV3 @ SV9 )
| ( aElement0 @ SY459 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV12: $i] :
( ( ( ~ ( aElement0 @ SV12 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 ) )
= $true )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ! [SY464: $i] :
( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV10 )
| ~ ( aElement0 @ SV13 )
| ~ ( aElement0 @ SY464 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SY464 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV14: $i,SV11: $i,SV6: $i] :
( ( ! [SY465: $i] :
( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SV11 )
| ~ ( aElement0 @ SV14 )
| ~ ( aElement0 @ SY465 )
| ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SY465 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SY465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV7: $i] :
( ( ( ~ ( aRewritingSystem0 @ SV7 ) )
= $true )
| ( ( ~ ( isTerminating0 @ SV7 ) )
= $true )
| ( ( ! [SY398: $i] :
( ~ ( aElement0 @ SY398 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ SY398 @ SV7 ) @ SY398 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(114,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(115,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(116,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ( xa = xb ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(117,plain,
( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR )
| ( xa = xb ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(118,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(119,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(120,plain,
( ( ~ ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(121,plain,
( ( aElement0 @ xc )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(122,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| ( xa = xc ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(123,plain,
( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR )
| ( xa = xc ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(124,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(125,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(126,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(127,plain,
( ( isTerminating0 @ xR )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(128,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( aElement0 @ SV3 ) )
= $true )
| ( ( ~ ( aRewritingSystem0 @ SV9 ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( aReductOfIn0 @ SY459 @ SV3 @ SV9 )
| ( aElement0 @ SY459 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(129,plain,
! [SV12: $i] :
( ( ( aElement0 @ SV12 )
= $false )
| ( ( ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 ) )
= $true )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV10 )
| ~ ( aElement0 @ SV13 )
| ~ ( aElement0 @ SV15 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SV11 )
| ~ ( aElement0 @ SV14 )
| ~ ( aElement0 @ SV16 )
| ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV7: $i] :
( ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( ~ ( isTerminating0 @ SV7 ) )
= $true )
| ( ( ! [SY398: $i] :
( ~ ( aElement0 @ SY398 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ SY398 @ SV7 ) @ SY398 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(134,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(135,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(136,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(137,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ xa @ xR ) )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(138,plain,
( ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(139,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(140,plain,
( ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(141,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(142,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(143,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(144,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(145,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(146,plain,
! [SV9: $i,SV3: $i] :
( ( ( aElement0 @ SV3 )
= $false )
| ( ( ~ ( aRewritingSystem0 @ SV9 ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( aReductOfIn0 @ SY459 @ SV3 @ SV9 )
| ( aElement0 @ SY459 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(147,plain,
! [SV12: $i,SV17: $i] :
( ( ( ~ ( aElement0 @ SV17 ) )
= $true )
| ( ( aElement0 @ SV12 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(148,plain,
! [SV4: $i] :
( ( ( aElement0 @ SV4 )
= $false )
| ( ( ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 ) )
= $true )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(149,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV10 )
| ~ ( aElement0 @ SV13 )
| ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(150,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SV11 )
| ~ ( aElement0 @ SV14 )
| ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(151,plain,
! [SV7: $i] :
( ( ( isTerminating0 @ SV7 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( ! [SY398: $i] :
( ~ ( aElement0 @ SY398 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ SY398 @ SV7 ) @ SY398 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(152,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(153,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(154,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(155,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(156,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(157,plain,
( ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(158,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(159,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(160,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(161,plain,
( ( ~ ( aElement0 @ xa ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(162,plain,
( ( ~ ( aElement0 @ xb ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(163,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(164,plain,
! [SV8: $i] :
( ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(165,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(166,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(167,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(168,plain,
! [SV3: $i,SV9: $i] :
( ( ( aRewritingSystem0 @ SV9 )
= $false )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( ! [SY459: $i] :
( ~ ( aReductOfIn0 @ SY459 @ SV3 @ SV9 )
| ( aElement0 @ SY459 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(169,plain,
! [SV12: $i,SV17: $i] :
( ( ( aElement0 @ SV17 )
= $false )
| ( ( aElement0 @ SV12 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(170,plain,
! [SV4: $i,SV18: $i] :
( ( ( ~ ( aRewritingSystem0 @ SV18 ) )
= $true )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(171,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV10 )
| ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(172,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SV11 )
| ~ ( aElement0 @ SV14 ) )
= $true )
| ( ( ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(173,plain,
! [SV7: $i,SV19: $i] :
( ( ( ~ ( aElement0 @ SV19 )
| ( aNormalFormOfIn0 @ ( sK111_W2 @ SV19 @ SV7 ) @ SV19 @ SV7 ) )
= $true )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( isTerminating0 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(174,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(175,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(176,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(177,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(178,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(179,plain,
( ( ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(180,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(181,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(182,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(183,plain,
( ( aElement0 @ xa )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(184,plain,
( ( aElement0 @ xb )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(185,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(186,plain,
! [SV8: $i] :
( ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(187,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(188,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(189,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(190,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(191,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(192,plain,
! [SV9: $i,SV3: $i,SV20: $i] :
( ( ( ~ ( aReductOfIn0 @ SV20 @ SV3 @ SV9 )
| ( aElement0 @ SV20 ) )
= $true )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( aRewritingSystem0 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV4: $i,SV18: $i] :
( ( ( aRewritingSystem0 @ SV18 )
= $false )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(194,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV10 ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(195,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( aElement0 @ SV6 )
| ~ ( aRewritingSystem0 @ SV11 ) )
= $true )
| ( ( ~ ( aElement0 @ SV14 ) )
= $true )
| ( ( ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(196,plain,
! [SV7: $i,SV19: $i] :
( ( ( ~ ( aElement0 @ SV19 ) )
= $true )
| ( ( aNormalFormOfIn0 @ ( sK111_W2 @ SV19 @ SV7 ) @ SV19 @ SV7 )
= $true )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( isTerminating0 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(197,plain,
! [SV21: $i] :
( ( ~ ( aElement0 @ SV21 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV21 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(198,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(199,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(200,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(201,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(202,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(203,plain,
( ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
| ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(204,plain,
( ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(205,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(206,plain,
( ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(207,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(208,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(209,plain,
! [SV8: $i] :
( ( ! [SY399: $i,SY400: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY399 )
| ~ ( aElement0 @ SY400 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY399 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY400 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY399 @ xR )
| ( SY399
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY399 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY400 @ SY399 @ SV8 ) @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) @ SY400 @ xR )
| ( SY400
= ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY400 @ xR @ ( sK184_W3 @ SY400 @ SY399 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(210,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(211,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(212,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(213,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(214,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( isLocallyConfluent0 @ xR ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(215,plain,
! [SV9: $i,SV3: $i,SV20: $i] :
( ( ( ~ ( aReductOfIn0 @ SV20 @ SV3 @ SV9 ) )
= $true )
| ( ( aElement0 @ SV20 )
= $true )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( aRewritingSystem0 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(216,plain,
! [SV18: $i,SV4: $i,SV22: $i] :
( ( ( ~ ( aElement0 @ SV22 ) )
= $true )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( aRewritingSystem0 @ SV18 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(217,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 ) )
= $true )
| ( ( ~ ( aRewritingSystem0 @ SV10 ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(218,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( aElement0 @ SV6 ) )
= $true )
| ( ( ~ ( aRewritingSystem0 @ SV11 ) )
= $true )
| ( ( ~ ( aElement0 @ SV14 ) )
= $true )
| ( ( ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(219,plain,
! [SV7: $i,SV19: $i] :
( ( ( aElement0 @ SV19 )
= $false )
| ( ( aNormalFormOfIn0 @ ( sK111_W2 @ SV19 @ SV7 ) @ SV19 @ SV7 )
= $true )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( isTerminating0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(220,plain,
! [SV21: $i] :
( ( ( ~ ( aElement0 @ SV21 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV21 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(221,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(222,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(223,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(224,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(225,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(226,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(227,plain,
( ( ( ~ ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(228,plain,
( ( ( sdtmndtplgtdt0 @ sK109_W0 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(229,plain,
( ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(230,plain,
( ( ~ ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(231,plain,
( ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(232,plain,
( ( ~ ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(233,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(234,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(235,plain,
( ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(236,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(237,plain,
( ( ( ~ ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(238,plain,
( ( ( sdtmndtplgtdt0 @ sK110_W0 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(239,plain,
! [SV23: $i,SV8: $i] :
( ( ! [SY466: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV23 )
| ~ ( aElement0 @ SY466 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY466 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SY466 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SY466 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SY466 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY466 @ xR @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) )
| ( SY466
= ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SY466 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SY466 @ SV23 @ SV8 ) @ SY466 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SY466 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) @ SY466 @ xR )
| ( SY466
= ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY466 @ xR @ ( sK184_W3 @ SY466 @ SV23 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(240,plain,
! [SV8: $i] :
( ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(241,plain,
! [SV8: $i] :
( ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(242,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(243,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(244,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(245,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(246,plain,
( ( ~ ( isLocallyConfluent0 @ xR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(247,plain,
! [SV9: $i,SV3: $i,SV20: $i] :
( ( ( aReductOfIn0 @ SV20 @ SV3 @ SV9 )
= $false )
| ( ( aElement0 @ SV20 )
= $true )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( aRewritingSystem0 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(248,plain,
! [SV18: $i,SV4: $i,SV22: $i] :
( ( ( aElement0 @ SV22 )
= $false )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( aRewritingSystem0 @ SV18 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(249,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( aElement0 @ SV5 )
= $false )
| ( ( ~ ( aRewritingSystem0 @ SV10 ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(250,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( aElement0 @ SV6 )
= $false )
| ( ( ~ ( aRewritingSystem0 @ SV11 ) )
= $true )
| ( ( ~ ( aElement0 @ SV14 ) )
= $true )
| ( ( ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(251,plain,
! [SV21: $i] :
( ( ( ~ ( aElement0 @ SV21 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV21 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(252,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(253,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(254,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(255,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(256,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(257,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(258,plain,
( ( ( ~ ( aElement0 @ sK109_W0 )
| ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(259,plain,
( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK108_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(260,plain,
( ( ~ sK108_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(261,plain,
( ( ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(262,plain,
( ( ~ ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(263,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(264,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(265,plain,
( ( ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(266,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(267,plain,
( ( ( ~ ( aElement0 @ sK110_W0 )
| ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(268,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV23 )
| ~ ( aElement0 @ SV24 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(269,plain,
! [SV8: $i] :
( ( ~ ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(270,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(271,plain,
! [SV8: $i] :
( ( ~ ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(272,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(273,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(274,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(275,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ SX1 )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(276,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(277,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ xR )
| ( SX1
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX1 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SX2 @ SX1 @ SX0 ) @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ xR )
| ( SX2
= ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SX2 @ xR @ ( sK187_W3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(278,plain,
( ( isLocallyConfluent0 @ xR )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(279,plain,
! [SV15: $i,SV13: $i,SV5: $i,SV10: $i] :
( ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(280,plain,
! [SV16: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( ~ ( aElement0 @ SV14 ) )
= $true )
| ( ( ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(281,plain,
! [SV21: $i] :
( ( ( aElement0 @ SV21 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV21 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(282,plain,
! [SV25: $i] :
( ( ~ ( aElement0 @ SV25 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV25 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(283,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(284,plain,
! [SV26: $i] :
( ( ~ ( aElement0 @ SV26 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV26 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(285,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(286,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(287,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(288,plain,
( ( ( ~ ( aElement0 @ sK109_W0 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(289,plain,
( ( ( ~ ( aReductOfIn0 @ sK109_W0 @ xa @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(290,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK108_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(291,plain,
( ( ( ~ sK108_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(292,plain,
( ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
| ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(293,plain,
( ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
| ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(294,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
| ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(295,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(296,plain,
( ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
| ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(297,plain,
( ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
| ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(298,plain,
( ( ( ~ ( aElement0 @ sK110_W0 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(299,plain,
( ( ( ~ ( aReductOfIn0 @ sK110_W0 @ xa @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(300,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV23 )
| ~ ( aElement0 @ SV24 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(301,plain,
! [SV8: $i] :
( ( ! [SY401: $i,SY402: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY401 )
| ~ ( aElement0 @ SY402 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY401 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY402 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY401 @ xR )
| ( SY401
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY401 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY402 @ SY401 @ SV8 ) @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) @ SY402 @ xR )
| ( SY402
= ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY402 @ xR @ ( sK181_W3 @ SY402 @ SY401 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(302,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(303,plain,
! [SV8: $i] :
( ( ! [SY410: $i,SY411: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY410 )
| ~ ( aElement0 @ SY411 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY410 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY411 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY410 @ xR )
| ( SY410
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY410 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY411 @ SY410 @ SV8 ) @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) @ SY411 @ xR )
| ( SY411
= ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY411 @ xR @ ( sK169_W3 @ SY411 @ SY410 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(304,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(305,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(306,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(307,plain,
! [SV27: $i] :
( ( ! [SY467: $i] :
( ~ ( aElement0 @ SV27 )
| ~ ( aElement0 @ SY467 )
| ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SY467 )
| ( iLess0 @ SY467 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(308,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(309,plain,
! [SV28: $i] :
( ( ! [SY468: $i,SY469: $i] :
( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SY468 )
| ~ ( aElement0 @ SY469 )
| ~ ( aReductOfIn0 @ SY468 @ SV28 @ xR )
| ~ ( aReductOfIn0 @ SY469 @ SV28 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY468 @ xR @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) )
| ( SY468
= ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SY469 @ SY468 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SY469 @ SY468 @ SV28 ) @ SY468 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SY469 @ SY468 @ SV28 ) @ xR @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) @ SY468 @ xR )
| ( SY468
= ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY468 @ xR @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY469 @ xR @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) )
| ( SY469
= ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SY469 @ SY468 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SY469 @ SY468 @ SV28 ) @ SY469 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SY469 @ SY468 @ SV28 ) @ xR @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) @ SY469 @ xR )
| ( SY469
= ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY469 @ xR @ ( sK187_W3 @ SY469 @ SY468 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(310,plain,
! [SV15: $i,SV10: $i,SV5: $i,SV13: $i] :
( ( ( aElement0 @ SV13 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(311,plain,
! [SV16: $i,SV11: $i,SV6: $i,SV14: $i] :
( ( ( aElement0 @ SV14 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( ~ ( aElement0 @ SV16 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(312,plain,
! [SV21: $i] :
( ( ( sdtmndtasgtdt0 @ xb @ xR @ SV21 )
= $false )
| ( ( aElement0 @ SV21 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(313,plain,
! [SV25: $i] :
( ( ( ~ ( aElement0 @ SV25 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV25 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(314,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(315,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(316,plain,
! [SV26: $i] :
( ( ( ~ ( aElement0 @ SV26 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV26 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(317,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(318,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(319,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(320,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(321,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(322,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(323,plain,
( ( ( aElement0 @ sK109_W0 )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(324,plain,
( ( ( aReductOfIn0 @ sK109_W0 @ xa @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $true )
| ( ( xa = xb )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(325,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK108_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(326,plain,
( ( sK108_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(327,plain,
( ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(328,plain,
( ( ~ ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(329,plain,
( ( ~ ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(330,plain,
( ( ~ ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(331,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(332,plain,
( ( ~ ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(333,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(334,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(335,plain,
( ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(336,plain,
( ( ~ ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(337,plain,
( ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(338,plain,
( ( ~ ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(339,plain,
( ( ( aElement0 @ sK110_W0 )
= $true )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(340,plain,
( ( ( aReductOfIn0 @ sK110_W0 @ xa @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ xa @ xR )
= $true )
| ( ( xa = xc )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(341,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV23 )
| ~ ( aElement0 @ SV24 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(342,plain,
! [SV29: $i,SV8: $i] :
( ( ! [SY470: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV29 )
| ~ ( aElement0 @ SY470 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY470 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SY470 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SY470 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SY470 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY470 @ xR @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) )
| ( SY470
= ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SY470 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SY470 @ SV29 @ SV8 ) @ SY470 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SY470 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) @ SY470 @ xR )
| ( SY470
= ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY470 @ xR @ ( sK181_W3 @ SY470 @ SV29 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(343,plain,
! [SV8: $i] :
( ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(344,plain,
! [SV30: $i,SV8: $i] :
( ( ! [SY471: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV30 )
| ~ ( aElement0 @ SY471 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY471 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SY471 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SY471 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SY471 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY471 @ xR @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) )
| ( SY471
= ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SY471 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SY471 @ SV30 @ SV8 ) @ SY471 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SY471 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) @ SY471 @ xR )
| ( SY471
= ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY471 @ xR @ ( sK169_W3 @ SY471 @ SV30 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(345,plain,
! [SV8: $i] :
( ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(346,plain,
! [SV8: $i] :
( ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(347,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
| ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(348,plain,
! [SV31: $i,SV27: $i] :
( ( ~ ( aElement0 @ SV27 )
| ~ ( aElement0 @ SV31 )
| ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 )
| ( iLess0 @ SV31 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(349,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(350,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(351,plain,
! [SV32: $i,SV28: $i] :
( ( ! [SY472: $i] :
( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SV32 )
| ~ ( aElement0 @ SY472 )
| ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR )
| ~ ( aReductOfIn0 @ SY472 @ SV28 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SY472 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SY472 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SY472 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY472 @ xR @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) )
| ( SY472
= ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SY472 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SY472 @ SV32 @ SV28 ) @ SY472 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SY472 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) @ SY472 @ xR )
| ( SY472
= ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY472 @ xR @ ( sK187_W3 @ SY472 @ SV32 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(352,plain,
! [SV13: $i,SV5: $i,SV10: $i,SV15: $i] :
( ( ( aElement0 @ SV15 )
= $false )
| ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aElement0 @ SV13 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
| ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(353,plain,
! [SV14: $i,SV6: $i,SV11: $i,SV16: $i] :
( ( ( aElement0 @ SV16 )
= $false )
| ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( aElement0 @ SV14 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
| ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(354,plain,
! [SV21: $i] :
( ( ( sdtmndtasgtdt0 @ xc @ xR @ SV21 )
= $false )
| ( ( aElement0 @ SV21 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(355,plain,
! [SV25: $i] :
( ( ( ~ ( aElement0 @ SV25 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV25 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(356,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(357,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(358,plain,
! [SV26: $i] :
( ( ( ~ ( aElement0 @ SV26 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV26 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(359,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(360,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(361,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(362,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(363,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(364,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(365,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK108_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(366,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(367,plain,
( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK107_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(368,plain,
( ( ~ sK107_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(369,plain,
( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK106_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(370,plain,
( ( ~ sK106_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(371,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK105_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(372,plain,
( ( ~ sK105_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(373,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(374,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(375,plain,
( ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
| sK102_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(376,plain,
( ( ~ sK102_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(377,plain,
( ( ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(378,plain,
( ( ~ ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(379,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV23 )
| ~ ( aElement0 @ SV24 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(380,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV29 )
| ~ ( aElement0 @ SV33 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(381,plain,
! [SV8: $i] :
( ( ~ ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(382,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(383,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV30 )
| ~ ( aElement0 @ SV34 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(384,plain,
! [SV8: $i] :
( ( ~ ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(385,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(386,plain,
! [SV8: $i] :
( ( ~ ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(387,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(388,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(389,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(390,plain,
! [SV31: $i,SV27: $i] :
( ( ( ~ ( aElement0 @ SV27 )
| ~ ( aElement0 @ SV31 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 )
| ( iLess0 @ SV31 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(391,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ! [SX2: $i] :
( ~ ( aElement0 @ SX2 )
| ~ ( aReductOfIn0 @ SX2 @ SX0 @ xR )
| ~ ( sdtmndtplgtdt0 @ SX2 @ xR @ SX1 ) )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(392,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ SX0 @ xR )
| ( iLess0 @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(393,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SV32 )
| ~ ( aElement0 @ SV35 )
| ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR )
| ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(394,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
| ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 )
= $true )
| ( ( aElement0 @ SV13 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( aElement0 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(395,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
| ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 )
= $true )
| ( ( aElement0 @ SV14 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( aElement0 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(396,plain,
! [SV25: $i] :
( ( ( aElement0 @ SV25 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV25 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(397,plain,
! [SV36: $i] :
( ( ~ ( aElement0 @ SV36 )
| ! [SY473: $i] :
( ~ ( aElement0 @ SY473 )
| ~ ( aReductOfIn0 @ SY473 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY473 @ xR @ SV36 ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(398,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(399,plain,
! [SV26: $i] :
( ( ( aElement0 @ SV26 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV26 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(400,plain,
! [SV37: $i] :
( ( ~ ( aElement0 @ SV37 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV37 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(401,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(402,plain,
! [SV38: $i] :
( ( ~ ( aElement0 @ SV38 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
| ! [SY474: $i] :
( ~ ( aElement0 @ SY474 )
| ~ ( aReductOfIn0 @ SY474 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY474 @ xR @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(403,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(404,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(405,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(406,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
= $false )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK108_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(407,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(408,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(409,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK107_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(410,plain,
( ( ( ~ sK107_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(411,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
| ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK106_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(412,plain,
( ( ( ~ sK106_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(413,plain,
( ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(414,plain,
( ( ( ~ sK105_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(415,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
| ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(416,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
| ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(417,plain,
( ( ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK102_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(418,plain,
( ( ( ~ sK102_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(419,plain,
( ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
| ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(420,plain,
( ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
| ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(421,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV23 ) )
= $true )
| ( ( ~ ( aElement0 @ SV24 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(422,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV29 )
| ~ ( aElement0 @ SV33 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(423,plain,
! [SV8: $i] :
( ( ! [SY403: $i,SY404: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY403 )
| ~ ( aElement0 @ SY404 )
| ! [SY405: $i] :
( ~ ( aElement0 @ SY405 )
| ~ ( aReductOfIn0 @ SY405 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY405 @ xR @ SY403 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY404 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY403 @ xR )
| ( SY403
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY403 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY404 @ SY403 @ SV8 ) @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) @ SY404 @ xR )
| ( SY404
= ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY404 @ xR @ ( sK178_W3 @ SY404 @ SY403 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(424,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(425,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV30 )
| ~ ( aElement0 @ SV34 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(426,plain,
! [SV8: $i] :
( ( ! [SY412: $i,SY413: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY412 )
| ~ ( aElement0 @ SY413 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY412 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY413 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY412 @ xR )
| ( SY412
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY412 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY413 @ SY412 @ SV8 ) @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) @ SY413 @ xR )
| ( SY413
= ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY413 @ xR @ ( sK166_W3 @ SY413 @ SY412 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(427,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(428,plain,
! [SV8: $i] :
( ( ! [SY421: $i,SY422: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY421 )
| ~ ( aElement0 @ SY422 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY421 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY422 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY421 @ xR )
| ( SY421
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY421 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY422 @ SY421 @ SV8 ) @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) @ SY422 @ xR )
| ( SY422
= ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY422 @ xR @ ( sK154_W3 @ SY422 @ SY421 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(429,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(430,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(431,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(432,plain,
! [SV31: $i,SV27: $i] :
( ( ( ~ ( aElement0 @ SV27 ) )
= $true )
| ( ( ~ ( aElement0 @ SV31 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 )
| ( iLess0 @ SV31 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(433,plain,
! [SV39: $i] :
( ( ! [SY475: $i] :
( ~ ( aElement0 @ SV39 )
| ~ ( aElement0 @ SY475 )
| ! [SY476: $i] :
( ~ ( aElement0 @ SY476 )
| ~ ( aReductOfIn0 @ SY476 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY476 @ xR @ SY475 ) )
| ( iLess0 @ SY475 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(434,plain,
! [SV40: $i] :
( ( ! [SY477: $i] :
( ~ ( aElement0 @ SV40 )
| ~ ( aElement0 @ SY477 )
| ~ ( aReductOfIn0 @ SY477 @ SV40 @ xR )
| ( iLess0 @ SY477 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(435,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SV32 )
| ~ ( aElement0 @ SV35 )
| ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR )
| ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(436,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 )
= $true )
| ( ( aElement0 @ SV13 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( aElement0 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(437,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 )
= $true )
| ( ( aElement0 @ SV14 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( aElement0 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(438,plain,
! [SV25: $i] :
( ( ( sdtmndtplgtdt0 @ xb @ xR @ SV25 )
= $false )
| ( ( aElement0 @ SV25 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(439,plain,
! [SV36: $i] :
( ( ( ~ ( aElement0 @ SV36 )
| ! [SY473: $i] :
( ~ ( aElement0 @ SY473 )
| ~ ( aReductOfIn0 @ SY473 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY473 @ xR @ SV36 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(440,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(441,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(442,plain,
! [SV26: $i] :
( ( ( sdtmndtasgtdt0 @ xb @ xR @ SV26 )
= $false )
| ( ( aElement0 @ SV26 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV37: $i] :
( ( ( ~ ( aElement0 @ SV37 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV37 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(444,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(445,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(446,plain,
! [SV38: $i] :
( ( ( ~ ( aElement0 @ SV38 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV38 ) )
= $true )
| ( ( ! [SY474: $i] :
( ~ ( aElement0 @ SY474 )
| ~ ( aReductOfIn0 @ SY474 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY474 @ xR @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(447,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(448,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(449,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(450,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(451,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(452,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(453,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(454,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(455,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK107_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(456,plain,
( ( sK107_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(457,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK106_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(458,plain,
( ( sK106_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(459,plain,
( ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(460,plain,
( ( sK105_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(461,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(462,plain,
( ( ~ ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(463,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(464,plain,
( ( ~ ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(465,plain,
( ( ( ~ ( aReductOfIn0 @ xb @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK102_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(466,plain,
( ( sK102_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(467,plain,
( ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(468,plain,
( ( ~ ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(469,plain,
( ( ~ ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(470,plain,
( ( ~ ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(471,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV23 ) )
= $true )
| ( ( ~ ( aElement0 @ SV24 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(472,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV29 )
| ~ ( aElement0 @ SV33 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(473,plain,
! [SV41: $i,SV8: $i] :
( ( ! [SY478: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV41 )
| ~ ( aElement0 @ SY478 )
| ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY478 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SY478 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SY478 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SY478 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY478 @ xR @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) )
| ( SY478
= ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SY478 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SY478 @ SV41 @ SV8 ) @ SY478 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SY478 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) @ SY478 @ xR )
| ( SY478
= ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY478 @ xR @ ( sK178_W3 @ SY478 @ SV41 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(474,plain,
! [SV8: $i] :
( ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) )
| ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(475,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV30 )
| ~ ( aElement0 @ SV34 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(476,plain,
! [SV42: $i,SV8: $i] :
( ( ! [SY480: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV42 )
| ~ ( aElement0 @ SY480 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY480 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SY480 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SY480 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SY480 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY480 @ xR @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) )
| ( SY480
= ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SY480 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SY480 @ SV42 @ SV8 ) @ SY480 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SY480 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) @ SY480 @ xR )
| ( SY480
= ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY480 @ xR @ ( sK166_W3 @ SY480 @ SV42 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(477,plain,
! [SV8: $i] :
( ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(478,plain,
! [SV43: $i,SV8: $i] :
( ( ! [SY481: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV43 )
| ~ ( aElement0 @ SY481 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
| ! [SY423: $i] :
( ~ ( aElement0 @ SY423 )
| ~ ( aReductOfIn0 @ SY423 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY423 @ xR @ SY481 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SY481 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SY481 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SY481 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY481 @ xR @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) )
| ( SY481
= ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SY481 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SY481 @ SV43 @ SV8 ) @ SY481 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SY481 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) @ SY481 @ xR )
| ( SY481
= ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY481 @ xR @ ( sK154_W3 @ SY481 @ SV43 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(479,plain,
! [SV8: $i] :
( ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(480,plain,
! [SV8: $i] :
( ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(481,plain,
! [SV8: $i] :
( ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(482,plain,
! [SV31: $i,SV27: $i] :
( ( ( aElement0 @ SV27 )
= $false )
| ( ( ~ ( aElement0 @ SV31 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 )
| ( iLess0 @ SV31 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(483,plain,
! [SV44: $i,SV39: $i] :
( ( ~ ( aElement0 @ SV39 )
| ~ ( aElement0 @ SV44 )
| ! [SY483: $i] :
( ~ ( aElement0 @ SY483 )
| ~ ( aReductOfIn0 @ SY483 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY483 @ xR @ SV44 ) )
| ( iLess0 @ SV44 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(484,plain,
! [SV45: $i,SV40: $i] :
( ( ~ ( aElement0 @ SV40 )
| ~ ( aElement0 @ SV45 )
| ~ ( aReductOfIn0 @ SV45 @ SV40 @ xR )
| ( iLess0 @ SV45 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(485,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SV32 )
| ~ ( aElement0 @ SV35 )
| ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(486,plain,
! [SV15: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 )
= $true )
| ( ( aElement0 @ SV13 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( aElement0 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(487,plain,
! [SV16: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 )
= $true )
| ( ( aElement0 @ SV14 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( aElement0 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(488,plain,
! [SV25: $i] :
( ( ( sdtmndtasgtdt0 @ xc @ xR @ SV25 )
= $false )
| ( ( aElement0 @ SV25 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(489,plain,
! [SV36: $i] :
( ( ( ~ ( aElement0 @ SV36 ) )
= $true )
| ( ( ! [SY473: $i] :
( ~ ( aElement0 @ SY473 )
| ~ ( aReductOfIn0 @ SY473 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY473 @ xR @ SV36 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(490,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(491,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(492,plain,
! [SV26: $i] :
( ( ( sdtmndtplgtdt0 @ xc @ xR @ SV26 )
= $false )
| ( ( aElement0 @ SV26 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(493,plain,
! [SV37: $i] :
( ( ( ~ ( aElement0 @ SV37 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV37 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(494,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(495,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(496,plain,
! [SV38: $i] :
( ( ( ~ ( aElement0 @ SV38 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV38 ) )
= $true )
| ( ( ! [SY474: $i] :
( ~ ( aElement0 @ SY474 )
| ~ ( aReductOfIn0 @ SY474 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY474 @ xR @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(497,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(498,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(499,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(500,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(501,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(502,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(503,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(504,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(505,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK107_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(506,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(507,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK106_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(508,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(509,plain,
! [SV46: $i] :
( ( ( ~ ( aElement0 @ SV46 )
| ~ ( aReductOfIn0 @ SV46 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SV46 @ xR @ xb ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(510,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(511,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK104_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(512,plain,
( ( ~ sK104_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(513,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK103_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(514,plain,
( ( ~ sK103_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(515,plain,
( ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK102_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(516,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(517,plain,
( ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) )
| sK101_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(518,plain,
( ( ~ sK101_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(519,plain,
( ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR )
| sK100_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(520,plain,
( ( ~ sK100_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(521,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV23 ) )
= $true )
| ( ( ~ ( aElement0 @ SV24 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(522,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV29 )
| ~ ( aElement0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(523,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV41 )
| ~ ( aElement0 @ SV47 )
| ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(524,plain,
! [SV8: $i] :
( ( ~ ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(525,plain,
! [SV8: $i] :
( ( ~ ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(526,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV30 )
| ~ ( aElement0 @ SV34 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(527,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV42 )
| ~ ( aElement0 @ SV48 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(528,plain,
! [SV8: $i] :
( ( ~ ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(529,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(530,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV43 )
| ~ ( aElement0 @ SV49 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
| ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(531,plain,
! [SV8: $i] :
( ( ~ ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(532,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(533,plain,
! [SV8: $i] :
( ( ~ ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(534,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(535,plain,
! [SV8: $i] :
( ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(536,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(537,plain,
! [SV27: $i,SV31: $i] :
( ( ( aElement0 @ SV31 )
= $false )
| ( ( aElement0 @ SV27 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 )
| ( iLess0 @ SV31 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(538,plain,
! [SV44: $i,SV39: $i] :
( ( ( ~ ( aElement0 @ SV39 )
| ~ ( aElement0 @ SV44 ) )
= $true )
| ( ( ! [SY483: $i] :
( ~ ( aElement0 @ SY483 )
| ~ ( aReductOfIn0 @ SY483 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY483 @ xR @ SV44 ) )
| ( iLess0 @ SV44 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(539,plain,
! [SV45: $i,SV40: $i] :
( ( ( ~ ( aElement0 @ SV40 )
| ~ ( aElement0 @ SV45 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV45 @ SV40 @ xR )
| ( iLess0 @ SV45 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(540,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SV32 )
| ~ ( aElement0 @ SV35 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(541,plain,
! [SV5: $i,SV15: $i,SV10: $i,SV13: $i] :
( ( ( sdtmndtplgtdt0 @ SV13 @ SV10 @ SV15 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV13 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV10 @ SV15 )
= $true )
| ( ( aElement0 @ SV13 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV10 )
= $false )
| ( ( aElement0 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(542,plain,
! [SV6: $i,SV16: $i,SV11: $i,SV14: $i] :
( ( ( sdtmndtasgtdt0 @ SV14 @ SV11 @ SV16 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV14 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV6 @ SV11 @ SV16 )
= $true )
| ( ( aElement0 @ SV14 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( aRewritingSystem0 @ SV11 )
= $false )
| ( ( aElement0 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(543,plain,
! [SV36: $i] :
( ( ( aElement0 @ SV36 )
= $false )
| ( ( ! [SY473: $i] :
( ~ ( aElement0 @ SY473 )
| ~ ( aReductOfIn0 @ SY473 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY473 @ xR @ SV36 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(544,plain,
! [SV50: $i] :
( ( ~ ( aElement0 @ SV50 )
| ( xb != SV50 )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(545,plain,
! [SV51: $i] :
( ( ~ ( aElement0 @ SV51 )
| ~ ( aReductOfIn0 @ SV51 @ xb @ xR )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(546,plain,
! [SV37: $i] :
( ( ( aElement0 @ SV37 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV37 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(547,plain,
! [SV52: $i] :
( ( ~ ( aElement0 @ SV52 )
| ! [SY486: $i] :
( ~ ( aElement0 @ SY486 )
| ~ ( aReductOfIn0 @ SY486 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY486 @ xR @ SV52 ) )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(548,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(549,plain,
! [SV38: $i] :
( ( ( aElement0 @ SV38 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV38 ) )
= $true )
| ( ( ! [SY474: $i] :
( ~ ( aElement0 @ SY474 )
| ~ ( aReductOfIn0 @ SY474 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY474 @ xR @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(550,plain,
! [SV53: $i] :
( ( ~ ( aElement0 @ SV53 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
| ! [SY487: $i] :
( ~ ( aElement0 @ SY487 )
| ~ ( aReductOfIn0 @ SY487 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY487 @ xR @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(551,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(552,plain,
! [SV54: $i] :
( ( ~ ( aElement0 @ SV54 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV54 )
| ( xc != SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(553,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(554,plain,
! [SV55: $i] :
( ( ~ ( aElement0 @ SV55 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV55 )
| ~ ( aReductOfIn0 @ SV55 @ xc @ xR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(555,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(556,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(557,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(558,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(559,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(560,plain,
! [SV56: $i] :
( ( ( ~ ( aElement0 @ SV56 )
| ~ ( aReductOfIn0 @ SV56 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SV56 @ xR @ xc ) )
= $true )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK107_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(561,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(562,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(563,plain,
( ( ( aReductOfIn0 @ xc @ xa @ xR )
= $false )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK106_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(564,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(565,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(566,plain,
! [SV46: $i] :
( ( ( ~ ( aElement0 @ SV46 )
| ~ ( aReductOfIn0 @ SV46 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV46 @ xR @ xb ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(567,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(568,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(569,plain,
( ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(570,plain,
( ( ( ~ sK104_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(571,plain,
( ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) )
| ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(572,plain,
( ( ( ~ sK103_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(573,plain,
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK102_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(574,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(575,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(576,plain,
( ( ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK101_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(577,plain,
( ( ( ~ sK101_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(578,plain,
( ( ( ~ ( aReductOfIn0 @ xb @ xa @ xR )
| ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK100_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(579,plain,
( ( ( ~ sK100_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(580,plain,
! [SV24: $i,SV8: $i,SV23: $i] :
( ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV24 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(581,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV29 ) )
= $true )
| ( ( ~ ( aElement0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(582,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV41 )
| ~ ( aElement0 @ SV47 )
| ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(583,plain,
! [SV8: $i] :
( ( ! [SY406: $i,SY407: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY406 )
| ~ ( aElement0 @ SY407 )
| ( SV8 != SY406 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY407 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY406 @ xR )
| ( SY406
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY406 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY407 @ SY406 @ SV8 ) @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) @ SY407 @ xR )
| ( SY407
= ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY407 @ xR @ ( sK175_W3 @ SY407 @ SY406 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(584,plain,
! [SV8: $i] :
( ( ! [SY408: $i,SY409: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY408 )
| ~ ( aElement0 @ SY409 )
| ~ ( aReductOfIn0 @ SY408 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY409 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY408 @ xR )
| ( SY408
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY408 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY409 @ SY408 @ SV8 ) @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) @ SY409 @ xR )
| ( SY409
= ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY409 @ xR @ ( sK172_W3 @ SY409 @ SY408 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(585,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV30 ) )
= $true )
| ( ( ~ ( aElement0 @ SV34 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(586,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV42 )
| ~ ( aElement0 @ SV48 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(587,plain,
! [SV8: $i] :
( ( ! [SY414: $i,SY415: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY414 )
| ~ ( aElement0 @ SY415 )
| ! [SY416: $i] :
( ~ ( aElement0 @ SY416 )
| ~ ( aReductOfIn0 @ SY416 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY416 @ xR @ SY414 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY415 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY414 @ xR )
| ( SY414
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY414 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY415 @ SY414 @ SV8 ) @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) @ SY415 @ xR )
| ( SY415
= ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY415 @ xR @ ( sK163_W3 @ SY415 @ SY414 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(588,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(589,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV43 )
| ~ ( aElement0 @ SV49 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
| ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(590,plain,
! [SV8: $i] :
( ( ! [SY424: $i,SY425: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY424 )
| ~ ( aElement0 @ SY425 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY424 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY425 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY424 @ xR )
| ( SY424
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY424 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY425 @ SY424 @ SV8 ) @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) @ SY425 @ xR )
| ( SY425
= ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY425 @ xR @ ( sK151_W3 @ SY425 @ SY424 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(591,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(592,plain,
! [SV8: $i] :
( ( ! [SY437: $i,SY438: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY437 )
| ~ ( aElement0 @ SY438 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY437 )
| ( SV8 != SY438 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY437 @ xR )
| ( SY437
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY437 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY438 @ SY437 @ SV8 ) @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) @ SY438 @ xR )
| ( SY438
= ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY438 @ xR @ ( sK139_W3 @ SY438 @ SY437 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(593,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(594,plain,
! [SV8: $i] :
( ( ! [SY448: $i,SY449: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY448 )
| ~ ( aElement0 @ SY449 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY448 )
| ~ ( aReductOfIn0 @ SY449 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY448 @ xR )
| ( SY448
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY448 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY449 @ SY448 @ SV8 ) @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) @ SY449 @ xR )
| ( SY449
= ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY449 @ xR @ ( sK124_W3 @ SY449 @ SY448 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(595,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(596,plain,
! [SV31: $i,SV27: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 ) )
= $true )
| ( ( iLess0 @ SV31 @ SV27 )
= $true )
| ( ( aElement0 @ SV27 )
= $false )
| ( ( aElement0 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(597,plain,
! [SV44: $i,SV39: $i] :
( ( ( ~ ( aElement0 @ SV39 ) )
= $true )
| ( ( ~ ( aElement0 @ SV44 ) )
= $true )
| ( ( ! [SY483: $i] :
( ~ ( aElement0 @ SY483 )
| ~ ( aReductOfIn0 @ SY483 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY483 @ xR @ SV44 ) )
| ( iLess0 @ SV44 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(598,plain,
! [SV45: $i,SV40: $i] :
( ( ( ~ ( aElement0 @ SV40 ) )
= $true )
| ( ( ~ ( aElement0 @ SV45 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV45 @ SV40 @ xR )
| ( iLess0 @ SV45 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(599,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ( ~ ( aElement0 @ SV28 )
| ~ ( aElement0 @ SV32 ) )
= $true )
| ( ( ~ ( aElement0 @ SV35 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(600,plain,
! [SV36: $i,SV57: $i] :
( ( ( ~ ( aElement0 @ SV57 )
| ~ ( aReductOfIn0 @ SV57 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 ) )
= $true )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(601,plain,
! [SV50: $i] :
( ( ( ~ ( aElement0 @ SV50 )
| ( xb != SV50 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(602,plain,
! [SV51: $i] :
( ( ( ~ ( aElement0 @ SV51 )
| ~ ( aReductOfIn0 @ SV51 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(603,plain,
! [SV37: $i] :
( ( ( sdtmndtplgtdt0 @ xb @ xR @ SV37 )
= $false )
| ( ( aElement0 @ SV37 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(604,plain,
! [SV52: $i] :
( ( ( ~ ( aElement0 @ SV52 )
| ! [SY486: $i] :
( ~ ( aElement0 @ SY486 )
| ~ ( aReductOfIn0 @ SY486 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY486 @ xR @ SV52 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(605,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(606,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(607,plain,
! [SV38: $i] :
( ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( ! [SY474: $i] :
( ~ ( aElement0 @ SY474 )
| ~ ( aReductOfIn0 @ SY474 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY474 @ xR @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(608,plain,
! [SV53: $i] :
( ( ( ~ ( aElement0 @ SV53 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV53 ) )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( aElement0 @ SY487 )
| ~ ( aReductOfIn0 @ SY487 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY487 @ xR @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(609,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(610,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(611,plain,
! [SV54: $i] :
( ( ( ~ ( aElement0 @ SV54 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV54 ) )
= $true )
| ( ( ( xc != SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(612,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(613,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(614,plain,
! [SV55: $i] :
( ( ( ~ ( aElement0 @ SV55 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV55 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV55 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(615,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(616,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(617,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(618,plain,
( ( ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(619,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(620,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(621,plain,
! [SV56: $i] :
( ( ( ~ ( aElement0 @ SV56 )
| ~ ( aReductOfIn0 @ SV56 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV56 @ xR @ xc ) )
= $true )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK107_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(622,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(623,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(624,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(625,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(626,plain,
! [SV46: $i] :
( ( ( ~ ( aElement0 @ SV46 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV46 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV46 @ xR @ xb ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(627,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(628,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(629,plain,
( ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(630,plain,
( ( sK104_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(631,plain,
( ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xb ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(632,plain,
( ( sK103_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(633,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(634,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(635,plain,
( ( ( ~ ( aReductOfIn0 @ xb @ xa @ xR ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK101_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(636,plain,
( ( sK101_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(637,plain,
( ( ( ~ ( aReductOfIn0 @ xb @ xa @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK100_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(638,plain,
( ( sK100_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(639,plain,
! [SV23: $i,SV8: $i,SV24: $i] :
( ( ( aElement0 @ SV24 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(640,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV29 ) )
= $true )
| ( ( ~ ( aElement0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(641,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV41 )
| ~ ( aElement0 @ SV47 )
| ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(642,plain,
! [SV58: $i,SV8: $i] :
( ( ! [SY488: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV58 )
| ~ ( aElement0 @ SY488 )
| ( SV8 != SV58 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY488 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SY488 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SY488 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SY488 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY488 @ xR @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) )
| ( SY488
= ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SY488 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SY488 @ SV58 @ SV8 ) @ SY488 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SY488 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) @ SY488 @ xR )
| ( SY488
= ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY488 @ xR @ ( sK175_W3 @ SY488 @ SV58 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(643,plain,
! [SV59: $i,SV8: $i] :
( ( ! [SY489: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV59 )
| ~ ( aElement0 @ SY489 )
| ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SY489 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SY489 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SY489 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SY489 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY489 @ xR @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) )
| ( SY489
= ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SY489 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SY489 @ SV59 @ SV8 ) @ SY489 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SY489 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) @ SY489 @ xR )
| ( SY489
= ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY489 @ xR @ ( sK172_W3 @ SY489 @ SV59 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(644,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV30 ) )
= $true )
| ( ( ~ ( aElement0 @ SV34 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(645,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV42 )
| ~ ( aElement0 @ SV48 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(646,plain,
! [SV60: $i,SV8: $i] :
( ( ! [SY490: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV60 )
| ~ ( aElement0 @ SY490 )
| ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY490 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SY490 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SY490 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SY490 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY490 @ xR @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) )
| ( SY490
= ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SY490 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SY490 @ SV60 @ SV8 ) @ SY490 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SY490 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) @ SY490 @ xR )
| ( SY490
= ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY490 @ xR @ ( sK163_W3 @ SY490 @ SV60 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(647,plain,
! [SV8: $i] :
( ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(648,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV43 )
| ~ ( aElement0 @ SV49 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(649,plain,
! [SV61: $i,SV8: $i] :
( ( ! [SY492: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV61 )
| ~ ( aElement0 @ SY492 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
| ! [SY426: $i] :
( ~ ( aElement0 @ SY426 )
| ~ ( aReductOfIn0 @ SY426 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY426 @ xR @ SY492 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SY492 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SY492 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SY492 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY492 @ xR @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) )
| ( SY492
= ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SY492 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SY492 @ SV61 @ SV8 ) @ SY492 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SY492 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) @ SY492 @ xR )
| ( SY492
= ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY492 @ xR @ ( sK151_W3 @ SY492 @ SV61 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(650,plain,
! [SV8: $i] :
( ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(651,plain,
! [SV62: $i,SV8: $i] :
( ( ! [SY494: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV62 )
| ~ ( aElement0 @ SY494 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
| ( SV8 != SY494 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SY494 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SY494 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SY494 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY494 @ xR @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) )
| ( SY494
= ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SY494 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SY494 @ SV62 @ SV8 ) @ SY494 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SY494 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) @ SY494 @ xR )
| ( SY494
= ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY494 @ xR @ ( sK139_W3 @ SY494 @ SV62 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(652,plain,
! [SV8: $i] :
( ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(653,plain,
! [SV63: $i,SV8: $i] :
( ( ! [SY495: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV63 )
| ~ ( aElement0 @ SY495 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
| ~ ( aReductOfIn0 @ SY495 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SY495 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SY495 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SY495 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY495 @ xR @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) )
| ( SY495
= ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SY495 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SY495 @ SV63 @ SV8 ) @ SY495 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SY495 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) @ SY495 @ xR )
| ( SY495
= ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY495 @ xR @ ( sK124_W3 @ SY495 @ SV63 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(654,plain,
! [SV8: $i] :
( ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(655,plain,
! [SV31: $i,SV27: $i] :
( ( ( sdtmndtplgtdt0 @ SV27 @ xR @ SV31 )
= $false )
| ( ( iLess0 @ SV31 @ SV27 )
= $true )
| ( ( aElement0 @ SV27 )
= $false )
| ( ( aElement0 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(656,plain,
! [SV44: $i,SV39: $i] :
( ( ( aElement0 @ SV39 )
= $false )
| ( ( ~ ( aElement0 @ SV44 ) )
= $true )
| ( ( ! [SY483: $i] :
( ~ ( aElement0 @ SY483 )
| ~ ( aReductOfIn0 @ SY483 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY483 @ xR @ SV44 ) )
| ( iLess0 @ SV44 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(657,plain,
! [SV45: $i,SV40: $i] :
( ( ( aElement0 @ SV40 )
= $false )
| ( ( ~ ( aElement0 @ SV45 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV45 @ SV40 @ xR )
| ( iLess0 @ SV45 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(658,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ( ~ ( aElement0 @ SV28 ) )
= $true )
| ( ( ~ ( aElement0 @ SV32 ) )
= $true )
| ( ( ~ ( aElement0 @ SV35 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(659,plain,
! [SV36: $i,SV57: $i] :
( ( ( ~ ( aElement0 @ SV57 )
| ~ ( aReductOfIn0 @ SV57 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 ) )
= $true )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(660,plain,
! [SV50: $i] :
( ( ( ~ ( aElement0 @ SV50 ) )
= $true )
| ( ( ( xb != SV50 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(661,plain,
! [SV51: $i] :
( ( ( ~ ( aElement0 @ SV51 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV51 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(662,plain,
! [SV37: $i] :
( ( ( sdtmndtplgtdt0 @ xc @ xR @ SV37 )
= $false )
| ( ( aElement0 @ SV37 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(663,plain,
! [SV52: $i] :
( ( ( ~ ( aElement0 @ SV52 ) )
= $true )
| ( ( ! [SY486: $i] :
( ~ ( aElement0 @ SY486 )
| ~ ( aReductOfIn0 @ SY486 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY486 @ xR @ SV52 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(664,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(665,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(666,plain,
! [SV38: $i,SV64: $i] :
( ( ( ~ ( aElement0 @ SV64 )
| ~ ( aReductOfIn0 @ SV64 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SV64 @ xR @ SV38 ) )
= $true )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(667,plain,
! [SV53: $i] :
( ( ( ~ ( aElement0 @ SV53 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV53 ) )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( aElement0 @ SY487 )
| ~ ( aReductOfIn0 @ SY487 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY487 @ xR @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(668,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(669,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(670,plain,
! [SV54: $i] :
( ( ( ~ ( aElement0 @ SV54 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV54 ) )
= $true )
| ( ( ( xc != SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(671,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ( xc != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(672,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(673,plain,
! [SV55: $i] :
( ( ( ~ ( aElement0 @ SV55 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV55 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV55 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(674,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(675,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(676,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(677,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(678,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(679,plain,
! [SV56: $i] :
( ( ( ~ ( aElement0 @ SV56 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV56 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV56 @ xR @ xc ) )
= $true )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK107_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(680,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(681,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(682,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(683,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(684,plain,
! [SV46: $i] :
( ( ( aElement0 @ SV46 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV46 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV46 @ xR @ xb ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(685,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(686,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(687,plain,
! [SV65: $i] :
( ( ( ~ ( aElement0 @ SV65 )
| ~ ( aReductOfIn0 @ SV65 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SV65 @ xR @ xb ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(688,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(689,plain,
! [SV66: $i] :
( ( ( ~ ( aElement0 @ SV66 )
| ~ ( aReductOfIn0 @ SV66 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SV66 @ xR @ xb ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(690,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(691,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(692,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(693,plain,
( ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK101_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(694,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(695,plain,
( ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK100_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(696,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(697,plain,
! [SV24: $i,SV23: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(698,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV29 ) )
= $true )
| ( ( ~ ( aElement0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(699,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV41 )
| ~ ( aElement0 @ SV47 ) )
= $true )
| ( ( ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(700,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV58 )
| ~ ( aElement0 @ SV67 )
| ( SV8 != SV58 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(701,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV59 )
| ~ ( aElement0 @ SV68 )
| ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(702,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV30 ) )
= $true )
| ( ( ~ ( aElement0 @ SV34 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(703,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV42 )
| ~ ( aElement0 @ SV48 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(704,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV60 )
| ~ ( aElement0 @ SV69 )
| ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(705,plain,
! [SV8: $i] :
( ( ~ ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(706,plain,
! [SV8: $i] :
( ( ~ ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(707,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV43 )
| ~ ( aElement0 @ SV49 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(708,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV61 )
| ~ ( aElement0 @ SV70 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
| ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(709,plain,
! [SV8: $i] :
( ( ~ ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(710,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(711,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV62 )
| ~ ( aElement0 @ SV71 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
| ( SV8 != SV71 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(712,plain,
! [SV8: $i] :
( ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(713,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(714,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV63 )
| ~ ( aElement0 @ SV72 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
| ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(715,plain,
! [SV8: $i] :
( ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(716,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(717,plain,
! [SV39: $i,SV44: $i] :
( ( ( aElement0 @ SV44 )
= $false )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( ! [SY483: $i] :
( ~ ( aElement0 @ SY483 )
| ~ ( aReductOfIn0 @ SY483 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY483 @ xR @ SV44 ) )
| ( iLess0 @ SV44 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(718,plain,
! [SV40: $i,SV45: $i] :
( ( ( aElement0 @ SV45 )
= $false )
| ( ( aElement0 @ SV40 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV45 @ SV40 @ xR )
| ( iLess0 @ SV45 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(719,plain,
! [SV35: $i,SV32: $i,SV28: $i] :
( ( ( aElement0 @ SV28 )
= $false )
| ( ( ~ ( aElement0 @ SV32 ) )
= $true )
| ( ( ~ ( aElement0 @ SV35 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(720,plain,
! [SV36: $i,SV57: $i] :
( ( ( ~ ( aElement0 @ SV57 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV57 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 ) )
= $true )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(721,plain,
! [SV50: $i] :
( ( ( aElement0 @ SV50 )
= $false )
| ( ( ( xb != SV50 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(722,plain,
! [SV51: $i] :
( ( ( aElement0 @ SV51 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV51 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(723,plain,
! [SV52: $i] :
( ( ( aElement0 @ SV52 )
= $false )
| ( ( ! [SY486: $i] :
( ~ ( aElement0 @ SY486 )
| ~ ( aReductOfIn0 @ SY486 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY486 @ xR @ SV52 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(724,plain,
! [SV73: $i] :
( ( ~ ( aElement0 @ SV73 )
| ( xb != SV73 )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(725,plain,
! [SV74: $i] :
( ( ~ ( aElement0 @ SV74 )
| ~ ( aReductOfIn0 @ SV74 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(726,plain,
! [SV38: $i,SV64: $i] :
( ( ( ~ ( aElement0 @ SV64 )
| ~ ( aReductOfIn0 @ SV64 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV64 @ xR @ SV38 ) )
= $true )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(727,plain,
! [SV53: $i] :
( ( ( aElement0 @ SV53 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV53 ) )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( aElement0 @ SY487 )
| ~ ( aReductOfIn0 @ SY487 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY487 @ xR @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(728,plain,
! [SV75: $i] :
( ( ~ ( aElement0 @ SV75 )
| ! [SY498: $i] :
( ~ ( aElement0 @ SY498 )
| ~ ( aReductOfIn0 @ SY498 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY498 @ xR @ SV75 ) )
| ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(729,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(730,plain,
! [SV54: $i] :
( ( ( aElement0 @ SV54 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV54 ) )
= $true )
| ( ( ( xc != SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(731,plain,
! [SV76: $i] :
( ( ~ ( aElement0 @ SV76 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV76 )
| ( xc != SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(732,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(733,plain,
! [SV55: $i] :
( ( ( aElement0 @ SV55 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ SV55 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV55 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(734,plain,
! [SV77: $i] :
( ( ~ ( aElement0 @ SV77 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV77 )
| ~ ( aReductOfIn0 @ SV77 @ xc @ xR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(735,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(736,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(737,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(738,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(739,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(740,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(741,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(742,plain,
! [SV56: $i] :
( ( ( aElement0 @ SV56 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV56 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV56 @ xR @ xc ) )
= $true )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK107_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(743,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(744,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(745,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(746,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(747,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(748,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(749,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(750,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(751,plain,
! [SV46: $i] :
( ( ( aReductOfIn0 @ SV46 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV46 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV46 @ xR @ xb ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(752,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(753,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(754,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(755,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(756,plain,
! [SV65: $i] :
( ( ( ~ ( aElement0 @ SV65 )
| ~ ( aReductOfIn0 @ SV65 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV65 @ xR @ xb ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(757,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(758,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(759,plain,
! [SV66: $i] :
( ( ( ~ ( aElement0 @ SV66 )
| ~ ( aReductOfIn0 @ SV66 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV66 @ xR @ xb ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(760,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(761,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(762,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(763,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(764,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(765,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(766,plain,
! [SV78: $i] :
( ( ( ~ ( aElement0 @ SV78 )
| ~ ( aReductOfIn0 @ SV78 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SV78 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK101_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(767,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(768,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(769,plain,
( ( ( aReductOfIn0 @ xc @ xa @ xR )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK100_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(770,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(771,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(772,plain,
! [SV23: $i,SV24: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(773,plain,
! [SV33: $i,SV8: $i,SV29: $i] :
( ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(774,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV41 ) )
= $true )
| ( ( ~ ( aElement0 @ SV47 ) )
= $true )
| ( ( ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(775,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV58 )
| ~ ( aElement0 @ SV67 )
| ( SV8 != SV58 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(776,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV59 )
| ~ ( aElement0 @ SV68 )
| ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(777,plain,
! [SV34: $i,SV8: $i,SV30: $i] :
( ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV34 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(778,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV42 ) )
= $true )
| ( ( ~ ( aElement0 @ SV48 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(779,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV60 )
| ~ ( aElement0 @ SV69 )
| ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(780,plain,
! [SV8: $i] :
( ( ! [SY417: $i,SY418: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY417 )
| ~ ( aElement0 @ SY418 )
| ( SV8 != SY417 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY418 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY417 @ xR )
| ( SY417
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY417 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY418 @ SY417 @ SV8 ) @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) @ SY418 @ xR )
| ( SY418
= ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY418 @ xR @ ( sK160_W3 @ SY418 @ SY417 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(781,plain,
! [SV8: $i] :
( ( ! [SY419: $i,SY420: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY419 )
| ~ ( aElement0 @ SY420 )
| ~ ( aReductOfIn0 @ SY419 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY420 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY419 @ xR )
| ( SY419
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY419 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY420 @ SY419 @ SV8 ) @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) @ SY420 @ xR )
| ( SY420
= ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY420 @ xR @ ( sK157_W3 @ SY420 @ SY419 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(782,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV43 ) )
= $true )
| ( ( ~ ( aElement0 @ SV49 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(783,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV61 )
| ~ ( aElement0 @ SV70 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
| ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(784,plain,
! [SV8: $i] :
( ( ! [SY427: $i,SY428: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY427 )
| ~ ( aElement0 @ SY428 )
| ! [SY429: $i] :
( ~ ( aElement0 @ SY429 )
| ~ ( aReductOfIn0 @ SY429 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY429 @ xR @ SY427 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY428 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY427 @ xR )
| ( SY427
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY427 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY428 @ SY427 @ SV8 ) @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) @ SY428 @ xR )
| ( SY428
= ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY428 @ xR @ ( sK148_W3 @ SY428 @ SY427 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(785,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(786,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV62 )
| ~ ( aElement0 @ SV71 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
| ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(787,plain,
! [SV8: $i] :
( ( ! [SY439: $i,SY440: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY439 )
| ~ ( aElement0 @ SY440 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY439 )
| ( SV8 != SY440 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY439 @ xR )
| ( SY439
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY439 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY440 @ SY439 @ SV8 ) @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) @ SY440 @ xR )
| ( SY440
= ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY440 @ xR @ ( sK136_W3 @ SY440 @ SY439 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(788,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(789,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV63 )
| ~ ( aElement0 @ SV72 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
| ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(790,plain,
! [SV8: $i] :
( ( ! [SY450: $i,SY451: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY450 )
| ~ ( aElement0 @ SY451 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY450 )
| ~ ( aReductOfIn0 @ SY451 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY450 @ xR )
| ( SY450
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY450 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY451 @ SY450 @ SV8 ) @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) @ SY451 @ xR )
| ( SY451
= ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY451 @ xR @ ( sK121_W3 @ SY451 @ SY450 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(791,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(792,plain,
! [SV44: $i,SV39: $i] :
( ( ( ! [SY483: $i] :
( ~ ( aElement0 @ SY483 )
| ~ ( aReductOfIn0 @ SY483 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY483 @ xR @ SV44 ) ) )
= $true )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(793,plain,
! [SV40: $i,SV45: $i] :
( ( ( ~ ( aReductOfIn0 @ SV45 @ SV40 @ xR ) )
= $true )
| ( ( iLess0 @ SV45 @ SV40 )
= $true )
| ( ( aElement0 @ SV40 )
= $false )
| ( ( aElement0 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(794,plain,
! [SV35: $i,SV28: $i,SV32: $i] :
( ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( ~ ( aElement0 @ SV35 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(795,plain,
! [SV36: $i,SV57: $i] :
( ( ( aElement0 @ SV57 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV57 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 ) )
= $true )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(796,plain,
! [SV50: $i] :
( ( ( xb = SV50 )
= $false )
| ( ( aElement0 @ SV50 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(797,plain,
! [SV51: $i] :
( ( ( aReductOfIn0 @ SV51 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV51 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(798,plain,
! [SV52: $i,SV79: $i] :
( ( ( ~ ( aElement0 @ SV79 )
| ~ ( aReductOfIn0 @ SV79 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 ) )
= $true )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(799,plain,
! [SV73: $i] :
( ( ( ~ ( aElement0 @ SV73 )
| ( xb != SV73 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(800,plain,
! [SV74: $i] :
( ( ( ~ ( aElement0 @ SV74 )
| ~ ( aReductOfIn0 @ SV74 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(801,plain,
! [SV38: $i,SV64: $i] :
( ( ( ~ ( aElement0 @ SV64 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV64 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV64 @ xR @ SV38 ) )
= $true )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(802,plain,
! [SV53: $i] :
( ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( ! [SY487: $i] :
( ~ ( aElement0 @ SY487 )
| ~ ( aReductOfIn0 @ SY487 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY487 @ xR @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(803,plain,
! [SV75: $i] :
( ( ( ~ ( aElement0 @ SV75 )
| ! [SY498: $i] :
( ~ ( aElement0 @ SY498 )
| ~ ( aReductOfIn0 @ SY498 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY498 @ xR @ SV75 ) ) )
= $true )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(804,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(805,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(806,plain,
! [SV54: $i] :
( ( ( sdtmndtasgtdt0 @ xb @ xR @ SV54 )
= $false )
| ( ( aElement0 @ SV54 )
= $false )
| ( ( ( xc != SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(807,plain,
! [SV76: $i] :
( ( ( ~ ( aElement0 @ SV76 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV76 ) )
= $true )
| ( ( ( xc != SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(808,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(809,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(810,plain,
! [SV55: $i] :
( ( ( sdtmndtasgtdt0 @ xb @ xR @ SV55 )
= $false )
| ( ( aElement0 @ SV55 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV55 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(811,plain,
! [SV77: $i] :
( ( ( ~ ( aElement0 @ SV77 )
| ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV77 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV77 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(812,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(813,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(814,plain,
( ( ( ~ ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(815,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(816,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(817,plain,
( ( ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(818,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(819,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(820,plain,
! [SV56: $i] :
( ( ( aReductOfIn0 @ SV56 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV56 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV56 @ xR @ xc ) )
= $true )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK107_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(821,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(822,plain,
( ( ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(823,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(824,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(825,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(826,plain,
( ( ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(827,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(828,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(829,plain,
! [SV46: $i] :
( ( ( sdtmndtplgtdt0 @ SV46 @ xR @ xb )
= $false )
| ( ( aElement0 @ SV46 )
= $false )
| ( ( aReductOfIn0 @ SV46 @ xa @ xR )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
= $true )
| ( sK105_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(830,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(831,plain,
( ( ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(832,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(833,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(834,plain,
! [SV65: $i] :
( ( ( ~ ( aElement0 @ SV65 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV65 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV65 @ xR @ xb ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(835,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(836,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(837,plain,
! [SV66: $i] :
( ( ( ~ ( aElement0 @ SV66 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV66 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV66 @ xR @ xb ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(838,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(839,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(840,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(841,plain,
( ( ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(842,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(843,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(844,plain,
! [SV78: $i] :
( ( ( ~ ( aElement0 @ SV78 )
| ~ ( aReductOfIn0 @ SV78 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV78 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK101_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(845,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(846,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(847,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(848,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(849,plain,
! [SV23: $i,SV24: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(850,plain,
! [SV29: $i,SV8: $i,SV33: $i] :
( ( ( aElement0 @ SV33 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(851,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV41 ) )
= $true )
| ( ( ~ ( aElement0 @ SV47 ) )
= $true )
| ( ( ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(852,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV58 )
| ~ ( aElement0 @ SV67 )
| ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(853,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV59 )
| ~ ( aElement0 @ SV68 )
| ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(854,plain,
! [SV30: $i,SV8: $i,SV34: $i] :
( ( ( aElement0 @ SV34 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(855,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV42 ) )
= $true )
| ( ( ~ ( aElement0 @ SV48 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(856,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV60 )
| ~ ( aElement0 @ SV69 )
| ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(857,plain,
! [SV80: $i,SV8: $i] :
( ( ! [SY500: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV80 )
| ~ ( aElement0 @ SY500 )
| ( SV8 != SV80 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY500 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SY500 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SY500 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SY500 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY500 @ xR @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) )
| ( SY500
= ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SY500 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SY500 @ SV80 @ SV8 ) @ SY500 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SY500 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) @ SY500 @ xR )
| ( SY500
= ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY500 @ xR @ ( sK160_W3 @ SY500 @ SV80 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(858,plain,
! [SV81: $i,SV8: $i] :
( ( ! [SY501: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV81 )
| ~ ( aElement0 @ SY501 )
| ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SY501 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SY501 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SY501 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SY501 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY501 @ xR @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) )
| ( SY501
= ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SY501 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SY501 @ SV81 @ SV8 ) @ SY501 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SY501 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) @ SY501 @ xR )
| ( SY501
= ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY501 @ xR @ ( sK157_W3 @ SY501 @ SV81 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(859,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV43 ) )
= $true )
| ( ( ~ ( aElement0 @ SV49 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(860,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV61 )
| ~ ( aElement0 @ SV70 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(861,plain,
! [SV82: $i,SV8: $i] :
( ( ! [SY502: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV82 )
| ~ ( aElement0 @ SY502 )
| ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) )
| ! [SY430: $i] :
( ~ ( aElement0 @ SY430 )
| ~ ( aReductOfIn0 @ SY430 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY430 @ xR @ SY502 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SY502 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SY502 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SY502 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY502 @ xR @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) )
| ( SY502
= ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SY502 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SY502 @ SV82 @ SV8 ) @ SY502 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SY502 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) @ SY502 @ xR )
| ( SY502
= ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY502 @ xR @ ( sK148_W3 @ SY502 @ SV82 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(862,plain,
! [SV8: $i] :
( ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(863,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV62 )
| ~ ( aElement0 @ SV71 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(864,plain,
! [SV83: $i,SV8: $i] :
( ( ! [SY505: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV83 )
| ~ ( aElement0 @ SY505 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
| ( SV8 != SY505 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SY505 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SY505 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SY505 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY505 @ xR @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) )
| ( SY505
= ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SY505 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SY505 @ SV83 @ SV8 ) @ SY505 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SY505 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) @ SY505 @ xR )
| ( SY505
= ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY505 @ xR @ ( sK136_W3 @ SY505 @ SV83 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(865,plain,
! [SV8: $i] :
( ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(866,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV63 )
| ~ ( aElement0 @ SV72 )
| ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(867,plain,
! [SV84: $i,SV8: $i] :
( ( ! [SY506: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV84 )
| ~ ( aElement0 @ SY506 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
| ~ ( aReductOfIn0 @ SY506 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SY506 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SY506 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SY506 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY506 @ xR @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) )
| ( SY506
= ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SY506 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SY506 @ SV84 @ SV8 ) @ SY506 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SY506 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) @ SY506 @ xR )
| ( SY506
= ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY506 @ xR @ ( sK121_W3 @ SY506 @ SV84 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(868,plain,
! [SV8: $i] :
( ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) )
| ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(869,plain,
! [SV44: $i,SV39: $i,SV85: $i] :
( ( ( ~ ( aElement0 @ SV85 )
| ~ ( aReductOfIn0 @ SV85 @ SV39 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV85 @ xR @ SV44 ) )
= $true )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(870,plain,
! [SV40: $i,SV45: $i] :
( ( ( aReductOfIn0 @ SV45 @ SV40 @ xR )
= $false )
| ( ( iLess0 @ SV45 @ SV40 )
= $true )
| ( ( aElement0 @ SV40 )
= $false )
| ( ( aElement0 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(871,plain,
! [SV32: $i,SV28: $i,SV35: $i] :
( ( ( aElement0 @ SV35 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV32 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(872,plain,
! [SV36: $i,SV57: $i] :
( ( ( aReductOfIn0 @ SV57 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV57 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 ) )
= $true )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(873,plain,
! [SV50: $i] :
( ( ( sdtmndtasgtdt0 @ xc @ xR @ SV50 )
= $false )
| ( ( aElement0 @ SV50 )
= $false )
| ( ( xb = SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(874,plain,
! [SV51: $i] :
( ( ( sdtmndtasgtdt0 @ xc @ xR @ SV51 )
= $false )
| ( ( aElement0 @ SV51 )
= $false )
| ( ( aReductOfIn0 @ SV51 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(875,plain,
! [SV52: $i,SV79: $i] :
( ( ( ~ ( aElement0 @ SV79 )
| ~ ( aReductOfIn0 @ SV79 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 ) )
= $true )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(876,plain,
! [SV73: $i] :
( ( ( ~ ( aElement0 @ SV73 ) )
= $true )
| ( ( ( xb != SV73 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(877,plain,
! [SV74: $i] :
( ( ( ~ ( aElement0 @ SV74 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV74 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(878,plain,
! [SV38: $i,SV64: $i] :
( ( ( aElement0 @ SV64 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV64 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV64 @ xR @ SV38 ) )
= $true )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(879,plain,
! [SV53: $i,SV86: $i] :
( ( ( ~ ( aElement0 @ SV86 )
| ~ ( aReductOfIn0 @ SV86 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SV86 @ xR @ SV53 ) )
= $true )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(880,plain,
! [SV75: $i] :
( ( ( ~ ( aElement0 @ SV75 ) )
= $true )
| ( ( ! [SY498: $i] :
( ~ ( aElement0 @ SY498 )
| ~ ( aReductOfIn0 @ SY498 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY498 @ xR @ SV75 ) ) )
= $true )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(881,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(882,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(883,plain,
! [SV54: $i] :
( ( ( xc = SV54 )
= $false )
| ( ( aElement0 @ SV54 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(884,plain,
! [SV76: $i] :
( ( ( ~ ( aElement0 @ SV76 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV76 ) )
= $true )
| ( ( ( xc != SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(885,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ( xc != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(886,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(887,plain,
! [SV55: $i] :
( ( ( aReductOfIn0 @ SV55 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV55 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(888,plain,
! [SV77: $i] :
( ( ( ~ ( aElement0 @ SV77 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV77 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV77 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(889,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aElement0 @ SX1 )
| ~ ( aReductOfIn0 @ SX1 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SX1 @ xR @ SX0 ) )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(890,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(891,plain,
( ( ( ~ ( aElement0 @ sK89_W0 )
| ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(892,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(893,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(894,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(895,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(896,plain,
! [SV56: $i] :
( ( ( sdtmndtplgtdt0 @ SV56 @ xR @ xc )
= $false )
| ( ( aElement0 @ SV56 )
= $false )
| ( ( aReductOfIn0 @ SV56 @ xa @ xR )
= $false )
| ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
= $false )
| ( sK107_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(897,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(898,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(899,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(900,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(901,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(902,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(903,plain,
! [SV46: $i] :
( ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
= $false )
| ( ( aReductOfIn0 @ SV46 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV46 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV46 @ xR @ xb )
= $false )
| ( sK105_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(904,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(905,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(906,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(907,plain,
! [SV65: $i] :
( ( ( aElement0 @ SV65 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV65 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV65 @ xR @ xb ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(908,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(909,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(910,plain,
! [SV66: $i] :
( ( ( aElement0 @ SV66 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV66 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV66 @ xR @ xb ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(911,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(912,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(913,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(914,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(915,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(916,plain,
! [SV78: $i] :
( ( ( ~ ( aElement0 @ SV78 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV78 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV78 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK101_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(917,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(918,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(919,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(920,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(921,plain,
! [SV23: $i,SV24: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(922,plain,
! [SV33: $i,SV29: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(923,plain,
! [SV47: $i,SV41: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV41 ) )
= $true )
| ( ( ~ ( aElement0 @ SV47 ) )
= $true )
| ( ( ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(924,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV58 )
| ~ ( aElement0 @ SV67 ) )
= $true )
| ( ( ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(925,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV59 )
| ~ ( aElement0 @ SV68 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(926,plain,
! [SV34: $i,SV30: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(927,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV42 ) )
= $true )
| ( ( ~ ( aElement0 @ SV48 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(928,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV60 )
| ~ ( aElement0 @ SV69 ) )
= $true )
| ( ( ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(929,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV80 )
| ~ ( aElement0 @ SV87 )
| ( SV8 != SV80 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(930,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV81 )
| ~ ( aElement0 @ SV88 )
| ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(931,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV43 ) )
= $true )
| ( ( ~ ( aElement0 @ SV49 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(932,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV61 )
| ~ ( aElement0 @ SV70 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(933,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV82 )
| ~ ( aElement0 @ SV89 )
| ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) )
| ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(934,plain,
! [SV8: $i] :
( ( ~ ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(935,plain,
! [SV8: $i] :
( ( ~ ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(936,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV62 )
| ~ ( aElement0 @ SV71 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(937,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV83 )
| ~ ( aElement0 @ SV90 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
| ( SV8 != SV90 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(938,plain,
! [SV8: $i] :
( ( ~ ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(939,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(940,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV63 )
| ~ ( aElement0 @ SV72 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(941,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV84 )
| ~ ( aElement0 @ SV91 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
| ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(942,plain,
! [SV8: $i] :
( ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(943,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(944,plain,
! [SV44: $i,SV39: $i,SV85: $i] :
( ( ( ~ ( aElement0 @ SV85 )
| ~ ( aReductOfIn0 @ SV85 @ SV39 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV85 @ xR @ SV44 ) )
= $true )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(945,plain,
! [SV35: $i,SV28: $i,SV32: $i] :
( ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV35 @ SV28 @ xR ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(946,plain,
! [SV36: $i,SV57: $i] :
( ( ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 )
= $false )
| ( ( aElement0 @ SV57 )
= $false )
| ( ( aReductOfIn0 @ SV57 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(947,plain,
! [SV52: $i,SV79: $i] :
( ( ( ~ ( aElement0 @ SV79 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV79 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 ) )
= $true )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(948,plain,
! [SV73: $i] :
( ( ( aElement0 @ SV73 )
= $false )
| ( ( ( xb != SV73 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(949,plain,
! [SV74: $i] :
( ( ( aElement0 @ SV74 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV74 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(950,plain,
! [SV38: $i,SV64: $i] :
( ( ( aReductOfIn0 @ SV64 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV64 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV64 @ xR @ SV38 ) )
= $true )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(951,plain,
! [SV53: $i,SV86: $i] :
( ( ( ~ ( aElement0 @ SV86 )
| ~ ( aReductOfIn0 @ SV86 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV86 @ xR @ SV53 ) )
= $true )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(952,plain,
! [SV75: $i] :
( ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY498: $i] :
( ~ ( aElement0 @ SY498 )
| ~ ( aReductOfIn0 @ SY498 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY498 @ xR @ SV75 ) ) )
= $true )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(953,plain,
! [SV92: $i] :
( ( ~ ( aElement0 @ SV92 )
| ( xb != SV92 )
| ! [SY509: $i] :
( ~ ( aElement0 @ SY509 )
| ~ ( aReductOfIn0 @ SY509 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY509 @ xR @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(954,plain,
! [SV93: $i] :
( ( ~ ( aElement0 @ SV93 )
| ~ ( aReductOfIn0 @ SV93 @ xb @ xR )
| ! [SY510: $i] :
( ~ ( aElement0 @ SY510 )
| ~ ( aReductOfIn0 @ SY510 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY510 @ xR @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(955,plain,
! [SV76: $i] :
( ( ( aElement0 @ SV76 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV76 ) )
= $true )
| ( ( ( xc != SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(956,plain,
! [SV94: $i] :
( ( ~ ( aElement0 @ SV94 )
| ! [SY511: $i] :
( ~ ( aElement0 @ SY511 )
| ~ ( aReductOfIn0 @ SY511 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY511 @ xR @ SV94 ) )
| ( xc != SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(957,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(958,plain,
! [SV77: $i] :
( ( ( aElement0 @ SV77 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xb @ xR @ SV77 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV77 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(959,plain,
! [SV95: $i] :
( ( ~ ( aElement0 @ SV95 )
| ! [SY512: $i] :
( ~ ( aElement0 @ SY512 )
| ~ ( aReductOfIn0 @ SY512 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY512 @ xR @ SV95 ) )
| ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(960,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) )
| ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(961,plain,
( ( ( ~ ( aElement0 @ sK89_W0 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(962,plain,
( ( ( ~ ( aReductOfIn0 @ sK89_W0 @ xa @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(963,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(964,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(965,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(966,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(967,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(968,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(969,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(970,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(971,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(972,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(973,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(974,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(975,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(976,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(977,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(978,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(979,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[901]) ).
thf(980,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[901]) ).
thf(981,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(982,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(983,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(984,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(985,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(986,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(987,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(988,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(989,plain,
! [SV65: $i] :
( ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV65 @ xR @ xb ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(990,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(991,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(992,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(993,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(994,plain,
! [SV66: $i] :
( ( ( aReductOfIn0 @ SV66 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV66 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV66 @ xR @ xb ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(995,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(996,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(997,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(998,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(999,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(1000,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(1001,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(1002,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(1003,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(1004,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(1005,plain,
! [SV78: $i] :
( ( ( aElement0 @ SV78 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV78 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV78 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK101_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1006,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(1007,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(1008,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(1009,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(1010,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(1011,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(1012,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[920]) ).
thf(1013,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[920]) ).
thf(1014,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1015,plain,
! [SV29: $i,SV33: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1016,plain,
! [SV47: $i,SV8: $i,SV41: $i] :
( ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV47 ) )
= $true )
| ( ( ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(1017,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV58 ) )
= $true )
| ( ( ~ ( aElement0 @ SV67 ) )
= $true )
| ( ( ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(1018,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV59 ) )
= $true )
| ( ( ~ ( aElement0 @ SV68 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(1019,plain,
! [SV30: $i,SV34: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(1020,plain,
! [SV48: $i,SV8: $i,SV42: $i] :
( ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV48 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(1021,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV60 ) )
= $true )
| ( ( ~ ( aElement0 @ SV69 ) )
= $true )
| ( ( ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1022,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV80 )
| ~ ( aElement0 @ SV87 )
| ( SV8 != SV80 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(1023,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV81 )
| ~ ( aElement0 @ SV88 )
| ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(1024,plain,
! [SV49: $i,SV8: $i,SV43: $i] :
( ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV49 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(1025,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV61 ) )
= $true )
| ( ( ~ ( aElement0 @ SV70 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(1026,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV82 )
| ~ ( aElement0 @ SV89 )
| ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) )
| ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(1027,plain,
! [SV8: $i] :
( ( ! [SY431: $i,SY432: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY431 )
| ~ ( aElement0 @ SY432 )
| ( SV8 != SY431 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY432 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY431 @ xR )
| ( SY431
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY431 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY432 @ SY431 @ SV8 ) @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) @ SY432 @ xR )
| ( SY432
= ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY432 @ xR @ ( sK145_W3 @ SY432 @ SY431 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(1028,plain,
! [SV8: $i] :
( ( ! [SY434: $i,SY435: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY434 )
| ~ ( aElement0 @ SY435 )
| ~ ( aReductOfIn0 @ SY434 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY435 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY434 @ xR )
| ( SY434
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY434 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY435 @ SY434 @ SV8 ) @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) @ SY435 @ xR )
| ( SY435
= ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY435 @ xR @ ( sK142_W3 @ SY435 @ SY434 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1029,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV62 ) )
= $true )
| ( ( ~ ( aElement0 @ SV71 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1030,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV83 )
| ~ ( aElement0 @ SV90 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
| ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1031,plain,
! [SV8: $i] :
( ( ! [SY441: $i,SY442: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY441 )
| ~ ( aElement0 @ SY442 )
| ! [SY443: $i] :
( ~ ( aElement0 @ SY443 )
| ~ ( aReductOfIn0 @ SY443 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY443 @ xR @ SY441 ) )
| ( SV8 != SY442 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY441 @ xR )
| ( SY441
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY441 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY442 @ SY441 @ SV8 ) @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) @ SY442 @ xR )
| ( SY442
= ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY442 @ xR @ ( sK133_W3 @ SY442 @ SY441 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(1032,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(1033,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV63 ) )
= $true )
| ( ( ~ ( aElement0 @ SV72 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(1034,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV84 )
| ~ ( aElement0 @ SV91 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
| ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1035,plain,
! [SV8: $i] :
( ( ! [SY452: $i,SY453: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY452 )
| ~ ( aElement0 @ SY453 )
| ! [SY454: $i] :
( ~ ( aElement0 @ SY454 )
| ~ ( aReductOfIn0 @ SY454 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY454 @ xR @ SY452 ) )
| ~ ( aReductOfIn0 @ SY453 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY452 @ xR )
| ( SY452
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY452 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY453 @ SY452 @ SV8 ) @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) @ SY453 @ xR )
| ( SY453
= ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY453 @ xR @ ( sK118_W3 @ SY453 @ SY452 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(1036,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(1037,plain,
! [SV44: $i,SV39: $i,SV85: $i] :
( ( ( ~ ( aElement0 @ SV85 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV85 @ SV39 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV85 @ xR @ SV44 ) )
= $true )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1038,plain,
! [SV32: $i,SV28: $i,SV35: $i] :
( ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1039,plain,
! [SV57: $i,SV36: $i] :
( ( ( sdtmndtasgtdt0 @ xc @ xR @ SV36 )
= $false )
| ( ( aElement0 @ SV36 )
= $false )
| ( ( aReductOfIn0 @ SV57 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV57 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV57 @ xR @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1040,plain,
! [SV52: $i,SV79: $i] :
( ( ( aElement0 @ SV79 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV79 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 ) )
= $true )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1041,plain,
! [SV73: $i] :
( ( ( xb = SV73 )
= $false )
| ( ( aElement0 @ SV73 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1042,plain,
! [SV74: $i] :
( ( ( aReductOfIn0 @ SV74 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV74 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1043,plain,
! [SV38: $i,SV64: $i] :
( ( ( sdtmndtplgtdt0 @ SV64 @ xR @ SV38 )
= $false )
| ( ( aElement0 @ SV64 )
= $false )
| ( ( aReductOfIn0 @ SV64 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV38 )
= $false )
| ( ( sdtmndtasgtdt0 @ xb @ xR @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1044,plain,
! [SV53: $i,SV86: $i] :
( ( ( ~ ( aElement0 @ SV86 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV86 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV86 @ xR @ SV53 ) )
= $true )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1045,plain,
! [SV75: $i,SV96: $i] :
( ( ( ~ ( aElement0 @ SV96 )
| ~ ( aReductOfIn0 @ SV96 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1046,plain,
! [SV92: $i] :
( ( ( ~ ( aElement0 @ SV92 )
| ( xb != SV92 ) )
= $true )
| ( ( ! [SY509: $i] :
( ~ ( aElement0 @ SY509 )
| ~ ( aReductOfIn0 @ SY509 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY509 @ xR @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1047,plain,
! [SV93: $i] :
( ( ( ~ ( aElement0 @ SV93 )
| ~ ( aReductOfIn0 @ SV93 @ xb @ xR ) )
= $true )
| ( ( ! [SY510: $i] :
( ~ ( aElement0 @ SY510 )
| ~ ( aReductOfIn0 @ SY510 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY510 @ xR @ SV93 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1048,plain,
! [SV76: $i] :
( ( ( sdtmndtplgtdt0 @ xb @ xR @ SV76 )
= $false )
| ( ( aElement0 @ SV76 )
= $false )
| ( ( ( xc != SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1049,plain,
! [SV94: $i] :
( ( ( ~ ( aElement0 @ SV94 )
| ! [SY511: $i] :
( ~ ( aElement0 @ SY511 )
| ~ ( aReductOfIn0 @ SY511 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY511 @ xR @ SV94 ) ) )
= $true )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1050,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1051,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1052,plain,
! [SV77: $i] :
( ( ( sdtmndtplgtdt0 @ xb @ xR @ SV77 )
= $false )
| ( ( aElement0 @ SV77 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV77 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1053,plain,
! [SV95: $i] :
( ( ( ~ ( aElement0 @ SV95 )
| ! [SY512: $i] :
( ~ ( aElement0 @ SY512 )
| ~ ( aReductOfIn0 @ SY512 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY512 @ xR @ SV95 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(1054,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1055,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1056,plain,
( ( ( aElement0 @ sK89_W0 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1057,plain,
( ( ( aReductOfIn0 @ sK89_W0 @ xa @ xR )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1058,plain,
( ( ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
| ( sK89_W0 = xb ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1059,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
| ( sK89_W0 = xb ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1060,plain,
( ( ( ~ ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1061,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1062,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1063,plain,
( ( ( sdtmndtasgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1064,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1065,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1066,plain,
( ( ( ~ ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1067,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1068,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1069,plain,
( ( ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1070,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1071,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1072,plain,
( ( ( ~ ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1073,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1074,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1075,plain,
( ( ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1076,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1077,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1078,plain,
( ( ( ~ ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1079,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1080,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1081,plain,
( ( ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1082,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1083,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1084,plain,
! [SV65: $i] :
( ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1085,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1086,plain,
( ( ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1087,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1088,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1089,plain,
! [SV66: $i] :
( ( ( sdtmndtplgtdt0 @ SV66 @ xR @ xb )
= $false )
| ( ( aElement0 @ SV66 )
= $false )
| ( ( aReductOfIn0 @ SV66 @ xa @ xR )
= $false )
| ( ( ~ ( aReductOfIn0 @ xc @ xa @ xR ) )
= $true )
| ( sK103_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1090,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1091,plain,
( ( ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1092,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1093,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1094,plain,
( ( ( ~ ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1095,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1096,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1097,plain,
( ( ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1098,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1099,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1100,plain,
! [SV78: $i] :
( ( ( aReductOfIn0 @ SV78 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV78 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV78 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK101_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1101,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1102,plain,
( ( ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1103,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1104,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1105,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1106,plain,
( ( ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1107,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1108,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1109,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1110,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1111,plain,
! [SV29: $i,SV33: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1112,plain,
! [SV41: $i,SV8: $i,SV47: $i] :
( ( ( aElement0 @ SV47 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( ! [SY479: $i] :
( ~ ( aElement0 @ SY479 )
| ~ ( aReductOfIn0 @ SY479 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY479 @ xR @ SV41 ) ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1113,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV58 ) )
= $true )
| ( ( ~ ( aElement0 @ SV67 ) )
= $true )
| ( ( ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1114,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV59 ) )
= $true )
| ( ( ~ ( aElement0 @ SV68 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1115,plain,
! [SV30: $i,SV34: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1116,plain,
! [SV42: $i,SV8: $i,SV48: $i] :
( ( ( aElement0 @ SV48 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1117,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV60 ) )
= $true )
| ( ( ~ ( aElement0 @ SV69 ) )
= $true )
| ( ( ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1118,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV80 )
| ~ ( aElement0 @ SV87 )
| ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1119,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV81 )
| ~ ( aElement0 @ SV88 )
| ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1120,plain,
! [SV43: $i,SV8: $i,SV49: $i] :
( ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 ) )
= $true )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1121,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV61 ) )
= $true )
| ( ( ~ ( aElement0 @ SV70 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1122,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV82 )
| ~ ( aElement0 @ SV89 )
| ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1123,plain,
! [SV97: $i,SV8: $i] :
( ( ! [SY513: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV97 )
| ~ ( aElement0 @ SY513 )
| ( SV8 != SV97 )
| ! [SY433: $i] :
( ~ ( aElement0 @ SY433 )
| ~ ( aReductOfIn0 @ SY433 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY433 @ xR @ SY513 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SY513 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SY513 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SY513 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY513 @ xR @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) )
| ( SY513
= ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SY513 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SY513 @ SV97 @ SV8 ) @ SY513 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SY513 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) @ SY513 @ xR )
| ( SY513
= ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY513 @ xR @ ( sK145_W3 @ SY513 @ SV97 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1124,plain,
! [SV98: $i,SV8: $i] :
( ( ! [SY515: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV98 )
| ~ ( aElement0 @ SY515 )
| ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR )
| ! [SY436: $i] :
( ~ ( aElement0 @ SY436 )
| ~ ( aReductOfIn0 @ SY436 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY436 @ xR @ SY515 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SY515 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SY515 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SY515 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY515 @ xR @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) )
| ( SY515
= ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SY515 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SY515 @ SV98 @ SV8 ) @ SY515 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SY515 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) @ SY515 @ xR )
| ( SY515
= ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY515 @ xR @ ( sK142_W3 @ SY515 @ SV98 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1125,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV62 ) )
= $true )
| ( ( ~ ( aElement0 @ SV71 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1126,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV83 )
| ~ ( aElement0 @ SV90 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1127,plain,
! [SV99: $i,SV8: $i] :
( ( ! [SY517: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV99 )
| ~ ( aElement0 @ SY517 )
| ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) )
| ( SV8 != SY517 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SY517 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SY517 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SY517 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY517 @ xR @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) )
| ( SY517
= ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SY517 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SY517 @ SV99 @ SV8 ) @ SY517 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SY517 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) @ SY517 @ xR )
| ( SY517
= ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY517 @ xR @ ( sK133_W3 @ SY517 @ SV99 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1128,plain,
! [SV8: $i] :
( ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) )
| ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1129,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV63 ) )
= $true )
| ( ( ~ ( aElement0 @ SV72 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1033]) ).
thf(1130,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV84 )
| ~ ( aElement0 @ SV91 )
| ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1131,plain,
! [SV100: $i,SV8: $i] :
( ( ! [SY519: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV100 )
| ~ ( aElement0 @ SY519 )
| ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) )
| ~ ( aReductOfIn0 @ SY519 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SY519 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SY519 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SY519 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY519 @ xR @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) )
| ( SY519
= ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SY519 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SY519 @ SV100 @ SV8 ) @ SY519 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SY519 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) @ SY519 @ xR )
| ( SY519
= ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY519 @ xR @ ( sK118_W3 @ SY519 @ SV100 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1132,plain,
! [SV8: $i] :
( ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) )
| ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1133,plain,
! [SV44: $i,SV39: $i,SV85: $i] :
( ( ( aElement0 @ SV85 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV85 @ SV39 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV85 @ xR @ SV44 ) )
= $true )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1134,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1135,plain,
! [SV52: $i,SV79: $i] :
( ( ( aReductOfIn0 @ SV79 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV79 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 ) )
= $true )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1136,plain,
! [SV73: $i] :
( ( ( sdtmndtplgtdt0 @ xc @ xR @ SV73 )
= $false )
| ( ( aElement0 @ SV73 )
= $false )
| ( ( xb = SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1137,plain,
! [SV74: $i] :
( ( ( sdtmndtplgtdt0 @ xc @ xR @ SV74 )
= $false )
| ( ( aElement0 @ SV74 )
= $false )
| ( ( aReductOfIn0 @ SV74 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1138,plain,
! [SV53: $i,SV86: $i] :
( ( ( aElement0 @ SV86 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV86 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV86 @ xR @ SV53 ) )
= $true )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1139,plain,
! [SV75: $i,SV96: $i] :
( ( ( ~ ( aElement0 @ SV96 )
| ~ ( aReductOfIn0 @ SV96 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1140,plain,
! [SV92: $i] :
( ( ( ~ ( aElement0 @ SV92 ) )
= $true )
| ( ( ( xb != SV92 ) )
= $true )
| ( ( ! [SY509: $i] :
( ~ ( aElement0 @ SY509 )
| ~ ( aReductOfIn0 @ SY509 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY509 @ xR @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1141,plain,
! [SV93: $i] :
( ( ( ~ ( aElement0 @ SV93 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV93 @ xb @ xR ) )
= $true )
| ( ( ! [SY510: $i] :
( ~ ( aElement0 @ SY510 )
| ~ ( aReductOfIn0 @ SY510 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY510 @ xR @ SV93 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1142,plain,
! [SV76: $i] :
( ( ( xc = SV76 )
= $false )
| ( ( aElement0 @ SV76 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1143,plain,
! [SV94: $i] :
( ( ( ~ ( aElement0 @ SV94 ) )
= $true )
| ( ( ! [SY511: $i] :
( ~ ( aElement0 @ SY511 )
| ~ ( aReductOfIn0 @ SY511 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY511 @ xR @ SV94 ) ) )
= $true )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1144,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ( xc != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1145,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ( xc != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1146,plain,
! [SV77: $i] :
( ( ( aReductOfIn0 @ SV77 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV77 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1147,plain,
! [SV95: $i] :
( ( ( ~ ( aElement0 @ SV95 ) )
= $true )
| ( ( ! [SY512: $i] :
( ~ ( aElement0 @ SY512 )
| ~ ( aReductOfIn0 @ SY512 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY512 @ xR @ SV95 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1148,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ( xb != SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1149,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xb @ xR )
| ~ ( aReductOfIn0 @ SX0 @ xc @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1150,plain,
( ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ xb )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1151,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK89_W0 @ xR ) )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1152,plain,
( ( ( ~ ( aElement0 @ sK90_SY306 )
| ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1153,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1154,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1155,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1156,plain,
( ( ( ~ ( aElement0 @ sK78_W0 )
| ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1157,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1158,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1159,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1160,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1161,plain,
( ( ( ~ ( aElement0 @ sK67_W0 )
| ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1162,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1163,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1164,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1165,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1166,plain,
( ( ( ~ ( aElement0 @ sK56_W0 )
| ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1167,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1168,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1169,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1170,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1171,plain,
! [SV65: $i,SV101: $i] :
( ( ( ~ ( aElement0 @ SV101 )
| ~ ( aReductOfIn0 @ SV101 @ xa @ xR )
| ~ ( sdtmndtplgtdt0 @ SV101 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( sK104_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1172,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1173,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1174,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1175,plain,
! [SV66: $i] :
( ( ( aReductOfIn0 @ xc @ xa @ xR )
= $false )
| ( ( aReductOfIn0 @ SV66 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV66 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV66 @ xR @ xb )
= $false )
| ( sK103_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1176,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1177,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1178,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1179,plain,
( ( ( ~ ( aElement0 @ sK23_W0 )
| ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1180,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1181,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1182,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1183,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1184,plain,
! [SV78: $i] :
( ( ( sdtmndtplgtdt0 @ SV78 @ xR @ xc )
= $false )
| ( ( aElement0 @ SV78 )
= $false )
| ( ( aReductOfIn0 @ SV78 @ xa @ xR )
= $false )
| ( ( aReductOfIn0 @ xb @ xa @ xR )
= $false )
| ( sK101_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1185,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1186,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1187,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1188,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1189,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1190,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1191,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1192,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( sdtmndtasgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1193,plain,
! [SV29: $i,SV33: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1194,plain,
! [SV47: $i,SV41: $i,SV8: $i,SV102: $i] :
( ( ( ~ ( aElement0 @ SV102 )
| ~ ( aReductOfIn0 @ SV102 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 ) )
= $true )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1195,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV58 ) )
= $true )
| ( ( ~ ( aElement0 @ SV67 ) )
= $true )
| ( ( ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1196,plain,
! [SV68: $i,SV59: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV59 ) )
= $true )
| ( ( ~ ( aElement0 @ SV68 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1197,plain,
! [SV30: $i,SV34: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1198,plain,
! [SV48: $i,SV42: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1199,plain,
! [SV69: $i,SV60: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV60 ) )
= $true )
| ( ( ~ ( aElement0 @ SV69 ) )
= $true )
| ( ( ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1200,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV80 )
| ~ ( aElement0 @ SV87 ) )
= $true )
| ( ( ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1201,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV81 )
| ~ ( aElement0 @ SV88 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1202,plain,
! [SV49: $i,SV43: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( ! [SY485: $i] :
( ~ ( aElement0 @ SY485 )
| ~ ( aReductOfIn0 @ SY485 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY485 @ xR @ SV49 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1203,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV61 ) )
= $true )
| ( ( ~ ( aElement0 @ SV70 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1204,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV82 )
| ~ ( aElement0 @ SV89 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1205,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV97 )
| ~ ( aElement0 @ SV103 )
| ( SV8 != SV97 )
| ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1206,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV98 )
| ~ ( aElement0 @ SV104 )
| ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR )
| ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1207,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV62 ) )
= $true )
| ( ( ~ ( aElement0 @ SV71 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1208,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV83 )
| ~ ( aElement0 @ SV90 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1209,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV99 )
| ~ ( aElement0 @ SV105 )
| ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) )
| ( SV8 != SV105 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1210,plain,
! [SV8: $i] :
( ( ~ ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1211,plain,
! [SV8: $i] :
( ( ~ ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1212,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV63 ) )
= $true )
| ( ( ~ ( aElement0 @ SV72 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1213,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV84 )
| ~ ( aElement0 @ SV91 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1214,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV100 )
| ~ ( aElement0 @ SV106 )
| ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) )
| ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1215,plain,
! [SV8: $i] :
( ( ~ ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1216,plain,
! [SV8: $i] :
( ( ~ ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1217,plain,
! [SV44: $i,SV39: $i,SV85: $i] :
( ( ( aReductOfIn0 @ SV85 @ SV39 @ xR )
= $false )
| ( ( aElement0 @ SV85 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV85 @ xR @ SV44 ) )
= $true )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1218,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1219,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1220,plain,
! [SV52: $i,SV79: $i] :
( ( ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 )
= $false )
| ( ( aElement0 @ SV79 )
= $false )
| ( ( aReductOfIn0 @ SV79 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ xc @ xR @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1221,plain,
! [SV53: $i,SV86: $i] :
( ( ( aReductOfIn0 @ SV86 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV86 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV86 @ xR @ SV53 ) )
= $true )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1222,plain,
! [SV75: $i,SV96: $i] :
( ( ( ~ ( aElement0 @ SV96 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV96 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1223,plain,
! [SV92: $i] :
( ( ( aElement0 @ SV92 )
= $false )
| ( ( ( xb != SV92 ) )
= $true )
| ( ( ! [SY509: $i] :
( ~ ( aElement0 @ SY509 )
| ~ ( aReductOfIn0 @ SY509 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY509 @ xR @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1224,plain,
! [SV93: $i] :
( ( ( aElement0 @ SV93 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV93 @ xb @ xR ) )
= $true )
| ( ( ! [SY510: $i] :
( ~ ( aElement0 @ SY510 )
| ~ ( aReductOfIn0 @ SY510 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY510 @ xR @ SV93 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1225,plain,
! [SV94: $i] :
( ( ( aElement0 @ SV94 )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( aElement0 @ SY511 )
| ~ ( aReductOfIn0 @ SY511 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY511 @ xR @ SV94 ) ) )
= $true )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1226,plain,
! [SV107: $i] :
( ( ~ ( aElement0 @ SV107 )
| ( xb != SV107 )
| ( xc != SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1227,plain,
! [SV108: $i] :
( ( ~ ( aElement0 @ SV108 )
| ~ ( aReductOfIn0 @ SV108 @ xb @ xR )
| ( xc != SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1228,plain,
! [SV95: $i] :
( ( ( aElement0 @ SV95 )
= $false )
| ( ( ! [SY512: $i] :
( ~ ( aElement0 @ SY512 )
| ~ ( aReductOfIn0 @ SY512 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SY512 @ xR @ SV95 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1229,plain,
! [SV109: $i] :
( ( ~ ( aElement0 @ SV109 )
| ( xb != SV109 )
| ~ ( aReductOfIn0 @ SV109 @ xc @ xR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1230,plain,
! [SV110: $i] :
( ( ~ ( aElement0 @ SV110 )
| ~ ( aReductOfIn0 @ SV110 @ xb @ xR )
| ~ ( aReductOfIn0 @ SV110 @ xc @ xR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1231,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1232,plain,
( ( ( ~ ( aElement0 @ sK90_SY306 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1233,plain,
( ( ( ~ ( aReductOfIn0 @ sK90_SY306 @ xa @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1234,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1235,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1236,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1237,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1238,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1239,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1240,plain,
( ( ( ~ ( aElement0 @ sK78_W0 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1241,plain,
( ( ( ~ ( aReductOfIn0 @ sK78_W0 @ xa @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1242,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1157]) ).
thf(1243,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1157]) ).
thf(1244,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1158]) ).
thf(1245,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1158]) ).
thf(1246,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1247,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1248,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1160]) ).
thf(1249,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1160]) ).
thf(1250,plain,
( ( ( ~ ( aElement0 @ sK67_W0 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1161]) ).
thf(1251,plain,
( ( ( ~ ( aReductOfIn0 @ sK67_W0 @ xa @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1161]) ).
thf(1252,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1253,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1254,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1255,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1256,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1257,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1258,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1259,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1260,plain,
( ( ( ~ ( aElement0 @ sK56_W0 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1261,plain,
( ( ( ~ ( aReductOfIn0 @ sK56_W0 @ xa @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1262,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1263,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1264,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1265,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1266,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1169]) ).
thf(1267,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1169]) ).
thf(1268,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1269,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1270,plain,
! [SV65: $i,SV101: $i] :
( ( ( ~ ( aElement0 @ SV101 )
| ~ ( aReductOfIn0 @ SV101 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV101 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( sK104_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1271,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1172]) ).
thf(1272,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1172]) ).
thf(1273,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1274,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1275,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1276,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1277,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1278,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1279,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1280,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1281,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1282,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1283,plain,
( ( ( ~ ( aElement0 @ sK23_W0 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1179]) ).
thf(1284,plain,
( ( ( ~ ( aReductOfIn0 @ sK23_W0 @ xa @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1179]) ).
thf(1285,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1286,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1287,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1288,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1289,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1290,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1291,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1292,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1293,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1185]) ).
thf(1294,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1185]) ).
thf(1295,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1296,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1297,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1298,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1299,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1300,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1301,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1189]) ).
thf(1302,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1189]) ).
thf(1303,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1304,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1305,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1306,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1307,plain,
! [SV47: $i,SV41: $i,SV8: $i,SV102: $i] :
( ( ( ~ ( aElement0 @ SV102 )
| ~ ( aReductOfIn0 @ SV102 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 ) )
= $true )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1308,plain,
! [SV67: $i,SV8: $i,SV58: $i] :
( ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV67 ) )
= $true )
| ( ( ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1309,plain,
! [SV68: $i,SV8: $i,SV59: $i] :
( ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV68 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1310,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1311,plain,
! [SV42: $i,SV48: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1312,plain,
! [SV69: $i,SV8: $i,SV60: $i] :
( ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV69 ) )
= $true )
| ( ( ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1313,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV80 ) )
= $true )
| ( ( ~ ( aElement0 @ SV87 ) )
= $true )
| ( ( ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1314,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV81 ) )
= $true )
| ( ( ~ ( aElement0 @ SV88 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1315,plain,
! [SV43: $i,SV49: $i,SV8: $i,SV111: $i] :
( ( ( ~ ( aElement0 @ SV111 )
| ~ ( aReductOfIn0 @ SV111 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 ) )
= $true )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1316,plain,
! [SV70: $i,SV8: $i,SV61: $i] :
( ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV70 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1317,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV82 ) )
= $true )
| ( ( ~ ( aElement0 @ SV89 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1318,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV97 )
| ~ ( aElement0 @ SV103 )
| ( SV8 != SV97 )
| ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1319,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV98 )
| ~ ( aElement0 @ SV104 )
| ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR )
| ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1320,plain,
! [SV71: $i,SV8: $i,SV62: $i] :
( ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV71 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1321,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV83 ) )
= $true )
| ( ( ~ ( aElement0 @ SV90 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1322,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV99 )
| ~ ( aElement0 @ SV105 )
| ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) )
| ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1323,plain,
! [SV8: $i] :
( ( ! [SY444: $i,SY445: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY444 )
| ~ ( aElement0 @ SY445 )
| ( SV8 != SY444 )
| ( SV8 != SY445 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY444 @ xR )
| ( SY444
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY444 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY445 @ SY444 @ SV8 ) @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) @ SY445 @ xR )
| ( SY445
= ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY445 @ xR @ ( sK130_W3 @ SY445 @ SY444 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1324,plain,
! [SV8: $i] :
( ( ! [SY446: $i,SY447: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY446 )
| ~ ( aElement0 @ SY447 )
| ~ ( aReductOfIn0 @ SY446 @ SV8 @ xR )
| ( SV8 != SY447 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY446 @ xR )
| ( SY446
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY446 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY447 @ SY446 @ SV8 ) @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) @ SY447 @ xR )
| ( SY447
= ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY447 @ xR @ ( sK127_W3 @ SY447 @ SY446 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1325,plain,
! [SV72: $i,SV8: $i,SV63: $i] :
( ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV72 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1326,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV84 ) )
= $true )
| ( ( ~ ( aElement0 @ SV91 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1327,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV100 )
| ~ ( aElement0 @ SV106 )
| ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) )
| ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1214]) ).
thf(1328,plain,
! [SV8: $i] :
( ( ! [SY455: $i,SY456: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY455 )
| ~ ( aElement0 @ SY456 )
| ( SV8 != SY455 )
| ~ ( aReductOfIn0 @ SY456 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY455 @ xR )
| ( SY455
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY455 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY456 @ SY455 @ SV8 ) @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) @ SY456 @ xR )
| ( SY456
= ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY456 @ xR @ ( sK115_W3 @ SY456 @ SY455 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1329,plain,
! [SV8: $i] :
( ( ! [SY457: $i,SY458: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SY457 )
| ~ ( aElement0 @ SY458 )
| ~ ( aReductOfIn0 @ SY457 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY458 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY457 @ xR )
| ( SY457
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY457 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY458 @ SY457 @ SV8 ) @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) @ SY458 @ xR )
| ( SY458
= ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY458 @ xR @ ( sK112_W3 @ SY458 @ SY457 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1330,plain,
! [SV39: $i,SV44: $i,SV85: $i] :
( ( ( sdtmndtplgtdt0 @ SV85 @ xR @ SV44 )
= $false )
| ( ( aElement0 @ SV85 )
= $false )
| ( ( aReductOfIn0 @ SV85 @ SV39 @ xR )
= $false )
| ( ( iLess0 @ SV44 @ SV39 )
= $true )
| ( ( aElement0 @ SV39 )
= $false )
| ( ( aElement0 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1331,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1332,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( sdtmndtasgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1333,plain,
! [SV79: $i,SV52: $i] :
( ( ( sdtmndtplgtdt0 @ xc @ xR @ SV52 )
= $false )
| ( ( aElement0 @ SV52 )
= $false )
| ( ( aReductOfIn0 @ SV79 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV79 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV79 @ xR @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1334,plain,
! [SV53: $i,SV86: $i] :
( ( ( sdtmndtplgtdt0 @ SV86 @ xR @ SV53 )
= $false )
| ( ( aElement0 @ SV86 )
= $false )
| ( ( aReductOfIn0 @ SV86 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV53 )
= $false )
| ( ( sdtmndtplgtdt0 @ xb @ xR @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1335,plain,
! [SV75: $i,SV96: $i] :
( ( ( aElement0 @ SV96 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV96 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1336,plain,
! [SV92: $i] :
( ( ( xb = SV92 )
= $false )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( ! [SY509: $i] :
( ~ ( aElement0 @ SY509 )
| ~ ( aReductOfIn0 @ SY509 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY509 @ xR @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1337,plain,
! [SV93: $i] :
( ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( ! [SY510: $i] :
( ~ ( aElement0 @ SY510 )
| ~ ( aReductOfIn0 @ SY510 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY510 @ xR @ SV93 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1338,plain,
! [SV94: $i,SV112: $i] :
( ( ( ~ ( aElement0 @ SV112 )
| ~ ( aReductOfIn0 @ SV112 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 ) )
= $true )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1339,plain,
! [SV107: $i] :
( ( ( ~ ( aElement0 @ SV107 )
| ( xb != SV107 ) )
= $true )
| ( ( ( xc != SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1340,plain,
! [SV108: $i] :
( ( ( ~ ( aElement0 @ SV108 )
| ~ ( aReductOfIn0 @ SV108 @ xb @ xR ) )
= $true )
| ( ( ( xc != SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1341,plain,
! [SV95: $i,SV113: $i] :
( ( ( ~ ( aElement0 @ SV113 )
| ~ ( aReductOfIn0 @ SV113 @ xb @ xR )
| ~ ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 ) )
= $true )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1342,plain,
! [SV109: $i] :
( ( ( ~ ( aElement0 @ SV109 )
| ( xb != SV109 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV109 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1343,plain,
! [SV110: $i] :
( ( ( ~ ( aElement0 @ SV110 )
| ~ ( aReductOfIn0 @ SV110 @ xb @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV110 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1344,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1345,plain,
( ( ( aElement0 @ sK90_SY306 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1346,plain,
( ( ( aReductOfIn0 @ sK90_SY306 @ xa @ xR )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1347,plain,
( ( ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
| ( sK90_SY306 = xc ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1234]) ).
thf(1348,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
| ( sK90_SY306 = xc ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1349,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1350,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1351,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1352,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1353,plain,
( ( ( aElement0 @ sK78_W0 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1354,plain,
( ( ( aReductOfIn0 @ sK78_W0 @ xa @ xR )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1355,plain,
( ( ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
| ( sK78_W0 = xb ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1356,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
| ( sK78_W0 = xb ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1357,plain,
( ( ( ~ ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1358,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1359,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1360,plain,
( ( ( sdtmndtasgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1361,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1362,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1363,plain,
( ( ( aElement0 @ sK67_W0 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1364,plain,
( ( ( aReductOfIn0 @ sK67_W0 @ xa @ xR )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1365,plain,
( ( ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
| ( sK67_W0 = xb ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1366,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
| ( sK67_W0 = xb ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1367,plain,
( ( ( ~ ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1368,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1369,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1370,plain,
( ( ( sdtmndtasgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1371,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1372,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1373,plain,
( ( ( aElement0 @ sK56_W0 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1374,plain,
( ( ( aReductOfIn0 @ sK56_W0 @ xa @ xR )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1375,plain,
( ( ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
| ( sK56_W0 = xb ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1376,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
| ( sK56_W0 = xb ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1377,plain,
( ( ( ~ ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1378,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1379,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1380,plain,
( ( ( sdtmndtasgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1381,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1382,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1383,plain,
! [SV65: $i,SV101: $i] :
( ( ( ~ ( aElement0 @ SV101 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV101 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV101 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( sK104_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1270]) ).
thf(1384,plain,
( ( ( ~ ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1271]) ).
thf(1385,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1272]) ).
thf(1386,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1273]) ).
thf(1387,plain,
( ( ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1388,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1389,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1276]) ).
thf(1390,plain,
( ( ( ~ ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1391,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1392,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1393,plain,
( ( ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1394,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1395,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1396,plain,
( ( ( aElement0 @ sK23_W0 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1397,plain,
( ( ( aReductOfIn0 @ sK23_W0 @ xa @ xR )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1398,plain,
( ( ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
| ( sK23_W0 = xb ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1399,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
| ( sK23_W0 = xb ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1400,plain,
( ( ( ~ ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1401,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1402,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1403,plain,
( ( ( sdtmndtasgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1404,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1405,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1406,plain,
( ( ( ~ ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1407,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1408,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1409,plain,
( ( ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1410,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1411,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1412,plain,
( ( ( ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1413,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1414,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1415,plain,
( ( ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1416,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1417,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1418,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1419,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1420,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1421,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1422,plain,
! [SV47: $i,SV41: $i,SV8: $i,SV102: $i] :
( ( ( ~ ( aElement0 @ SV102 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV102 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 ) )
= $true )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1423,plain,
! [SV58: $i,SV8: $i,SV67: $i] :
( ( ( aElement0 @ SV67 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( ( SV8 != SV58 ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1424,plain,
! [SV59: $i,SV8: $i,SV68: $i] :
( ( ( aElement0 @ SV68 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV59 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1425,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1426,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1427,plain,
! [SV42: $i,SV48: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1428,plain,
! [SV60: $i,SV8: $i,SV69: $i] :
( ( ( aElement0 @ SV69 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( ! [SY491: $i] :
( ~ ( aElement0 @ SY491 )
| ~ ( aReductOfIn0 @ SY491 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY491 @ xR @ SV60 ) ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1429,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV80 ) )
= $true )
| ( ( ~ ( aElement0 @ SV87 ) )
= $true )
| ( ( ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1430,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV81 ) )
= $true )
| ( ( ~ ( aElement0 @ SV88 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1314]) ).
thf(1431,plain,
! [SV43: $i,SV49: $i,SV8: $i,SV111: $i] :
( ( ( ~ ( aElement0 @ SV111 )
| ~ ( aReductOfIn0 @ SV111 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 ) )
= $true )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1315]) ).
thf(1432,plain,
! [SV61: $i,SV8: $i,SV70: $i] :
( ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1433,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV82 ) )
= $true )
| ( ( ~ ( aElement0 @ SV89 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1317]) ).
thf(1434,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV97 )
| ~ ( aElement0 @ SV103 )
| ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1435,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV98 )
| ~ ( aElement0 @ SV104 )
| ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1319]) ).
thf(1436,plain,
! [SV62: $i,SV8: $i,SV71: $i] :
( ( ( aElement0 @ SV71 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 ) )
= $true )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1437,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV83 ) )
= $true )
| ( ( ~ ( aElement0 @ SV90 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1321]) ).
thf(1438,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV99 )
| ~ ( aElement0 @ SV105 )
| ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1322]) ).
thf(1439,plain,
! [SV114: $i,SV8: $i] :
( ( ! [SY525: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV114 )
| ~ ( aElement0 @ SY525 )
| ( SV8 != SV114 )
| ( SV8 != SY525 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SY525 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SY525 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SY525 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY525 @ xR @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) )
| ( SY525
= ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SY525 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SY525 @ SV114 @ SV8 ) @ SY525 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SY525 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) @ SY525 @ xR )
| ( SY525
= ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY525 @ xR @ ( sK130_W3 @ SY525 @ SV114 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1440,plain,
! [SV115: $i,SV8: $i] :
( ( ! [SY526: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV115 )
| ~ ( aElement0 @ SY526 )
| ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR )
| ( SV8 != SY526 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SY526 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SY526 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SY526 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY526 @ xR @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) )
| ( SY526
= ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SY526 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SY526 @ SV115 @ SV8 ) @ SY526 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SY526 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) @ SY526 @ xR )
| ( SY526
= ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY526 @ xR @ ( sK127_W3 @ SY526 @ SV115 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1441,plain,
! [SV63: $i,SV8: $i,SV72: $i] :
( ( ( aElement0 @ SV72 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1442,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV84 ) )
= $true )
| ( ( ~ ( aElement0 @ SV91 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1443,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV100 )
| ~ ( aElement0 @ SV106 )
| ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1444,plain,
! [SV116: $i,SV8: $i] :
( ( ! [SY527: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV116 )
| ~ ( aElement0 @ SY527 )
| ( SV8 != SV116 )
| ~ ( aReductOfIn0 @ SY527 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SY527 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SY527 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SY527 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY527 @ xR @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) )
| ( SY527
= ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SY527 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SY527 @ SV116 @ SV8 ) @ SY527 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SY527 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) @ SY527 @ xR )
| ( SY527
= ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY527 @ xR @ ( sK115_W3 @ SY527 @ SV116 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1445,plain,
! [SV117: $i,SV8: $i] :
( ( ! [SY528: $i] :
( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV117 )
| ~ ( aElement0 @ SY528 )
| ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SY528 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SY528 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SY528 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SY528 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SY528 @ xR @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) )
| ( SY528
= ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SY528 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SY528 @ SV117 @ SV8 ) @ SY528 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SY528 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) @ SY528 @ xR )
| ( SY528
= ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SY528 @ xR @ ( sK112_W3 @ SY528 @ SV117 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1446,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1447,plain,
! [SV75: $i,SV96: $i] :
( ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1448,plain,
! [SV92: $i,SV118: $i] :
( ( ( ~ ( aElement0 @ SV118 )
| ~ ( aReductOfIn0 @ SV118 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SV118 @ xR @ SV92 ) )
= $true )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( xb = SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1449,plain,
! [SV93: $i,SV119: $i] :
( ( ( ~ ( aElement0 @ SV119 )
| ~ ( aReductOfIn0 @ SV119 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SV119 @ xR @ SV93 ) )
= $true )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1450,plain,
! [SV94: $i,SV112: $i] :
( ( ( ~ ( aElement0 @ SV112 )
| ~ ( aReductOfIn0 @ SV112 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 ) )
= $true )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1451,plain,
! [SV107: $i] :
( ( ( ~ ( aElement0 @ SV107 ) )
= $true )
| ( ( ( xb != SV107 ) )
= $true )
| ( ( ( xc != SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1452,plain,
! [SV108: $i] :
( ( ( ~ ( aElement0 @ SV108 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV108 @ xb @ xR ) )
= $true )
| ( ( ( xc != SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1453,plain,
! [SV95: $i,SV113: $i] :
( ( ( ~ ( aElement0 @ SV113 )
| ~ ( aReductOfIn0 @ SV113 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 ) )
= $true )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1454,plain,
! [SV109: $i] :
( ( ( ~ ( aElement0 @ SV109 ) )
= $true )
| ( ( ( xb != SV109 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV109 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1455,plain,
! [SV110: $i] :
( ( ( ~ ( aElement0 @ SV110 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV110 @ xb @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV110 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1456,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1457,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1458,plain,
( ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ xc )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1459,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK90_SY306 @ xR ) )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1348]) ).
thf(1460,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1461,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1462,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1463,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1464,plain,
( ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ xb )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1465,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK78_W0 @ xR ) )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1356]) ).
thf(1466,plain,
( ( ( ~ ( aElement0 @ sK79_SY275 )
| ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1467,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1468,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1469,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1470,plain,
( ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ xb )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1471,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK67_W0 @ xR ) )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1472,plain,
( ( ( ~ ( aElement0 @ sK68_SY244 )
| ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1473,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1474,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1475,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1476,plain,
( ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ xb )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1477,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK56_W0 @ xR ) )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1478,plain,
( ( ( ~ ( aElement0 @ sK57_SY213 )
| ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1479,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1480,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1481,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1482,plain,
! [SV65: $i,SV101: $i] :
( ( ( aElement0 @ SV101 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV101 @ xa @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV101 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( sK104_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1483,plain,
( ( ( ~ ( aElement0 @ sK45_W0 )
| ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1484,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1485,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1486,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1487,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1488,plain,
( ( ( ~ ( aElement0 @ sK34_W0 )
| ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1489,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1490,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1491,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1492,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1493,plain,
( ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ xb )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1494,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK23_W0 @ xR ) )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1495,plain,
( ( ( ~ ( aElement0 @ sK24_SY120 )
| ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1496,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1497,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1498,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1499,plain,
( ( ( ~ ( aElement0 @ sK12_W0 )
| ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1500,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1501,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1502,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1503,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1504,plain,
( ( ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1505,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1506,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1507,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1508,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1509,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1510,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1511,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1512,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( sdtmndtasgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1513,plain,
! [SV47: $i,SV41: $i,SV8: $i,SV102: $i] :
( ( ( aElement0 @ SV102 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV102 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 ) )
= $true )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1514,plain,
! [SV67: $i,SV58: $i,SV8: $i] :
( ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1515,plain,
! [SV68: $i,SV8: $i,SV59: $i] :
( ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1516,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1517,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( sdtmndtasgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1518,plain,
! [SV42: $i,SV48: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1519,plain,
! [SV69: $i,SV60: $i,SV8: $i,SV120: $i] :
( ( ( ~ ( aElement0 @ SV120 )
| ~ ( aReductOfIn0 @ SV120 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 ) )
= $true )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1520,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV80 ) )
= $true )
| ( ( ~ ( aElement0 @ SV87 ) )
= $true )
| ( ( ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1521,plain,
! [SV88: $i,SV81: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV81 ) )
= $true )
| ( ( ~ ( aElement0 @ SV88 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1522,plain,
! [SV43: $i,SV49: $i,SV8: $i,SV111: $i] :
( ( ( ~ ( aElement0 @ SV111 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV111 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 ) )
= $true )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1523,plain,
! [SV70: $i,SV61: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( ! [SY497: $i] :
( ~ ( aElement0 @ SY497 )
| ~ ( aReductOfIn0 @ SY497 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY497 @ xR @ SV70 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1524,plain,
! [SV89: $i,SV82: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV82 ) )
= $true )
| ( ( ~ ( aElement0 @ SV89 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1525,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV97 )
| ~ ( aElement0 @ SV103 ) )
= $true )
| ( ( ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1434]) ).
thf(1526,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV98 )
| ~ ( aElement0 @ SV104 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1527,plain,
! [SV71: $i,SV62: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( ( SV8 != SV71 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1528,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV83 ) )
= $true )
| ( ( ~ ( aElement0 @ SV90 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1529,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV99 )
| ~ ( aElement0 @ SV105 ) )
= $true )
| ( ( ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1530,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV114 )
| ~ ( aElement0 @ SV121 )
| ( SV8 != SV114 )
| ( SV8 != SV121 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1531,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV115 )
| ~ ( aElement0 @ SV122 )
| ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR )
| ( SV8 != SV122 )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1532,plain,
! [SV72: $i,SV63: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV72 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1533,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV84 ) )
= $true )
| ( ( ~ ( aElement0 @ SV91 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1534,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV100 )
| ~ ( aElement0 @ SV106 ) )
= $true )
| ( ( ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1535,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV116 )
| ~ ( aElement0 @ SV123 )
| ( SV8 != SV116 )
| ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1536,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV117 )
| ~ ( aElement0 @ SV124 )
| ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR )
| ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1537,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1538,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1539,plain,
! [SV75: $i,SV96: $i] :
( ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( ! [SY499: $i] :
( ~ ( aElement0 @ SY499 )
| ~ ( aReductOfIn0 @ SY499 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SY499 @ xR @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1540,plain,
! [SV92: $i,SV118: $i] :
( ( ( ~ ( aElement0 @ SV118 )
| ~ ( aReductOfIn0 @ SV118 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV118 @ xR @ SV92 ) )
= $true )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( xb = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1448]) ).
thf(1541,plain,
! [SV93: $i,SV119: $i] :
( ( ( ~ ( aElement0 @ SV119 )
| ~ ( aReductOfIn0 @ SV119 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV119 @ xR @ SV93 ) )
= $true )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1542,plain,
! [SV94: $i,SV112: $i] :
( ( ( ~ ( aElement0 @ SV112 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV112 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 ) )
= $true )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1450]) ).
thf(1543,plain,
! [SV107: $i] :
( ( ( aElement0 @ SV107 )
= $false )
| ( ( ( xb != SV107 ) )
= $true )
| ( ( ( xc != SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1544,plain,
! [SV108: $i] :
( ( ( aElement0 @ SV108 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV108 @ xb @ xR ) )
= $true )
| ( ( ( xc != SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1545,plain,
! [SV95: $i,SV113: $i] :
( ( ( ~ ( aElement0 @ SV113 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV113 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 ) )
= $true )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1453]) ).
thf(1546,plain,
! [SV109: $i] :
( ( ( aElement0 @ SV109 )
= $false )
| ( ( ( xb != SV109 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV109 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1547,plain,
! [SV110: $i] :
( ( ( aElement0 @ SV110 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV110 @ xb @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV110 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1548,plain,
( ( ( ~ ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1549,plain,
( ( ( sdtmndtplgtdt0 @ sK99_SY305 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1550,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1459]) ).
thf(1551,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1552,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1553,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1554,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1555,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1556,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1557,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1558,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1463]) ).
thf(1559,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1465]) ).
thf(1560,plain,
( ( ( ~ ( aElement0 @ sK79_SY275 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1561,plain,
( ( ( ~ ( aReductOfIn0 @ sK79_SY275 @ xa @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1562,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1563,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1564,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1565,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1566,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1567,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1568,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1471]) ).
thf(1569,plain,
( ( ( ~ ( aElement0 @ sK68_SY244 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1570,plain,
( ( ( ~ ( aReductOfIn0 @ sK68_SY244 @ xa @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1571,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1572,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1573,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1574,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1575,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1576,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1577,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1578,plain,
( ( ( ~ ( aElement0 @ sK57_SY213 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1579,plain,
( ( ( ~ ( aReductOfIn0 @ sK57_SY213 @ xa @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1580,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1581,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1582,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1583,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1584,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1585,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1586,plain,
! [SV65: $i,SV101: $i] :
( ( ( aReductOfIn0 @ SV101 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV101 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV101 @ xR @ xc ) )
= $true )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( sK104_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1587,plain,
( ( ( ~ ( aElement0 @ sK45_W0 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1483]) ).
thf(1588,plain,
( ( ( ~ ( aReductOfIn0 @ sK45_W0 @ xa @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1483]) ).
thf(1589,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1590,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1591,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1592,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1593,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1594,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1595,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1596,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1597,plain,
( ( ( ~ ( aElement0 @ sK34_W0 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1598,plain,
( ( ( ~ ( aReductOfIn0 @ sK34_W0 @ xa @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1599,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1600,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1489]) ).
thf(1601,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1602,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1603,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1604,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1605,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1606,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1607,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1608,plain,
( ( ( ~ ( aElement0 @ sK24_SY120 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1609,plain,
( ( ( ~ ( aReductOfIn0 @ sK24_SY120 @ xa @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1610,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1611,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1612,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1613,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1614,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1615,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1616,plain,
( ( ( ~ ( aElement0 @ sK12_W0 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1617,plain,
( ( ( ~ ( aReductOfIn0 @ sK12_W0 @ xa @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1618,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1619,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1620,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1621,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1622,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1623,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1624,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1625,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1626,plain,
( ( ( ~ ( aElement0 @ sK1_W0 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1627,plain,
( ( ( ~ ( aReductOfIn0 @ sK1_W0 @ xa @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1628,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1629,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1630,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1631,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1632,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1633,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1634,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1635,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1636,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1637,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1638,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1639,plain,
! [SV47: $i,SV41: $i,SV8: $i,SV102: $i] :
( ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 ) )
= $true )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1640,plain,
! [SV58: $i,SV67: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1641,plain,
! [SV59: $i,SV68: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1642,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1643,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1644,plain,
! [SV69: $i,SV60: $i,SV8: $i,SV120: $i] :
( ( ( ~ ( aElement0 @ SV120 )
| ~ ( aReductOfIn0 @ SV120 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 ) )
= $true )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1645,plain,
! [SV87: $i,SV8: $i,SV80: $i] :
( ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV87 ) )
= $true )
| ( ( ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1646,plain,
! [SV88: $i,SV8: $i,SV81: $i] :
( ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV88 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1647,plain,
! [SV43: $i,SV49: $i,SV8: $i,SV111: $i] :
( ( ( aElement0 @ SV111 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV111 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 ) )
= $true )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1648,plain,
! [SV61: $i,SV70: $i,SV8: $i,SV125: $i] :
( ( ( ~ ( aElement0 @ SV125 )
| ~ ( aReductOfIn0 @ SV125 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 ) )
= $true )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1649,plain,
! [SV89: $i,SV8: $i,SV82: $i] :
( ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV89 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1650,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV97 ) )
= $true )
| ( ( ~ ( aElement0 @ SV103 ) )
= $true )
| ( ( ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1651,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV98 ) )
= $true )
| ( ( ~ ( aElement0 @ SV104 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1652,plain,
! [SV62: $i,SV71: $i,SV8: $i] :
( ( ( SV8 = SV71 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1653,plain,
! [SV90: $i,SV8: $i,SV83: $i] :
( ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV90 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1654,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV99 ) )
= $true )
| ( ( ~ ( aElement0 @ SV105 ) )
= $true )
| ( ( ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1655,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV114 )
| ~ ( aElement0 @ SV121 )
| ( SV8 != SV114 )
| ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1656,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV115 )
| ~ ( aElement0 @ SV122 )
| ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR )
| ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1657,plain,
! [SV63: $i,SV8: $i,SV72: $i] :
( ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1658,plain,
! [SV91: $i,SV8: $i,SV84: $i] :
( ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV91 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1659,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV100 ) )
= $true )
| ( ( ~ ( aElement0 @ SV106 ) )
= $true )
| ( ( ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1660,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV116 )
| ~ ( aElement0 @ SV123 )
| ( SV8 != SV116 )
| ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1661,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV117 )
| ~ ( aElement0 @ SV124 )
| ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR )
| ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1662,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1663,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1664,plain,
! [SV96: $i,SV75: $i,SV126: $i] :
( ( ( ~ ( aElement0 @ SV126 )
| ~ ( aReductOfIn0 @ SV126 @ xc @ xR )
| ~ ( sdtmndtplgtdt0 @ SV126 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1665,plain,
! [SV92: $i,SV118: $i] :
( ( ( ~ ( aElement0 @ SV118 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV118 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV118 @ xR @ SV92 ) )
= $true )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( xb = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1666,plain,
! [SV93: $i,SV119: $i] :
( ( ( ~ ( aElement0 @ SV119 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV119 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV119 @ xR @ SV93 ) )
= $true )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1667,plain,
! [SV94: $i,SV112: $i] :
( ( ( aElement0 @ SV112 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV112 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 ) )
= $true )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1668,plain,
! [SV107: $i] :
( ( ( xb = SV107 )
= $false )
| ( ( aElement0 @ SV107 )
= $false )
| ( ( ( xc != SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1669,plain,
! [SV108: $i] :
( ( ( aReductOfIn0 @ SV108 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV108 )
= $false )
| ( ( ( xc != SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1670,plain,
! [SV95: $i,SV113: $i] :
( ( ( aElement0 @ SV113 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV113 @ xb @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 ) )
= $true )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1671,plain,
! [SV109: $i] :
( ( ( xb = SV109 )
= $false )
| ( ( aElement0 @ SV109 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV109 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1672,plain,
! [SV110: $i] :
( ( ( aReductOfIn0 @ SV110 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV110 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV110 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1673,plain,
( ( ( ~ ( aElement0 @ sK99_SY305 )
| ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1674,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1675,plain,
( ( ( ~ ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1676,plain,
( ( ( sdtmndtasgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1677,plain,
( ( ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
| ( sK90_SY306 = sK91_SY317 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1678,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
| ( sK90_SY306 = sK91_SY317 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1679,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1680,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1681,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
| ( xc = sK92_SY327 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1682,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
| ( xc = sK92_SY327 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1683,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1684,plain,
( ( ( aElement0 @ sK79_SY275 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1685,plain,
( ( ( aReductOfIn0 @ sK79_SY275 @ xa @ xR )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1686,plain,
( ( ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
| ( sK79_SY275 = xc ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1687,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
| ( sK79_SY275 = xc ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1563]) ).
thf(1688,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1689,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1690,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1691,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1692,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1693,plain,
( ( ( aElement0 @ sK68_SY244 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1694,plain,
( ( ( aReductOfIn0 @ sK68_SY244 @ xa @ xR )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1695,plain,
( ( ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
| ( sK68_SY244 = xc ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1696,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
| ( sK68_SY244 = xc ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1697,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1698,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1699,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1700,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1701,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1702,plain,
( ( ( aElement0 @ sK57_SY213 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1703,plain,
( ( ( aReductOfIn0 @ sK57_SY213 @ xa @ xR )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1704,plain,
( ( ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
| ( sK57_SY213 = xc ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1705,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
| ( sK57_SY213 = xc ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1581]) ).
thf(1706,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1707,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1708,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1709,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1710,plain,
! [SV65: $i,SV101: $i] :
( ( ( sdtmndtplgtdt0 @ SV101 @ xR @ xc )
= $false )
| ( ( aElement0 @ SV101 )
= $false )
| ( ( aReductOfIn0 @ SV101 @ xa @ xR )
= $false )
| ( ( aReductOfIn0 @ SV65 @ xa @ xR )
= $false )
| ( ( aElement0 @ SV65 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV65 @ xR @ xb )
= $false )
| ( sK104_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1711,plain,
( ( ( aElement0 @ sK45_W0 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1712,plain,
( ( ( aReductOfIn0 @ sK45_W0 @ xa @ xR )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1713,plain,
( ( ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
| ( sK45_W0 = xb ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1714,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
| ( sK45_W0 = xb ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1715,plain,
( ( ( ~ ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1716,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1717,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1718,plain,
( ( ( sdtmndtasgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1719,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1720,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1721,plain,
( ( ( aElement0 @ sK34_W0 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1722,plain,
( ( ( aReductOfIn0 @ sK34_W0 @ xa @ xR )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1723,plain,
( ( ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
| ( sK34_W0 = xb ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1724,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
| ( sK34_W0 = xb ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1725,plain,
( ( ( ~ ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1726,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1727,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1728,plain,
( ( ( sdtmndtasgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1729,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1730,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1731,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1732,plain,
( ( ( aElement0 @ sK24_SY120 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1733,plain,
( ( ( aReductOfIn0 @ sK24_SY120 @ xa @ xR )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1734,plain,
( ( ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
| ( sK24_SY120 = xc ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1735,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
| ( sK24_SY120 = xc ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1736,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1737,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1738,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1739,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1740,plain,
( ( ( aElement0 @ sK12_W0 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1741,plain,
( ( ( aReductOfIn0 @ sK12_W0 @ xa @ xR )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1742,plain,
( ( ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
| ( sK12_W0 = xb ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1743,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
| ( sK12_W0 = xb ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1744,plain,
( ( ( ~ ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1745,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1746,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1747,plain,
( ( ( sdtmndtasgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1748,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1749,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1750,plain,
( ( ( aElement0 @ sK1_W0 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1751,plain,
( ( ( aReductOfIn0 @ sK1_W0 @ xa @ xR )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1752,plain,
( ( ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
| ( sK1_W0 = xb ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1753,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
| ( sK1_W0 = xb ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1754,plain,
( ( ( ~ ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1755,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1756,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1757,plain,
( ( ( sdtmndtasgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1633]) ).
thf(1758,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1759,plain,
( ( ( sdtmndtasgtdt0 @ xc @ xR @ sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1760,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1761,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1762,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1763,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1764,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1765,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1766,plain,
! [SV47: $i,SV8: $i,SV41: $i,SV102: $i] :
( ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( ~ ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1767,plain,
! [SV58: $i,SV67: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1768,plain,
! [SV59: $i,SV68: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1641]) ).
thf(1769,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1770,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1771,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1772,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1773,plain,
! [SV69: $i,SV60: $i,SV8: $i,SV120: $i] :
( ( ( ~ ( aElement0 @ SV120 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV120 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 ) )
= $true )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1644]) ).
thf(1774,plain,
! [SV80: $i,SV8: $i,SV87: $i] :
( ( ( aElement0 @ SV87 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( ( SV8 != SV80 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1775,plain,
! [SV81: $i,SV8: $i,SV88: $i] :
( ( ( aElement0 @ SV88 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV81 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1776,plain,
! [SV43: $i,SV49: $i,SV8: $i,SV111: $i] :
( ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 ) )
= $true )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1777,plain,
! [SV61: $i,SV70: $i,SV8: $i,SV125: $i] :
( ( ( ~ ( aElement0 @ SV125 )
| ~ ( aReductOfIn0 @ SV125 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 ) )
= $true )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1648]) ).
thf(1778,plain,
! [SV82: $i,SV8: $i,SV89: $i] :
( ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( ! [SY503: $i] :
( ~ ( aElement0 @ SY503 )
| ~ ( aReductOfIn0 @ SY503 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY503 @ xR @ SV82 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1779,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV97 ) )
= $true )
| ( ( ~ ( aElement0 @ SV103 ) )
= $true )
| ( ( ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1650]) ).
thf(1780,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV98 ) )
= $true )
| ( ( ~ ( aElement0 @ SV104 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1781,plain,
! [SV62: $i,SV71: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(1782,plain,
! [SV83: $i,SV8: $i,SV90: $i] :
( ( ( aElement0 @ SV90 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 ) )
= $true )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1783,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV99 ) )
= $true )
| ( ( ~ ( aElement0 @ SV105 ) )
= $true )
| ( ( ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1784,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV114 )
| ~ ( aElement0 @ SV121 )
| ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1785,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV115 )
| ~ ( aElement0 @ SV122 )
| ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1786,plain,
! [SV63: $i,SV72: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1657]) ).
thf(1787,plain,
! [SV84: $i,SV8: $i,SV91: $i] :
( ( ( aElement0 @ SV91 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1788,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV100 ) )
= $true )
| ( ( ~ ( aElement0 @ SV106 ) )
= $true )
| ( ( ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1659]) ).
thf(1789,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV116 )
| ~ ( aElement0 @ SV123 )
| ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1790,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV117 )
| ~ ( aElement0 @ SV124 )
| ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1661]) ).
thf(1791,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1792,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1793,plain,
! [SV96: $i,SV75: $i,SV126: $i] :
( ( ( ~ ( aElement0 @ SV126 )
| ~ ( aReductOfIn0 @ SV126 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV126 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1794,plain,
! [SV92: $i,SV118: $i] :
( ( ( aElement0 @ SV118 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV118 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV118 @ xR @ SV92 ) )
= $true )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( xb = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1795,plain,
! [SV93: $i,SV119: $i] :
( ( ( aElement0 @ SV119 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV119 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV119 @ xR @ SV93 ) )
= $true )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1796,plain,
! [SV94: $i,SV112: $i] :
( ( ( aReductOfIn0 @ SV112 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV112 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 ) )
= $true )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1797,plain,
! [SV107: $i] :
( ( ( xc = SV107 )
= $false )
| ( ( aElement0 @ SV107 )
= $false )
| ( ( xb = SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1798,plain,
! [SV108: $i] :
( ( ( xc = SV108 )
= $false )
| ( ( aElement0 @ SV108 )
= $false )
| ( ( aReductOfIn0 @ SV108 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1799,plain,
! [SV95: $i,SV113: $i] :
( ( ( aReductOfIn0 @ SV113 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV113 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 ) )
= $true )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1800,plain,
! [SV109: $i] :
( ( ( aReductOfIn0 @ SV109 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV109 )
= $false )
| ( ( xb = SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1801,plain,
! [SV110: $i] :
( ( ( aReductOfIn0 @ SV110 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV110 )
= $false )
| ( ( aReductOfIn0 @ SV110 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1802,plain,
( ( ( ~ ( aElement0 @ sK99_SY305 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1803,plain,
( ( ( ~ ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1804,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1805,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1806,plain,
( ( ( ~ ( aElement0 @ sK91_SY317 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1807,plain,
( ( ( sdtmndtplgtdt0 @ sK90_SY306 @ xR @ sK91_SY317 )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1677]) ).
thf(1808,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR ) )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1678]) ).
thf(1809,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1810,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK92_SY327 )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1811,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xc @ xR ) )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1812,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1683]) ).
thf(1813,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1683]) ).
thf(1814,plain,
( ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ xc )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1815,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK79_SY275 @ xR ) )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1816,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1688]) ).
thf(1817,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1818,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1819,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1820,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1821,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1822,plain,
( ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ xc )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1695]) ).
thf(1823,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK68_SY244 @ xR ) )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1696]) ).
thf(1824,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1825,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1826,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1827,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1828,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1829,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1830,plain,
( ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ xc )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1704]) ).
thf(1831,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK57_SY213 @ xR ) )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1705]) ).
thf(1832,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1833,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1834,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1835,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1836,plain,
( ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ xb )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1837,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK45_W0 @ xR ) )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1838,plain,
( ( ( ~ ( aElement0 @ sK46_SY182 )
| ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1839,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(1840,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1841,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1842,plain,
( ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ xb )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1843,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK34_W0 @ xR ) )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1724]) ).
thf(1844,plain,
( ( ( ~ ( aElement0 @ sK35_SY151 )
| ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1845,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1846,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1847,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1848,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1849,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1850,plain,
( ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ xc )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1734]) ).
thf(1851,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK24_SY120 @ xR ) )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1852,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1853,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1854,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1855,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1856,plain,
( ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ xb )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1857,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK12_W0 @ xR ) )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1743]) ).
thf(1858,plain,
( ( ( ~ ( aElement0 @ sK13_SY89 )
| ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1859,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1860,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1861,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1862,plain,
( ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xb )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1863,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
| ( aReductOfIn0 @ xb @ sK1_W0 @ xR ) )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1864,plain,
( ( ( ~ ( aElement0 @ sK2_SY58 )
| ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1865,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1866,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1867,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1868,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1869,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( sdtmndtasgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1870,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1871,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
| ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1872,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1873,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1874,plain,
! [SV102: $i,SV41: $i,SV47: $i,SV8: $i] :
( ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1766]) ).
thf(1875,plain,
! [SV58: $i,SV67: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1876,plain,
! [SV59: $i,SV68: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1877,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1878,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1879,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1880,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( sdtmndtasgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1881,plain,
! [SV69: $i,SV60: $i,SV8: $i,SV120: $i] :
( ( ( aElement0 @ SV120 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV120 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 ) )
= $true )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(1882,plain,
! [SV87: $i,SV80: $i,SV8: $i] :
( ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1883,plain,
! [SV88: $i,SV8: $i,SV81: $i] :
( ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1884,plain,
! [SV43: $i,SV8: $i,SV49: $i,SV111: $i] :
( ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1885,plain,
! [SV61: $i,SV70: $i,SV8: $i,SV125: $i] :
( ( ( ~ ( aElement0 @ SV125 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV125 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 ) )
= $true )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1777]) ).
thf(1886,plain,
! [SV89: $i,SV82: $i,SV8: $i,SV127: $i] :
( ( ( ~ ( aElement0 @ SV127 )
| ~ ( aReductOfIn0 @ SV127 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 ) )
= $true )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(1887,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV97 ) )
= $true )
| ( ( ~ ( aElement0 @ SV103 ) )
= $true )
| ( ( ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1779]) ).
thf(1888,plain,
! [SV104: $i,SV98: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV98 ) )
= $true )
| ( ( ~ ( aElement0 @ SV104 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(1889,plain,
! [SV62: $i,SV71: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1890,plain,
! [SV90: $i,SV83: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( ( SV8 != SV90 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1782]) ).
thf(1891,plain,
! [SV105: $i,SV99: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV99 ) )
= $true )
| ( ( ~ ( aElement0 @ SV105 ) )
= $true )
| ( ( ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1892,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV114 )
| ~ ( aElement0 @ SV121 ) )
= $true )
| ( ( ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1893,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV115 )
| ~ ( aElement0 @ SV122 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1894,plain,
! [SV63: $i,SV72: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1895,plain,
! [SV91: $i,SV84: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV91 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1896,plain,
! [SV106: $i,SV100: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV100 ) )
= $true )
| ( ( ~ ( aElement0 @ SV106 ) )
= $true )
| ( ( ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1897,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV116 )
| ~ ( aElement0 @ SV123 ) )
= $true )
| ( ( ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1789]) ).
thf(1898,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV117 )
| ~ ( aElement0 @ SV124 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1790]) ).
thf(1899,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1791]) ).
thf(1900,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1791]) ).
thf(1901,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1902,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1903,plain,
! [SV96: $i,SV75: $i,SV126: $i] :
( ( ( ~ ( aElement0 @ SV126 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV126 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV126 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1793]) ).
thf(1904,plain,
! [SV92: $i,SV118: $i] :
( ( ( aReductOfIn0 @ SV118 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV118 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV118 @ xR @ SV92 ) )
= $true )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( xb = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1905,plain,
! [SV93: $i,SV119: $i] :
( ( ( aReductOfIn0 @ SV119 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV119 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV119 @ xR @ SV93 ) )
= $true )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1906,plain,
! [SV94: $i,SV112: $i] :
( ( ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 )
= $false )
| ( ( aElement0 @ SV112 )
= $false )
| ( ( aReductOfIn0 @ SV112 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( ( xc != SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1907,plain,
! [SV95: $i,SV113: $i] :
( ( ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 )
= $false )
| ( ( aElement0 @ SV113 )
= $false )
| ( ( aReductOfIn0 @ SV113 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV95 @ xc @ xR ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1908,plain,
( ( ( aElement0 @ sK99_SY305 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1909,plain,
( ( ( aReductOfIn0 @ sK99_SY305 @ sK89_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = xb )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1910,plain,
( ( ( ~ ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1911,plain,
( ( ( sdtmndtplgtdt0 @ sK98_SY316 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1805]) ).
thf(1912,plain,
( ( ( ~ ( aElement0 @ sK91_SY317 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(1913,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(1914,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1808]) ).
thf(1915,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1916,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1917,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1811]) ).
thf(1918,plain,
( ( ( ~ ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1919,plain,
( ( ( sdtmndtplgtdt0 @ sK88_SY274 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1813]) ).
thf(1920,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1921,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1922,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1923,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1924,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1925,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1926,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1927,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(1928,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(1929,plain,
( ( ( ~ ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1930,plain,
( ( ( sdtmndtplgtdt0 @ sK77_SY243 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1931,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1823]) ).
thf(1932,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1824]) ).
thf(1933,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1824]) ).
thf(1934,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1935,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1936,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1937,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1938,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1827]) ).
thf(1939,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1827]) ).
thf(1940,plain,
( ( ( ~ ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1828]) ).
thf(1941,plain,
( ( ( sdtmndtplgtdt0 @ sK66_SY212 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1829]) ).
thf(1942,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1943,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1944,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1945,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1946,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1947,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1834]) ).
thf(1948,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1834]) ).
thf(1949,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1950,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1951,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1837]) ).
thf(1952,plain,
( ( ( ~ ( aElement0 @ sK46_SY182 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(1953,plain,
( ( ( ~ ( aReductOfIn0 @ sK46_SY182 @ xa @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(1954,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1839]) ).
thf(1955,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1839]) ).
thf(1956,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(1957,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(1958,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(1959,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(1960,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1843]) ).
thf(1961,plain,
( ( ( ~ ( aElement0 @ sK35_SY151 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1962,plain,
( ( ( ~ ( aReductOfIn0 @ sK35_SY151 @ xa @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1963,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1964,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1965,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1966,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1967,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1847]) ).
thf(1968,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1847]) ).
thf(1969,plain,
( ( ( ~ ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1970,plain,
( ( ( sdtmndtplgtdt0 @ sK33_SY119 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(1971,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1851]) ).
thf(1972,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(1973,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(1974,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1975,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1976,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1854]) ).
thf(1977,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1854]) ).
thf(1978,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1855]) ).
thf(1979,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1855]) ).
thf(1980,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1857]) ).
thf(1981,plain,
( ( ( ~ ( aElement0 @ sK13_SY89 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1858]) ).
thf(1982,plain,
( ( ( ~ ( aReductOfIn0 @ sK13_SY89 @ xa @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1858]) ).
thf(1983,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1859]) ).
thf(1984,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1859]) ).
thf(1985,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1986,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1987,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1861]) ).
thf(1988,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1861]) ).
thf(1989,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1863]) ).
thf(1990,plain,
( ( ( ~ ( aElement0 @ sK2_SY58 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1991,plain,
( ( ( ~ ( aReductOfIn0 @ sK2_SY58 @ xa @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1992,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1993,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1994,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1995,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1996,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1997,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1998,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1999,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( sdtmndtplgtdt0 @ SV24 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1870]) ).
thf(2000,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(2001,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(2002,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1873]) ).
thf(2003,plain,
! [SV102: $i,SV41: $i,SV47: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1874]) ).
thf(2004,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(2005,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(2006,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1877]) ).
thf(2007,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(2008,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(2009,plain,
! [SV69: $i,SV60: $i,SV8: $i,SV120: $i] :
( ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 ) )
= $true )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(2010,plain,
! [SV80: $i,SV87: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(2011,plain,
! [SV81: $i,SV88: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2012,plain,
! [SV111: $i,SV43: $i,SV49: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1884]) ).
thf(2013,plain,
! [SV61: $i,SV70: $i,SV8: $i,SV125: $i] :
( ( ( aElement0 @ SV125 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV125 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 ) )
= $true )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(2014,plain,
! [SV89: $i,SV82: $i,SV8: $i,SV127: $i] :
( ( ( ~ ( aElement0 @ SV127 )
| ~ ( aReductOfIn0 @ SV127 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 ) )
= $true )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(2015,plain,
! [SV103: $i,SV8: $i,SV97: $i] :
( ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV103 ) )
= $true )
| ( ( ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(2016,plain,
! [SV104: $i,SV8: $i,SV98: $i] :
( ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV104 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(2017,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(2018,plain,
! [SV83: $i,SV90: $i,SV8: $i] :
( ( ( SV8 = SV90 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1890]) ).
thf(2019,plain,
! [SV105: $i,SV8: $i,SV99: $i] :
( ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV105 ) )
= $true )
| ( ( ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(2020,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV114 ) )
= $true )
| ( ( ~ ( aElement0 @ SV121 ) )
= $true )
| ( ( ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1892]) ).
thf(2021,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV115 ) )
= $true )
| ( ( ~ ( aElement0 @ SV122 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1893]) ).
thf(2022,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(2023,plain,
! [SV84: $i,SV8: $i,SV91: $i] :
( ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(2024,plain,
! [SV106: $i,SV8: $i,SV100: $i] :
( ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV106 ) )
= $true )
| ( ( ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(2025,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV116 ) )
= $true )
| ( ( ~ ( aElement0 @ SV123 ) )
= $true )
| ( ( ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1897]) ).
thf(2026,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 )
| ~ ( aElement0 @ SV117 ) )
= $true )
| ( ( ~ ( aElement0 @ SV124 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1898]) ).
thf(2027,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(2028,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( sdtmndtasgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(2029,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(2030,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
| ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1902]) ).
thf(2031,plain,
! [SV96: $i,SV75: $i,SV126: $i] :
( ( ( aElement0 @ SV126 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV126 @ xc @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV126 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(2032,plain,
! [SV92: $i,SV118: $i] :
( ( ( sdtmndtplgtdt0 @ SV118 @ xR @ SV92 )
= $false )
| ( ( aElement0 @ SV118 )
= $false )
| ( ( aReductOfIn0 @ SV118 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV92 )
= $false )
| ( ( xb = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(2033,plain,
! [SV93: $i,SV119: $i] :
( ( ( sdtmndtplgtdt0 @ SV119 @ xR @ SV93 )
= $false )
| ( ( aElement0 @ SV119 )
= $false )
| ( ( aReductOfIn0 @ SV119 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV93 )
= $false )
| ( ( aReductOfIn0 @ SV93 @ xb @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(2034,plain,
! [SV112: $i,SV94: $i] :
( ( ( xc = SV94 )
= $false )
| ( ( aElement0 @ SV94 )
= $false )
| ( ( aReductOfIn0 @ SV112 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV112 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV112 @ xR @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(2035,plain,
! [SV113: $i,SV95: $i] :
( ( ( aReductOfIn0 @ SV95 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV95 )
= $false )
| ( ( aReductOfIn0 @ SV113 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV113 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV113 @ xR @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(2036,plain,
( ( ( ~ ( aElement0 @ sK98_SY316 )
| ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(2037,plain,
( ( ( aElement0 @ sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(2038,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(2039,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(2040,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1915]) ).
thf(2041,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(2042,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(2043,plain,
( ( ( ~ ( aElement0 @ sK88_SY274 )
| ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(2044,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(2045,plain,
( ( ( ~ ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1921]) ).
thf(2046,plain,
( ( ( sdtmndtasgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(2047,plain,
( ( ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
| ( sK79_SY275 = sK80_SY286 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1923]) ).
thf(2048,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
| ( sK79_SY275 = sK80_SY286 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1924]) ).
thf(2049,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1925]) ).
thf(2050,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(2051,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
| ( xc = sK81_SY296 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2052,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
| ( xc = sK81_SY296 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(2053,plain,
( ( ( ~ ( aElement0 @ sK77_SY243 )
| ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(2054,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(2055,plain,
( ( ( ~ ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(2056,plain,
( ( ( sdtmndtasgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(2057,plain,
( ( ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
| ( sK68_SY244 = sK69_SY255 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1934]) ).
thf(2058,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
| ( sK68_SY244 = sK69_SY255 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(2059,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(2060,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(2061,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
| ( xc = sK70_SY265 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1938]) ).
thf(2062,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
| ( xc = sK70_SY265 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(2063,plain,
( ( ( ~ ( aElement0 @ sK66_SY212 )
| ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1940]) ).
thf(2064,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(2065,plain,
( ( ( ~ ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2066,plain,
( ( ( sdtmndtasgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2067,plain,
( ( ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
| ( sK57_SY213 = sK58_SY224 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(2068,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
| ( sK57_SY213 = sK58_SY224 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(2069,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(2070,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(2071,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
| ( xc = sK59_SY234 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1949]) ).
thf(2072,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
| ( xc = sK59_SY234 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1950]) ).
thf(2073,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1951]) ).
thf(2074,plain,
( ( ( aElement0 @ sK46_SY182 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(2075,plain,
( ( ( aReductOfIn0 @ sK46_SY182 @ xa @ xR )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1953]) ).
thf(2076,plain,
( ( ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
| ( sK46_SY182 = xc ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1954]) ).
thf(2077,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
| ( sK46_SY182 = xc ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(2078,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(2079,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(2080,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2081,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1959]) ).
thf(2082,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2083,plain,
( ( ( aElement0 @ sK35_SY151 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(2084,plain,
( ( ( aReductOfIn0 @ sK35_SY151 @ xa @ xR )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(2085,plain,
( ( ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
| ( sK35_SY151 = xc ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1963]) ).
thf(2086,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
| ( sK35_SY151 = xc ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1964]) ).
thf(2087,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2088,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1966]) ).
thf(2089,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1967]) ).
thf(2090,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1968]) ).
thf(2091,plain,
( ( ( ~ ( aElement0 @ sK33_SY119 )
| ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1969]) ).
thf(2092,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2093,plain,
( ( ( ~ ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1972]) ).
thf(2094,plain,
( ( ( sdtmndtasgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(2095,plain,
( ( ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
| ( sK24_SY120 = sK25_SY131 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2096,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
| ( sK24_SY120 = sK25_SY131 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1975]) ).
thf(2097,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1976]) ).
thf(2098,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(2099,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
| ( xc = sK26_SY141 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1978]) ).
thf(2100,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
| ( xc = sK26_SY141 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(2101,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(2102,plain,
( ( ( aElement0 @ sK13_SY89 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(2103,plain,
( ( ( aReductOfIn0 @ sK13_SY89 @ xa @ xR )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1982]) ).
thf(2104,plain,
( ( ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
| ( sK13_SY89 = xc ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2105,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
| ( sK13_SY89 = xc ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2106,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1985]) ).
thf(2107,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2108,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2109,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1988]) ).
thf(2110,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(2111,plain,
( ( ( aElement0 @ sK2_SY58 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1990]) ).
thf(2112,plain,
( ( ( aReductOfIn0 @ sK2_SY58 @ xa @ xR )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(2113,plain,
( ( ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
| ( sK2_SY58 = xc ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1992]) ).
thf(2114,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
| ( sK2_SY58 = xc ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1993]) ).
thf(2115,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2116,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2117,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2118,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2119,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2120,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2121,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2000]) ).
thf(2122,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2001]) ).
thf(2123,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2001]) ).
thf(2124,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2125,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2126,plain,
! [SV102: $i,SV41: $i,SV47: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2003]) ).
thf(2127,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2128,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2129,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2130,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2131,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2132,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2133,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2134,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2135,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2136,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2137,plain,
! [SV69: $i,SV8: $i,SV60: $i,SV120: $i] :
( ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2009]) ).
thf(2138,plain,
! [SV80: $i,SV87: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2010]) ).
thf(2139,plain,
! [SV81: $i,SV88: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2140,plain,
! [SV111: $i,SV43: $i,SV49: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2012]) ).
thf(2141,plain,
! [SV61: $i,SV70: $i,SV8: $i,SV125: $i] :
( ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 ) )
= $true )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2013]) ).
thf(2142,plain,
! [SV89: $i,SV82: $i,SV8: $i,SV127: $i] :
( ( ( ~ ( aElement0 @ SV127 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV127 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 ) )
= $true )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2014]) ).
thf(2143,plain,
! [SV97: $i,SV8: $i,SV103: $i] :
( ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( ( SV8 != SV97 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2015]) ).
thf(2144,plain,
! [SV98: $i,SV8: $i,SV104: $i] :
( ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV98 @ SV8 @ xR ) )
= $true )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2145,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2017]) ).
thf(2146,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2017]) ).
thf(2147,plain,
! [SV83: $i,SV90: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2018]) ).
thf(2148,plain,
! [SV99: $i,SV8: $i,SV105: $i] :
( ( ( aElement0 @ SV105 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( ! [SY518: $i] :
( ~ ( aElement0 @ SY518 )
| ~ ( aReductOfIn0 @ SY518 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY518 @ xR @ SV99 ) ) )
= $true )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2149,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV114 ) )
= $true )
| ( ( ~ ( aElement0 @ SV121 ) )
= $true )
| ( ( ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2020]) ).
thf(2150,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV115 ) )
= $true )
| ( ( ~ ( aElement0 @ SV122 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2021]) ).
thf(2151,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2022]) ).
thf(2152,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2022]) ).
thf(2153,plain,
! [SV84: $i,SV91: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2023]) ).
thf(2154,plain,
! [SV100: $i,SV8: $i,SV106: $i] :
( ( ( aElement0 @ SV106 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( ! [SY520: $i] :
( ~ ( aElement0 @ SY520 )
| ~ ( aReductOfIn0 @ SY520 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY520 @ xR @ SV100 ) ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2024]) ).
thf(2155,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV116 ) )
= $true )
| ( ( ~ ( aElement0 @ SV123 ) )
= $true )
| ( ( ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2025]) ).
thf(2156,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ~ ( aElement0 @ SV117 ) )
= $true )
| ( ( ~ ( aElement0 @ SV124 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2026]) ).
thf(2157,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2027]) ).
thf(2158,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( sdtmndtplgtdt0 @ SV35 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2029]) ).
thf(2159,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2030]) ).
thf(2160,plain,
! [SV96: $i,SV75: $i,SV126: $i] :
( ( ( aReductOfIn0 @ SV126 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV126 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV126 @ xR @ SV75 ) )
= $true )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2161,plain,
( ( ( ~ ( aElement0 @ sK98_SY316 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2162,plain,
( ( ( ~ ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2163,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2164,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2039]) ).
thf(2165,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2039]) ).
thf(2166,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2040]) ).
thf(2167,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2041]) ).
thf(2168,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2042]) ).
thf(2169,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2042]) ).
thf(2170,plain,
( ( ( ~ ( aElement0 @ sK88_SY274 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2043]) ).
thf(2171,plain,
( ( ( ~ ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2043]) ).
thf(2172,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2044]) ).
thf(2173,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2044]) ).
thf(2174,plain,
( ( ( ~ ( aElement0 @ sK80_SY286 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2045]) ).
thf(2175,plain,
( ( ( sdtmndtplgtdt0 @ sK79_SY275 @ xR @ sK80_SY286 )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2047]) ).
thf(2176,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR ) )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2048]) ).
thf(2177,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2178,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK81_SY296 )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2051]) ).
thf(2179,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xc @ xR ) )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2180,plain,
( ( ( ~ ( aElement0 @ sK77_SY243 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2181,plain,
( ( ( ~ ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2182,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2054]) ).
thf(2183,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2054]) ).
thf(2184,plain,
( ( ( ~ ( aElement0 @ sK69_SY255 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2185,plain,
( ( ( sdtmndtplgtdt0 @ sK68_SY244 @ xR @ sK69_SY255 )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2057]) ).
thf(2186,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR ) )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2058]) ).
thf(2187,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2188,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK70_SY265 )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2061]) ).
thf(2189,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xc @ xR ) )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2062]) ).
thf(2190,plain,
( ( ( ~ ( aElement0 @ sK66_SY212 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2063]) ).
thf(2191,plain,
( ( ( ~ ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2063]) ).
thf(2192,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2193,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2194,plain,
( ( ( ~ ( aElement0 @ sK58_SY224 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2195,plain,
( ( ( sdtmndtplgtdt0 @ sK57_SY213 @ xR @ sK58_SY224 )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2067]) ).
thf(2196,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR ) )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2068]) ).
thf(2197,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2198,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK59_SY234 )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2199,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xc @ xR ) )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2200,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2073]) ).
thf(2201,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2073]) ).
thf(2202,plain,
( ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ xc )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2203,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK46_SY182 @ xR ) )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2077]) ).
thf(2204,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2205,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2206,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2080]) ).
thf(2207,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2208,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2209,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2210,plain,
( ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ xc )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2085]) ).
thf(2211,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK35_SY151 @ xR ) )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2086]) ).
thf(2212,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2213,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2088]) ).
thf(2214,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2089]) ).
thf(2215,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2090]) ).
thf(2216,plain,
( ( ( ~ ( aElement0 @ sK33_SY119 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2091]) ).
thf(2217,plain,
( ( ( ~ ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2091]) ).
thf(2218,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2092]) ).
thf(2219,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2092]) ).
thf(2220,plain,
( ( ( ~ ( aElement0 @ sK25_SY131 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2093]) ).
thf(2221,plain,
( ( ( sdtmndtplgtdt0 @ sK24_SY120 @ xR @ sK25_SY131 )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2222,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR ) )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2223,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2224,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK26_SY141 )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2099]) ).
thf(2225,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xc @ xR ) )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2100]) ).
thf(2226,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2227,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2228,plain,
( ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ xc )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2229,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK13_SY89 @ xR ) )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2105]) ).
thf(2230,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2231,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2232,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2233,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2234,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2110]) ).
thf(2235,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2110]) ).
thf(2236,plain,
( ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ xc )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2113]) ).
thf(2237,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
| ( aReductOfIn0 @ xc @ sK2_SY58 @ xR ) )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2114]) ).
thf(2238,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2115]) ).
thf(2239,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2240,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2241,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2242,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( aElement0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2243,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2244,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2245,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2122]) ).
thf(2246,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( sdtmndtasgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2123]) ).
thf(2247,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2124]) ).
thf(2248,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
| ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2125]) ).
thf(2249,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2250,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2127]) ).
thf(2251,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( sdtmndtasgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2128]) ).
thf(2252,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2253,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( sdtmndtasgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2130]) ).
thf(2254,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2131]) ).
thf(2255,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( sdtmndtasgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2132]) ).
thf(2256,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2133]) ).
thf(2257,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
| ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2258,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2259,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2136]) ).
thf(2260,plain,
! [SV120: $i,SV60: $i,SV69: $i,SV8: $i] :
( ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2137]) ).
thf(2261,plain,
! [SV80: $i,SV87: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2138]) ).
thf(2262,plain,
! [SV81: $i,SV88: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2139]) ).
thf(2263,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2264,plain,
! [SV61: $i,SV8: $i,SV70: $i,SV125: $i] :
( ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2265,plain,
! [SV89: $i,SV82: $i,SV8: $i,SV127: $i] :
( ( ( aElement0 @ SV127 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV127 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 ) )
= $true )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2142]) ).
thf(2266,plain,
! [SV103: $i,SV97: $i,SV8: $i] :
( ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( ! [SY521: $i] :
( ~ ( aElement0 @ SY521 )
| ~ ( aReductOfIn0 @ SY521 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY521 @ xR @ SV103 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2267,plain,
! [SV104: $i,SV8: $i,SV98: $i] :
( ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( ! [SY522: $i] :
( ~ ( aElement0 @ SY522 )
| ~ ( aReductOfIn0 @ SY522 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY522 @ xR @ SV104 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2144]) ).
thf(2268,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2145]) ).
thf(2269,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( sdtmndtasgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2146]) ).
thf(2270,plain,
! [SV83: $i,SV90: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2271,plain,
! [SV105: $i,SV99: $i,SV8: $i,SV128: $i] :
( ( ( ~ ( aElement0 @ SV128 )
| ~ ( aReductOfIn0 @ SV128 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 ) )
= $true )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2272,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV114 ) )
= $true )
| ( ( ~ ( aElement0 @ SV121 ) )
= $true )
| ( ( ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2273,plain,
! [SV122: $i,SV115: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV115 ) )
= $true )
| ( ( ~ ( aElement0 @ SV122 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2274,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2151]) ).
thf(2275,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( sdtmndtasgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2152]) ).
thf(2276,plain,
! [SV84: $i,SV91: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2277,plain,
! [SV106: $i,SV100: $i,SV8: $i,SV129: $i] :
( ( ( ~ ( aElement0 @ SV129 )
| ~ ( aReductOfIn0 @ SV129 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 ) )
= $true )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2278,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV116 ) )
= $true )
| ( ( ~ ( aElement0 @ SV123 ) )
= $true )
| ( ( ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2279,plain,
! [SV124: $i,SV117: $i,SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV117 ) )
= $true )
| ( ( ~ ( aElement0 @ SV124 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2280,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2157]) ).
thf(2281,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2157]) ).
thf(2282,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2159]) ).
thf(2283,plain,
! [SV96: $i,SV75: $i,SV126: $i] :
( ( ( sdtmndtplgtdt0 @ SV126 @ xR @ SV75 )
= $false )
| ( ( aElement0 @ SV126 )
= $false )
| ( ( aReductOfIn0 @ SV126 @ xc @ xR )
= $false )
| ( ( aElement0 @ SV75 )
= $false )
| ( ( aReductOfIn0 @ SV96 @ xb @ xR )
= $false )
| ( ( aElement0 @ SV96 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV96 @ xR @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2284,plain,
( ( ( aElement0 @ sK98_SY316 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2161]) ).
thf(2285,plain,
( ( ( aReductOfIn0 @ sK98_SY316 @ sK90_SY306 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = xc )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2162]) ).
thf(2286,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2287,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2288,plain,
( ( ( ~ ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2164]) ).
thf(2289,plain,
( ( ( sdtmndtplgtdt0 @ sK96_SY326 @ xR @ sK91_SY317 )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2165]) ).
thf(2290,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2291,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2292,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2293,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2294,plain,
( ( ( ~ ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2168]) ).
thf(2295,plain,
( ( ( sdtmndtplgtdt0 @ sK93_SY335 @ xR @ sK92_SY327 )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2169]) ).
thf(2296,plain,
( ( ( aElement0 @ sK88_SY274 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2170]) ).
thf(2297,plain,
( ( ( aReductOfIn0 @ sK88_SY274 @ sK78_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = xb )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2171]) ).
thf(2298,plain,
( ( ( ~ ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2172]) ).
thf(2299,plain,
( ( ( sdtmndtplgtdt0 @ sK87_SY285 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2300,plain,
( ( ( ~ ( aElement0 @ sK80_SY286 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2174]) ).
thf(2301,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2174]) ).
thf(2302,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2176]) ).
thf(2303,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2177]) ).
thf(2304,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2177]) ).
thf(2305,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2179]) ).
thf(2306,plain,
( ( ( aElement0 @ sK77_SY243 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2307,plain,
( ( ( aReductOfIn0 @ sK77_SY243 @ sK67_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = xb )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2181]) ).
thf(2308,plain,
( ( ( ~ ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2309,plain,
( ( ( sdtmndtplgtdt0 @ sK76_SY254 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2183]) ).
thf(2310,plain,
( ( ( ~ ( aElement0 @ sK69_SY255 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2311,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2312,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2186]) ).
thf(2313,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2314,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2315,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2316,plain,
( ( ( aElement0 @ sK66_SY212 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2317,plain,
( ( ( aReductOfIn0 @ sK66_SY212 @ sK56_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = xb )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2318,plain,
( ( ( ~ ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2319,plain,
( ( ( sdtmndtplgtdt0 @ sK65_SY223 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2193]) ).
thf(2320,plain,
( ( ( ~ ( aElement0 @ sK58_SY224 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2194]) ).
thf(2321,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2194]) ).
thf(2322,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2323,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2324,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2325,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2199]) ).
thf(2326,plain,
( ( ( ~ ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2327,plain,
( ( ( sdtmndtplgtdt0 @ sK55_SY181 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2328,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2203]) ).
thf(2329,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2204]) ).
thf(2330,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2204]) ).
thf(2331,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2205]) ).
thf(2332,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2205]) ).
thf(2333,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2206]) ).
thf(2334,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2206]) ).
thf(2335,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2207]) ).
thf(2336,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2207]) ).
thf(2337,plain,
( ( ( ~ ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(2338,plain,
( ( ( sdtmndtplgtdt0 @ sK44_SY150 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2339,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2211]) ).
thf(2340,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2341,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2342,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2213]) ).
thf(2343,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2213]) ).
thf(2344,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2345,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2346,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2347,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2348,plain,
( ( ( aElement0 @ sK33_SY119 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2349,plain,
( ( ( aReductOfIn0 @ sK33_SY119 @ sK23_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = xb )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2350,plain,
( ( ( ~ ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2351,plain,
( ( ( sdtmndtplgtdt0 @ sK32_SY130 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2352,plain,
( ( ( ~ ( aElement0 @ sK25_SY131 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2220]) ).
thf(2353,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2220]) ).
thf(2354,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2222]) ).
thf(2355,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2223]) ).
thf(2356,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2223]) ).
thf(2357,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2225]) ).
thf(2358,plain,
( ( ( ~ ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2359,plain,
( ( ( sdtmndtplgtdt0 @ sK22_SY88 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2360,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2361,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2230]) ).
thf(2362,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2230]) ).
thf(2363,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2364,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2365,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2232]) ).
thf(2366,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2232]) ).
thf(2367,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2233]) ).
thf(2368,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2233]) ).
thf(2369,plain,
( ( ( ~ ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2370,plain,
( ( ( sdtmndtplgtdt0 @ sK11_SY57 @ xR @ xb )
= $true )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2235]) ).
thf(2371,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2237]) ).
thf(2372,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2238]) ).
thf(2373,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2238]) ).
thf(2374,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2375,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2376,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2377,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2378,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2241]) ).
thf(2379,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2241]) ).
thf(2380,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2381,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2244]) ).
thf(2382,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2244]) ).
thf(2383,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2384,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( sdtmndtplgtdt0 @ SV33 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2247]) ).
thf(2385,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2248]) ).
thf(2386,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2387,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2388,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2250]) ).
thf(2389,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2252]) ).
thf(2390,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2254]) ).
thf(2391,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( sdtmndtplgtdt0 @ SV34 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2392,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2393,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2258]) ).
thf(2394,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2395,plain,
! [SV120: $i,SV60: $i,SV69: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2260]) ).
thf(2396,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2261]) ).
thf(2397,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2262]) ).
thf(2398,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2263]) ).
thf(2399,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2263]) ).
thf(2400,plain,
! [SV125: $i,SV61: $i,SV70: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2264]) ).
thf(2401,plain,
! [SV89: $i,SV82: $i,SV8: $i,SV127: $i] :
( ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 ) )
= $true )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2402,plain,
! [SV97: $i,SV103: $i,SV8: $i,SV130: $i] :
( ( ( ~ ( aElement0 @ SV130 )
| ~ ( aReductOfIn0 @ SV130 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 ) )
= $true )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2403,plain,
! [SV98: $i,SV104: $i,SV8: $i,SV131: $i] :
( ( ( ~ ( aElement0 @ SV131 )
| ~ ( aReductOfIn0 @ SV131 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 ) )
= $true )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2404,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2405,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2406,plain,
! [SV105: $i,SV99: $i,SV8: $i,SV128: $i] :
( ( ( ~ ( aElement0 @ SV128 )
| ~ ( aReductOfIn0 @ SV128 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 ) )
= $true )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2271]) ).
thf(2407,plain,
! [SV121: $i,SV8: $i,SV114: $i] :
( ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV121 ) )
= $true )
| ( ( ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2408,plain,
! [SV122: $i,SV8: $i,SV115: $i] :
( ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV122 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2409,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2274]) ).
thf(2410,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2411,plain,
! [SV106: $i,SV100: $i,SV8: $i,SV129: $i] :
( ( ( ~ ( aElement0 @ SV129 )
| ~ ( aReductOfIn0 @ SV129 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 ) )
= $true )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2412,plain,
! [SV123: $i,SV8: $i,SV116: $i] :
( ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV123 ) )
= $true )
| ( ( ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2413,plain,
! [SV124: $i,SV8: $i,SV117: $i] :
( ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( ~ ( aElement0 @ SV124 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2414,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( aElement0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2280]) ).
thf(2415,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2281]) ).
thf(2416,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2417,plain,
( ( ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
| ( sK89_W0 = sK91_SY317 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2286]) ).
thf(2418,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
| ( sK89_W0 = sK91_SY317 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2287]) ).
thf(2419,plain,
( ( ( ~ ( aElement0 @ sK96_SY326 )
| ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2420,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2290]) ).
thf(2421,plain,
( ( ( aNormalFormOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2422,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
| ( xb = sK92_SY327 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2292]) ).
thf(2423,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
| ( xb = sK92_SY327 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2424,plain,
( ( ( ~ ( aElement0 @ sK93_SY335 )
| ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2425,plain,
( ( ( ~ ( aElement0 @ sK87_SY285 )
| ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2426,plain,
( ( ( aElement0 @ sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2427,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2301]) ).
thf(2428,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2429,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2303]) ).
thf(2430,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2304]) ).
thf(2431,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2432,plain,
( ( ( ~ ( aElement0 @ sK76_SY254 )
| ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2433,plain,
( ( ( aElement0 @ sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2310]) ).
thf(2434,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2311]) ).
thf(2435,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2436,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2313]) ).
thf(2437,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2314]) ).
thf(2438,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2439,plain,
( ( ( ~ ( aElement0 @ sK65_SY223 )
| ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2318]) ).
thf(2440,plain,
( ( ( aElement0 @ sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2320]) ).
thf(2441,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2321]) ).
thf(2442,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2443,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2444,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2445,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2446,plain,
( ( ( ~ ( aElement0 @ sK55_SY181 )
| ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2447,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2448,plain,
( ( ( ~ ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2449,plain,
( ( ( sdtmndtasgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2450,plain,
( ( ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
| ( sK46_SY182 = sK47_SY193 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2451,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
| ( sK46_SY182 = sK47_SY193 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2332]) ).
thf(2452,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2453,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2454,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
| ( xc = sK48_SY203 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2335]) ).
thf(2455,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
| ( xc = sK48_SY203 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2336]) ).
thf(2456,plain,
( ( ( ~ ( aElement0 @ sK44_SY150 )
| ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2457,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2458,plain,
( ( ( ~ ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2340]) ).
thf(2459,plain,
( ( ( sdtmndtasgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2341]) ).
thf(2460,plain,
( ( ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
| ( sK35_SY151 = sK36_SY162 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2342]) ).
thf(2461,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
| ( sK35_SY151 = sK36_SY162 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2343]) ).
thf(2462,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2344]) ).
thf(2463,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2345]) ).
thf(2464,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
| ( xc = sK37_SY172 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2346]) ).
thf(2465,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
| ( xc = sK37_SY172 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2466,plain,
( ( ( ~ ( aElement0 @ sK32_SY130 )
| ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2467,plain,
( ( ( aElement0 @ sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2352]) ).
thf(2468,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2353]) ).
thf(2469,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2470,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2355]) ).
thf(2471,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2356]) ).
thf(2472,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2473,plain,
( ( ( ~ ( aElement0 @ sK22_SY88 )
| ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2474,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2475,plain,
( ( ( ~ ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2361]) ).
thf(2476,plain,
( ( ( sdtmndtasgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2362]) ).
thf(2477,plain,
( ( ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
| ( sK13_SY89 = sK14_SY100 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2363]) ).
thf(2478,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
| ( sK13_SY89 = sK14_SY100 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2364]) ).
thf(2479,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2365]) ).
thf(2480,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2366]) ).
thf(2481,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
| ( xc = sK15_SY110 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2367]) ).
thf(2482,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
| ( xc = sK15_SY110 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2368]) ).
thf(2483,plain,
( ( ( ~ ( aElement0 @ sK11_SY57 )
| ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2484,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2485,plain,
( ( ( ~ ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2486,plain,
( ( ( sdtmndtasgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2487,plain,
( ( ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
| ( sK2_SY58 = sK3_SY69 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2488,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
| ( sK2_SY58 = sK3_SY69 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2489,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2376]) ).
thf(2490,plain,
( ( ( sdtmndtasgtdt0 @ xb @ xR @ sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2491,plain,
( ( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
| ( xc = sK4_SY79 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2492,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
| ( xc = sK4_SY79 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2493,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2494,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2495,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2496,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2382]) ).
thf(2497,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2498,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2499,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2500,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2501,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( sdtmndtasgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2387]) ).
thf(2502,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2388]) ).
thf(2503,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2388]) ).
thf(2504,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2389]) ).
thf(2505,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2389]) ).
thf(2506,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2390]) ).
thf(2507,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2390]) ).
thf(2508,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2392]) ).
thf(2509,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2510,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2511,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2394]) ).
thf(2512,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2394]) ).
thf(2513,plain,
! [SV120: $i,SV60: $i,SV69: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2514,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2396]) ).
thf(2515,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2396]) ).
thf(2516,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2397]) ).
thf(2517,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2397]) ).
thf(2518,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2519,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( sdtmndtasgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2520,plain,
! [SV125: $i,SV61: $i,SV70: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2521,plain,
! [SV89: $i,SV8: $i,SV82: $i,SV127: $i] :
( ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( aElement0 @ SY508 )
| ~ ( aReductOfIn0 @ SY508 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SY508 @ xR @ SV89 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2401]) ).
thf(2522,plain,
! [SV97: $i,SV103: $i,SV8: $i,SV130: $i] :
( ( ( ~ ( aElement0 @ SV130 )
| ~ ( aReductOfIn0 @ SV130 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 ) )
= $true )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2402]) ).
thf(2523,plain,
! [SV98: $i,SV104: $i,SV8: $i,SV131: $i] :
( ( ( ~ ( aElement0 @ SV131 )
| ~ ( aReductOfIn0 @ SV131 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 ) )
= $true )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2403]) ).
thf(2524,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2404]) ).
thf(2525,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2404]) ).
thf(2526,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2405]) ).
thf(2527,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2405]) ).
thf(2528,plain,
! [SV105: $i,SV99: $i,SV8: $i,SV128: $i] :
( ( ( ~ ( aElement0 @ SV128 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV128 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 ) )
= $true )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2406]) ).
thf(2529,plain,
! [SV114: $i,SV8: $i,SV121: $i] :
( ( ( aElement0 @ SV121 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( ( SV8 != SV114 ) )
= $true )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2530,plain,
! [SV115: $i,SV8: $i,SV122: $i] :
( ( ( aElement0 @ SV122 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV115 @ SV8 @ xR ) )
= $true )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2408]) ).
thf(2531,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2409]) ).
thf(2532,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2409]) ).
thf(2533,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2534,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2535,plain,
! [SV106: $i,SV100: $i,SV8: $i,SV129: $i] :
( ( ( ~ ( aElement0 @ SV129 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV129 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 ) )
= $true )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2536,plain,
! [SV116: $i,SV8: $i,SV123: $i] :
( ( ( aElement0 @ SV123 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( ( SV8 != SV116 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2412]) ).
thf(2537,plain,
! [SV117: $i,SV8: $i,SV124: $i] :
( ( ( aElement0 @ SV124 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV117 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2538,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2539,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2540,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2541,plain,
( ( ( sdtmndtplgtdt0 @ sK89_W0 @ xR @ sK91_SY317 )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2417]) ).
thf(2542,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
| ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR ) )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2418]) ).
thf(2543,plain,
( ( ( ~ ( aElement0 @ sK96_SY326 ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2544,plain,
( ( ( ~ ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2545,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2546,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK92_SY327 )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2422]) ).
thf(2547,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ xb @ xR ) )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2423]) ).
thf(2548,plain,
( ( ( ~ ( aElement0 @ sK93_SY335 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2549,plain,
( ( ( ~ ( aReductOfIn0 @ sK93_SY335 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2550,plain,
( ( ( ~ ( aElement0 @ sK87_SY285 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2551,plain,
( ( ( ~ ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2552,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2553,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2554,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2555,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2429]) ).
thf(2556,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2430]) ).
thf(2557,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2431]) ).
thf(2558,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2431]) ).
thf(2559,plain,
( ( ( ~ ( aElement0 @ sK76_SY254 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2560,plain,
( ( ( ~ ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2561,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2434]) ).
thf(2562,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2563,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2564,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2565,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2566,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2567,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2568,plain,
( ( ( ~ ( aElement0 @ sK65_SY223 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2439]) ).
thf(2569,plain,
( ( ( ~ ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2439]) ).
thf(2570,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2441]) ).
thf(2571,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2572,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2573,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2574,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2575,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2576,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2577,plain,
( ( ( ~ ( aElement0 @ sK55_SY181 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2578,plain,
( ( ( ~ ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2579,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2447]) ).
thf(2580,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2447]) ).
thf(2581,plain,
( ( ( ~ ( aElement0 @ sK47_SY193 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2582,plain,
( ( ( sdtmndtplgtdt0 @ sK46_SY182 @ xR @ sK47_SY193 )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2450]) ).
thf(2583,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR ) )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2451]) ).
thf(2584,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2585,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK48_SY203 )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2586,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xc @ xR ) )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2455]) ).
thf(2587,plain,
( ( ( ~ ( aElement0 @ sK44_SY150 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2588,plain,
( ( ( ~ ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2589,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2590,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2591,plain,
( ( ( ~ ( aElement0 @ sK36_SY162 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2592,plain,
( ( ( sdtmndtplgtdt0 @ sK35_SY151 @ xR @ sK36_SY162 )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2460]) ).
thf(2593,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR ) )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2594,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2595,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK37_SY172 )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2596,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xc @ xR ) )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2465]) ).
thf(2597,plain,
( ( ( ~ ( aElement0 @ sK32_SY130 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2598,plain,
( ( ( ~ ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2599,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2600,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2469]) ).
thf(2601,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2469]) ).
thf(2602,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2603,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2604,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2605,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2606,plain,
( ( ( ~ ( aElement0 @ sK22_SY88 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2473]) ).
thf(2607,plain,
( ( ( ~ ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2473]) ).
thf(2608,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2474]) ).
thf(2609,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2474]) ).
thf(2610,plain,
( ( ( ~ ( aElement0 @ sK14_SY100 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2611,plain,
( ( ( sdtmndtplgtdt0 @ sK13_SY89 @ xR @ sK14_SY100 )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2477]) ).
thf(2612,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR ) )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2478]) ).
thf(2613,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2614,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK15_SY110 )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2481]) ).
thf(2615,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xc @ xR ) )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2482]) ).
thf(2616,plain,
( ( ( ~ ( aElement0 @ sK11_SY57 ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2483]) ).
thf(2617,plain,
( ( ( ~ ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2483]) ).
thf(2618,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2484]) ).
thf(2619,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2484]) ).
thf(2620,plain,
( ( ( ~ ( aElement0 @ sK3_SY69 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2621,plain,
( ( ( sdtmndtplgtdt0 @ sK2_SY58 @ xR @ sK3_SY69 )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2487]) ).
thf(2622,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR ) )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2488]) ).
thf(2623,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2624,plain,
( ( ( sdtmndtplgtdt0 @ xc @ xR @ sK4_SY79 )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2491]) ).
thf(2625,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xc @ xR ) )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2626,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2493]) ).
thf(2627,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
| ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2494]) ).
thf(2628,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2629,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( aElement0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2497]) ).
thf(2630,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2498]) ).
thf(2631,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2499]) ).
thf(2632,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2633,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2634,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2503]) ).
thf(2635,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2504]) ).
thf(2636,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2505]) ).
thf(2637,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( aElement0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2506]) ).
thf(2638,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2507]) ).
thf(2639,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2508]) ).
thf(2640,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2509]) ).
thf(2641,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( sdtmndtasgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2510]) ).
thf(2642,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2511]) ).
thf(2643,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
| ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2512]) ).
thf(2644,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(2645,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2514]) ).
thf(2646,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( sdtmndtasgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2515]) ).
thf(2647,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2516]) ).
thf(2648,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( sdtmndtasgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2517]) ).
thf(2649,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2518]) ).
thf(2650,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2520]) ).
thf(2651,plain,
! [SV127: $i,SV82: $i,SV89: $i,SV8: $i,SV132: $i] :
( ( ( ~ ( aElement0 @ SV132 )
| ~ ( aReductOfIn0 @ SV132 @ SV8 @ xR )
| ~ ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 ) )
= $true )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2652,plain,
! [SV97: $i,SV103: $i,SV8: $i,SV130: $i] :
( ( ( ~ ( aElement0 @ SV130 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV130 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 ) )
= $true )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2522]) ).
thf(2653,plain,
! [SV98: $i,SV104: $i,SV8: $i,SV131: $i] :
( ( ( ~ ( aElement0 @ SV131 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV131 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 ) )
= $true )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2523]) ).
thf(2654,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2524]) ).
thf(2655,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2525]) ).
thf(2656,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2526]) ).
thf(2657,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( sdtmndtasgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2527]) ).
thf(2658,plain,
! [SV105: $i,SV99: $i,SV8: $i,SV128: $i] :
( ( ( aElement0 @ SV128 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV128 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 ) )
= $true )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2528]) ).
thf(2659,plain,
! [SV121: $i,SV114: $i,SV8: $i] :
( ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( ( SV8 != SV121 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2529]) ).
thf(2660,plain,
! [SV122: $i,SV8: $i,SV115: $i] :
( ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( ( SV8 != SV122 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2530]) ).
thf(2661,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2662,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2532]) ).
thf(2663,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2664,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( sdtmndtasgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2534]) ).
thf(2665,plain,
! [SV106: $i,SV100: $i,SV8: $i,SV129: $i] :
( ( ( aElement0 @ SV129 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV129 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 ) )
= $true )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2535]) ).
thf(2666,plain,
! [SV123: $i,SV116: $i,SV8: $i] :
( ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV123 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2536]) ).
thf(2667,plain,
! [SV124: $i,SV8: $i,SV117: $i] :
( ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV124 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2668,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2669,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $false )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2670,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2671,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2540]) ).
thf(2672,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2542]) ).
thf(2673,plain,
( ( ( aElement0 @ sK96_SY326 )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2674,plain,
( ( ( aReductOfIn0 @ sK96_SY326 @ sK90_SY306 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK90_SY306 @ xR )
= $true )
| ( ( sK90_SY306 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2544]) ).
thf(2675,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2676,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2677,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(2678,plain,
( ( ( aElement0 @ sK93_SY335 )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2548]) ).
thf(2679,plain,
( ( ( aReductOfIn0 @ sK93_SY335 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xc @ xR )
= $true )
| ( ( xc = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2549]) ).
thf(2680,plain,
( ( ( aElement0 @ sK87_SY285 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2550]) ).
thf(2681,plain,
( ( ( aReductOfIn0 @ sK87_SY285 @ sK79_SY275 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = xc )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2551]) ).
thf(2682,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2552]) ).
thf(2683,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2552]) ).
thf(2684,plain,
( ( ( ~ ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2553]) ).
thf(2685,plain,
( ( ( sdtmndtplgtdt0 @ sK85_SY295 @ xR @ sK80_SY286 )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2686,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2555]) ).
thf(2687,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2555]) ).
thf(2688,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2556]) ).
thf(2689,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2556]) ).
thf(2690,plain,
( ( ( ~ ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2557]) ).
thf(2691,plain,
( ( ( sdtmndtplgtdt0 @ sK82_SY304 @ xR @ sK81_SY296 )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2558]) ).
thf(2692,plain,
( ( ( aElement0 @ sK76_SY254 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2559]) ).
thf(2693,plain,
( ( ( aReductOfIn0 @ sK76_SY254 @ sK68_SY244 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = xc )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2560]) ).
thf(2694,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2561]) ).
thf(2695,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2561]) ).
thf(2696,plain,
( ( ( ~ ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2562]) ).
thf(2697,plain,
( ( ( sdtmndtplgtdt0 @ sK74_SY264 @ xR @ sK69_SY255 )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2698,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2699,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2700,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2565]) ).
thf(2701,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2565]) ).
thf(2702,plain,
( ( ( ~ ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2566]) ).
thf(2703,plain,
( ( ( sdtmndtplgtdt0 @ sK71_SY273 @ xR @ sK70_SY265 )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2567]) ).
thf(2704,plain,
( ( ( aElement0 @ sK65_SY223 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2568]) ).
thf(2705,plain,
( ( ( aReductOfIn0 @ sK65_SY223 @ sK57_SY213 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = xc )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2569]) ).
thf(2706,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2570]) ).
thf(2707,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2570]) ).
thf(2708,plain,
( ( ( ~ ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2709,plain,
( ( ( sdtmndtplgtdt0 @ sK63_SY233 @ xR @ sK58_SY224 )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2710,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2711,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2712,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2713,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2714,plain,
( ( ( ~ ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2575]) ).
thf(2715,plain,
( ( ( sdtmndtplgtdt0 @ sK60_SY242 @ xR @ sK59_SY234 )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2576]) ).
thf(2716,plain,
( ( ( aElement0 @ sK55_SY181 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2717,plain,
( ( ( aReductOfIn0 @ sK55_SY181 @ sK45_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = xb )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2718,plain,
( ( ( ~ ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2579]) ).
thf(2719,plain,
( ( ( sdtmndtplgtdt0 @ sK54_SY192 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2580]) ).
thf(2720,plain,
( ( ( ~ ( aElement0 @ sK47_SY193 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2581]) ).
thf(2721,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2581]) ).
thf(2722,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2583]) ).
thf(2723,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2584]) ).
thf(2724,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2584]) ).
thf(2725,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2586]) ).
thf(2726,plain,
( ( ( aElement0 @ sK44_SY150 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2587]) ).
thf(2727,plain,
( ( ( aReductOfIn0 @ sK44_SY150 @ sK34_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = xb )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2588]) ).
thf(2728,plain,
( ( ( ~ ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2589]) ).
thf(2729,plain,
( ( ( sdtmndtplgtdt0 @ sK43_SY161 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2590]) ).
thf(2730,plain,
( ( ( ~ ( aElement0 @ sK36_SY162 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2591]) ).
thf(2731,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2591]) ).
thf(2732,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2593]) ).
thf(2733,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2594]) ).
thf(2734,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2594]) ).
thf(2735,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2596]) ).
thf(2736,plain,
( ( ( aElement0 @ sK32_SY130 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2597]) ).
thf(2737,plain,
( ( ( aReductOfIn0 @ sK32_SY130 @ sK24_SY120 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = xc )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2598]) ).
thf(2738,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2599]) ).
thf(2739,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2599]) ).
thf(2740,plain,
( ( ( ~ ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2600]) ).
thf(2741,plain,
( ( ( sdtmndtplgtdt0 @ sK30_SY140 @ xR @ sK25_SY131 )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2601]) ).
thf(2742,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2743,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2744,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2603]) ).
thf(2745,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2603]) ).
thf(2746,plain,
( ( ( ~ ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2604]) ).
thf(2747,plain,
( ( ( sdtmndtplgtdt0 @ sK27_SY149 @ xR @ sK26_SY141 )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2605]) ).
thf(2748,plain,
( ( ( aElement0 @ sK22_SY88 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2749,plain,
( ( ( aReductOfIn0 @ sK22_SY88 @ sK12_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = xb )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(2750,plain,
( ( ( ~ ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2608]) ).
thf(2751,plain,
( ( ( sdtmndtplgtdt0 @ sK21_SY99 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2752,plain,
( ( ( ~ ( aElement0 @ sK14_SY100 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2753,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2754,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2755,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2613]) ).
thf(2756,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2613]) ).
thf(2757,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2758,plain,
( ( ( aElement0 @ sK11_SY57 )
= $true )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2616]) ).
thf(2759,plain,
( ( ( aReductOfIn0 @ sK11_SY57 @ sK1_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ xb @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = xb )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2617]) ).
thf(2760,plain,
( ( ( ~ ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2618]) ).
thf(2761,plain,
( ( ( sdtmndtplgtdt0 @ sK10_SY68 @ xR @ xc )
= $true )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2619]) ).
thf(2762,plain,
( ( ( ~ ( aElement0 @ sK3_SY69 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2763,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2764,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2765,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2623]) ).
thf(2766,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2623]) ).
thf(2767,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2625]) ).
thf(2768,plain,
! [SV8: $i,SV24: $i,SV23: $i] :
( ( ( sdtmndtplgtdt0 @ SV23 @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2626]) ).
thf(2769,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2627]) ).
thf(2770,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2628]) ).
thf(2771,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2628]) ).
thf(2772,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2630]) ).
thf(2773,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2631]) ).
thf(2774,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2631]) ).
thf(2775,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2776,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2777,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2633]) ).
thf(2778,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2634]) ).
thf(2779,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2780,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2781,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2782,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2783,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2784,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2785,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( sdtmndtplgtdt0 @ SV48 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2642]) ).
thf(2786,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2643]) ).
thf(2787,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2644]) ).
thf(2788,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2644]) ).
thf(2789,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2790,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2647]) ).
thf(2791,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2792,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2793,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2794,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2795,plain,
! [SV127: $i,SV82: $i,SV89: $i,SV8: $i,SV132: $i] :
( ( ( ~ ( aElement0 @ SV132 )
| ~ ( aReductOfIn0 @ SV132 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 ) )
= $true )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2651]) ).
thf(2796,plain,
! [SV97: $i,SV103: $i,SV8: $i,SV130: $i] :
( ( ( aElement0 @ SV130 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV130 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 ) )
= $true )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2797,plain,
! [SV98: $i,SV104: $i,SV8: $i,SV131: $i] :
( ( ( aElement0 @ SV131 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV131 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 ) )
= $true )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2798,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2654]) ).
thf(2799,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2800,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2656]) ).
thf(2801,plain,
! [SV105: $i,SV99: $i,SV8: $i,SV128: $i] :
( ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 ) )
= $true )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2802,plain,
! [SV114: $i,SV121: $i,SV8: $i] :
( ( ( SV8 = SV121 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2659]) ).
thf(2803,plain,
! [SV115: $i,SV122: $i,SV8: $i] :
( ( ( SV8 = SV122 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2660]) ).
thf(2804,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2661]) ).
thf(2805,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2806,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2807,plain,
! [SV106: $i,SV100: $i,SV8: $i,SV129: $i] :
( ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 ) )
= $true )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2808,plain,
! [SV116: $i,SV8: $i,SV123: $i] :
( ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2666]) ).
thf(2809,plain,
! [SV117: $i,SV8: $i,SV124: $i] :
( ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2667]) ).
thf(2810,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2811,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
| ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2669]) ).
thf(2812,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2670]) ).
thf(2813,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2672]) ).
thf(2814,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2815,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK92_SY327 @ xR ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2816,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2677]) ).
thf(2817,plain,
( ( ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
| ( sK78_W0 = sK80_SY286 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2682]) ).
thf(2818,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
| ( sK78_W0 = sK80_SY286 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2683]) ).
thf(2819,plain,
( ( ( ~ ( aElement0 @ sK85_SY295 )
| ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(2820,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2686]) ).
thf(2821,plain,
( ( ( aNormalFormOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2687]) ).
thf(2822,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
| ( xb = sK81_SY296 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2688]) ).
thf(2823,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
| ( xb = sK81_SY296 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2689]) ).
thf(2824,plain,
( ( ( ~ ( aElement0 @ sK82_SY304 )
| ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(2825,plain,
( ( ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
| ( sK67_W0 = sK69_SY255 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2694]) ).
thf(2826,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
| ( sK67_W0 = sK69_SY255 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2695]) ).
thf(2827,plain,
( ( ( ~ ( aElement0 @ sK74_SY264 )
| ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(2828,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2698]) ).
thf(2829,plain,
( ( ( aNormalFormOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2699]) ).
thf(2830,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
| ( xb = sK70_SY265 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2700]) ).
thf(2831,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
| ( xb = sK70_SY265 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2701]) ).
thf(2832,plain,
( ( ( ~ ( aElement0 @ sK71_SY273 )
| ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2702]) ).
thf(2833,plain,
( ( ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
| ( sK56_W0 = sK58_SY224 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2706]) ).
thf(2834,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
| ( sK56_W0 = sK58_SY224 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2707]) ).
thf(2835,plain,
( ( ( ~ ( aElement0 @ sK63_SY233 )
| ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2836,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2710]) ).
thf(2837,plain,
( ( ( aNormalFormOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2711]) ).
thf(2838,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
| ( xb = sK59_SY234 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2712]) ).
thf(2839,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
| ( xb = sK59_SY234 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2713]) ).
thf(2840,plain,
( ( ( ~ ( aElement0 @ sK60_SY242 )
| ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(2841,plain,
( ( ( ~ ( aElement0 @ sK54_SY192 )
| ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(2842,plain,
( ( ( aElement0 @ sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2720]) ).
thf(2843,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(2844,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2722]) ).
thf(2845,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2723]) ).
thf(2846,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2724]) ).
thf(2847,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2848,plain,
( ( ( ~ ( aElement0 @ sK43_SY161 )
| ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2849,plain,
( ( ( aElement0 @ sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2730]) ).
thf(2850,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2731]) ).
thf(2851,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(2852,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2733]) ).
thf(2853,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2734]) ).
thf(2854,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(2855,plain,
( ( ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
| ( sK23_W0 = sK25_SY131 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2738]) ).
thf(2856,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
| ( sK23_W0 = sK25_SY131 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2739]) ).
thf(2857,plain,
( ( ( ~ ( aElement0 @ sK30_SY140 )
| ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2740]) ).
thf(2858,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2859,plain,
( ( ( aNormalFormOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(2860,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
| ( xb = sK26_SY141 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2744]) ).
thf(2861,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
| ( xb = sK26_SY141 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2862,plain,
( ( ( ~ ( aElement0 @ sK27_SY149 )
| ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2746]) ).
thf(2863,plain,
( ( ( ~ ( aElement0 @ sK21_SY99 )
| ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2750]) ).
thf(2864,plain,
( ( ( aElement0 @ sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2752]) ).
thf(2865,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2866,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2754]) ).
thf(2867,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2755]) ).
thf(2868,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2756]) ).
thf(2869,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2757]) ).
thf(2870,plain,
( ( ( ~ ( aElement0 @ sK10_SY68 )
| ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2760]) ).
thf(2871,plain,
( ( ( aElement0 @ sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2762]) ).
thf(2872,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2763]) ).
thf(2873,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2764]) ).
thf(2874,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2765]) ).
thf(2875,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2766]) ).
thf(2876,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(2877,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2769]) ).
thf(2878,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( aElement0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2770]) ).
thf(2879,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( aReductOfIn0 @ ( sK185_SY385 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV24 @ xR )
= $true )
| ( ( SV24
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2771]) ).
thf(2880,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2772]) ).
thf(2881,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2772]) ).
thf(2882,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2773]) ).
thf(2883,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2774]) ).
thf(2884,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2775]) ).
thf(2885,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2776]) ).
thf(2886,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2777]) ).
thf(2887,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2777]) ).
thf(2888,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2778]) ).
thf(2889,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2778]) ).
thf(2890,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2779]) ).
thf(2891,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2779]) ).
thf(2892,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2780]) ).
thf(2893,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2780]) ).
thf(2894,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2781]) ).
thf(2895,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2781]) ).
thf(2896,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2782]) ).
thf(2897,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2783]) ).
thf(2898,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2784]) ).
thf(2899,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2784]) ).
thf(2900,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2786]) ).
thf(2901,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2787]) ).
thf(2902,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( sdtmndtasgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2788]) ).
thf(2903,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2789]) ).
thf(2904,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2789]) ).
thf(2905,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2790]) ).
thf(2906,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2790]) ).
thf(2907,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2791]) ).
thf(2908,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2792]) ).
thf(2909,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2793]) ).
thf(2910,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( sdtmndtasgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2794]) ).
thf(2911,plain,
! [SV127: $i,SV82: $i,SV89: $i,SV8: $i,SV132: $i] :
( ( ( ~ ( aElement0 @ SV132 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV132 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 ) )
= $true )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2795]) ).
thf(2912,plain,
! [SV97: $i,SV103: $i,SV8: $i,SV130: $i] :
( ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 ) )
= $true )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(2913,plain,
! [SV98: $i,SV104: $i,SV8: $i,SV131: $i] :
( ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 ) )
= $true )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2797]) ).
thf(2914,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2915,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2916,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2917,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2918,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2919,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2920,plain,
! [SV105: $i,SV8: $i,SV99: $i,SV128: $i] :
( ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( ( SV8 != SV105 ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(2921,plain,
! [SV114: $i,SV121: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(2922,plain,
! [SV115: $i,SV122: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2803]) ).
thf(2923,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2804]) ).
thf(2924,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2804]) ).
thf(2925,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2805]) ).
thf(2926,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2805]) ).
thf(2927,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2806]) ).
thf(2928,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2806]) ).
thf(2929,plain,
! [SV106: $i,SV8: $i,SV100: $i,SV129: $i] :
( ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV106 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2807]) ).
thf(2930,plain,
! [SV116: $i,SV123: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2808]) ).
thf(2931,plain,
! [SV117: $i,SV124: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2809]) ).
thf(2932,plain,
! [SV28: $i,SV35: $i,SV32: $i] :
( ( ( sdtmndtplgtdt0 @ SV32 @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2810]) ).
thf(2933,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
| ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2811]) ).
thf(2934,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(2935,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(2936,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2813]) ).
thf(2937,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2813]) ).
thf(2938,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2814]) ).
thf(2939,plain,
! [SV133: $i] :
( ( ( ~ ( aReductOfIn0 @ SV133 @ sK92_SY327 @ xR ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2815]) ).
thf(2940,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2816]) ).
thf(2941,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2816]) ).
thf(2942,plain,
( ( ( sdtmndtplgtdt0 @ sK78_W0 @ xR @ sK80_SY286 )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(2943,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
| ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR ) )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(2944,plain,
( ( ( ~ ( aElement0 @ sK85_SY295 ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2819]) ).
thf(2945,plain,
( ( ( ~ ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2819]) ).
thf(2946,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2820]) ).
thf(2947,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK81_SY296 )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(2948,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ xb @ xR ) )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(2949,plain,
( ( ( ~ ( aElement0 @ sK82_SY304 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(2950,plain,
( ( ( ~ ( aReductOfIn0 @ sK82_SY304 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(2951,plain,
( ( ( sdtmndtplgtdt0 @ sK67_W0 @ xR @ sK69_SY255 )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2952,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
| ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR ) )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2953,plain,
( ( ( ~ ( aElement0 @ sK74_SY264 ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2827]) ).
thf(2954,plain,
( ( ( ~ ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2827]) ).
thf(2955,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2956,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK70_SY265 )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2830]) ).
thf(2957,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ xb @ xR ) )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2831]) ).
thf(2958,plain,
( ( ( ~ ( aElement0 @ sK71_SY273 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2832]) ).
thf(2959,plain,
( ( ( ~ ( aReductOfIn0 @ sK71_SY273 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2832]) ).
thf(2960,plain,
( ( ( sdtmndtplgtdt0 @ sK56_W0 @ xR @ sK58_SY224 )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(2961,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
| ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR ) )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(2962,plain,
( ( ( ~ ( aElement0 @ sK63_SY233 ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2835]) ).
thf(2963,plain,
( ( ( ~ ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2835]) ).
thf(2964,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(2965,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK59_SY234 )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2838]) ).
thf(2966,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ xb @ xR ) )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2839]) ).
thf(2967,plain,
( ( ( ~ ( aElement0 @ sK60_SY242 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2968,plain,
( ( ( ~ ( aReductOfIn0 @ sK60_SY242 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2969,plain,
( ( ( ~ ( aElement0 @ sK54_SY192 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2841]) ).
thf(2970,plain,
( ( ( ~ ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2841]) ).
thf(2971,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2972,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2844]) ).
thf(2973,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2844]) ).
thf(2974,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2845]) ).
thf(2975,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2846]) ).
thf(2976,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2847]) ).
thf(2977,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2847]) ).
thf(2978,plain,
( ( ( ~ ( aElement0 @ sK43_SY161 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2848]) ).
thf(2979,plain,
( ( ( ~ ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2848]) ).
thf(2980,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2850]) ).
thf(2981,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(2982,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(2983,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2852]) ).
thf(2984,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(2985,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2854]) ).
thf(2986,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2854]) ).
thf(2987,plain,
( ( ( sdtmndtplgtdt0 @ sK23_W0 @ xR @ sK25_SY131 )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(2988,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
| ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR ) )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(2989,plain,
( ( ( ~ ( aElement0 @ sK30_SY140 ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2857]) ).
thf(2990,plain,
( ( ( ~ ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2857]) ).
thf(2991,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2858]) ).
thf(2992,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK26_SY141 )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(2993,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ xb @ xR ) )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(2994,plain,
( ( ( ~ ( aElement0 @ sK27_SY149 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2862]) ).
thf(2995,plain,
( ( ( ~ ( aReductOfIn0 @ sK27_SY149 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2862]) ).
thf(2996,plain,
( ( ( ~ ( aElement0 @ sK21_SY99 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2863]) ).
thf(2997,plain,
( ( ( ~ ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2863]) ).
thf(2998,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2865]) ).
thf(2999,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2866]) ).
thf(3000,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2866]) ).
thf(3001,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2867]) ).
thf(3002,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2868]) ).
thf(3003,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(3004,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(3005,plain,
( ( ( ~ ( aElement0 @ sK10_SY68 ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(3006,plain,
( ( ( ~ ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(3007,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(3008,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(3009,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(3010,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
| ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(3011,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(3012,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(3013,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(3014,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2877]) ).
thf(3015,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2880]) ).
thf(3016,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
| ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2881]) ).
thf(3017,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2882]) ).
thf(3018,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(3019,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2885]) ).
thf(3020,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2886]) ).
thf(3021,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( sdtmndtasgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2887]) ).
thf(3022,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(3023,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
| ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2889]) ).
thf(3024,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2890]) ).
thf(3025,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( sdtmndtasgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2891]) ).
thf(3026,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2892]) ).
thf(3027,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
| ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2893]) ).
thf(3028,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2894]) ).
thf(3029,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
| ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2895]) ).
thf(3030,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2896]) ).
thf(3031,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( aElement0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2898]) ).
thf(3032,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2899]) ).
thf(3033,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3034,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(3035,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2903]) ).
thf(3036,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2904]) ).
thf(3037,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2905]) ).
thf(3038,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2906]) ).
thf(3039,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3040,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(3041,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2909]) ).
thf(3042,plain,
! [SV127: $i,SV82: $i,SV89: $i,SV8: $i,SV132: $i] :
( ( ( aElement0 @ SV132 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV132 @ SV8 @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 ) )
= $true )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2911]) ).
thf(3043,plain,
! [SV97: $i,SV8: $i,SV103: $i,SV130: $i] :
( ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(3044,plain,
! [SV98: $i,SV8: $i,SV104: $i,SV131: $i] :
( ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2913]) ).
thf(3045,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2914]) ).
thf(3046,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( sdtmndtasgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2915]) ).
thf(3047,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2916]) ).
thf(3048,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
| ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(3049,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2918]) ).
thf(3050,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2919]) ).
thf(3051,plain,
! [SV128: $i,SV99: $i,SV105: $i,SV8: $i] :
( ( ( SV8 = SV105 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2920]) ).
thf(3052,plain,
! [SV114: $i,SV121: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(3053,plain,
! [SV115: $i,SV122: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(3054,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2923]) ).
thf(3055,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( sdtmndtasgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2924]) ).
thf(3056,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2925]) ).
thf(3057,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
| ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2926]) ).
thf(3058,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2927]) ).
thf(3059,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2928]) ).
thf(3060,plain,
! [SV129: $i,SV100: $i,SV8: $i,SV106: $i] :
( ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2929]) ).
thf(3061,plain,
! [SV116: $i,SV123: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2930]) ).
thf(3062,plain,
! [SV117: $i,SV124: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2931]) ).
thf(3063,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2933]) ).
thf(3064,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( aElement0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2934]) ).
thf(3065,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( aReductOfIn0 @ ( sK188_SY387 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV35 @ xR )
= $true )
| ( ( SV35
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2935]) ).
thf(3066,plain,
( ( ( ~ ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2936]) ).
thf(3067,plain,
( ( ( sdtmndtplgtdt0 @ sK97_SY325 @ xR @ sK91_SY317 )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2937]) ).
thf(3068,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2938]) ).
thf(3069,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2938]) ).
thf(3070,plain,
! [SV133: $i] :
( ( ( aReductOfIn0 @ SV133 @ sK92_SY327 @ xR )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(3071,plain,
( ( ( ~ ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2940]) ).
thf(3072,plain,
( ( ( sdtmndtplgtdt0 @ sK94_SY334 @ xR @ sK92_SY327 )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2941]) ).
thf(3073,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2943]) ).
thf(3074,plain,
( ( ( aElement0 @ sK85_SY295 )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2944]) ).
thf(3075,plain,
( ( ( aReductOfIn0 @ sK85_SY295 @ sK79_SY275 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK79_SY275 @ xR )
= $true )
| ( ( sK79_SY275 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2945]) ).
thf(3076,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2946]) ).
thf(3077,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2946]) ).
thf(3078,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3079,plain,
( ( ( aElement0 @ sK82_SY304 )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2949]) ).
thf(3080,plain,
( ( ( aReductOfIn0 @ sK82_SY304 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xc @ xR )
= $true )
| ( ( xc = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2950]) ).
thf(3081,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(3082,plain,
( ( ( aElement0 @ sK74_SY264 )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(3083,plain,
( ( ( aReductOfIn0 @ sK74_SY264 @ sK68_SY244 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK68_SY244 @ xR )
= $true )
| ( ( sK68_SY244 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2954]) ).
thf(3084,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(3085,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(3086,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(3087,plain,
( ( ( aElement0 @ sK71_SY273 )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2958]) ).
thf(3088,plain,
( ( ( aReductOfIn0 @ sK71_SY273 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xc @ xR )
= $true )
| ( ( xc = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2959]) ).
thf(3089,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2961]) ).
thf(3090,plain,
( ( ( aElement0 @ sK63_SY233 )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2962]) ).
thf(3091,plain,
( ( ( aReductOfIn0 @ sK63_SY233 @ sK57_SY213 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK57_SY213 @ xR )
= $true )
| ( ( sK57_SY213 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(3092,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2964]) ).
thf(3093,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2964]) ).
thf(3094,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2966]) ).
thf(3095,plain,
( ( ( aElement0 @ sK60_SY242 )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2967]) ).
thf(3096,plain,
( ( ( aReductOfIn0 @ sK60_SY242 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xc @ xR )
= $true )
| ( ( xc = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2968]) ).
thf(3097,plain,
( ( ( aElement0 @ sK54_SY192 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2969]) ).
thf(3098,plain,
( ( ( aReductOfIn0 @ sK54_SY192 @ sK46_SY182 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = xc )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2970]) ).
thf(3099,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3100,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3101,plain,
( ( ( ~ ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2972]) ).
thf(3102,plain,
( ( ( sdtmndtplgtdt0 @ sK52_SY202 @ xR @ sK47_SY193 )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2973]) ).
thf(3103,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2974]) ).
thf(3104,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2974]) ).
thf(3105,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2975]) ).
thf(3106,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2975]) ).
thf(3107,plain,
( ( ( ~ ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2976]) ).
thf(3108,plain,
( ( ( sdtmndtplgtdt0 @ sK49_SY211 @ xR @ sK48_SY203 )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2977]) ).
thf(3109,plain,
( ( ( aElement0 @ sK43_SY161 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2978]) ).
thf(3110,plain,
( ( ( aReductOfIn0 @ sK43_SY161 @ sK35_SY151 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = xc )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2979]) ).
thf(3111,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3112,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3113,plain,
( ( ( ~ ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2981]) ).
thf(3114,plain,
( ( ( sdtmndtplgtdt0 @ sK41_SY171 @ xR @ sK36_SY162 )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2982]) ).
thf(3115,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3116,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3117,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3118,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3119,plain,
( ( ( ~ ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2985]) ).
thf(3120,plain,
( ( ( sdtmndtplgtdt0 @ sK38_SY180 @ xR @ sK37_SY172 )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2986]) ).
thf(3121,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2988]) ).
thf(3122,plain,
( ( ( aElement0 @ sK30_SY140 )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2989]) ).
thf(3123,plain,
( ( ( aReductOfIn0 @ sK30_SY140 @ sK24_SY120 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK24_SY120 @ xR )
= $true )
| ( ( sK24_SY120 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2990]) ).
thf(3124,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2991]) ).
thf(3125,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2991]) ).
thf(3126,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3127,plain,
( ( ( aElement0 @ sK27_SY149 )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2994]) ).
thf(3128,plain,
( ( ( aReductOfIn0 @ sK27_SY149 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xc @ xR )
= $true )
| ( ( xc = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2995]) ).
thf(3129,plain,
( ( ( aElement0 @ sK21_SY99 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2996]) ).
thf(3130,plain,
( ( ( aReductOfIn0 @ sK21_SY99 @ sK13_SY89 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = xc )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2997]) ).
thf(3131,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2998]) ).
thf(3132,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[2998]) ).
thf(3133,plain,
( ( ( ~ ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3134,plain,
( ( ( sdtmndtplgtdt0 @ sK19_SY109 @ xR @ sK14_SY100 )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3000]) ).
thf(3135,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3001]) ).
thf(3136,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3001]) ).
thf(3137,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3002]) ).
thf(3138,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3002]) ).
thf(3139,plain,
( ( ( ~ ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3003]) ).
thf(3140,plain,
( ( ( sdtmndtplgtdt0 @ sK16_SY118 @ xR @ sK15_SY110 )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3004]) ).
thf(3141,plain,
( ( ( aElement0 @ sK10_SY68 )
= $true )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3005]) ).
thf(3142,plain,
( ( ( aReductOfIn0 @ sK10_SY68 @ sK2_SY58 @ xR )
= $true )
| ( ( aReductOfIn0 @ xc @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = xc )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3006]) ).
thf(3143,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3007]) ).
thf(3144,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3007]) ).
thf(3145,plain,
( ( ( ~ ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3008]) ).
thf(3146,plain,
( ( ( sdtmndtplgtdt0 @ sK8_SY78 @ xR @ sK3_SY69 )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3009]) ).
thf(3147,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3010]) ).
thf(3148,plain,
( ( ( ~ ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3010]) ).
thf(3149,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3011]) ).
thf(3150,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3011]) ).
thf(3151,plain,
( ( ( ~ ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3012]) ).
thf(3152,plain,
( ( ( sdtmndtplgtdt0 @ sK5_SY87 @ xR @ sK4_SY79 )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3013]) ).
thf(3153,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3014]) ).
thf(3154,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3014]) ).
thf(3155,plain,
! [SV8: $i,SV33: $i,SV29: $i] :
( ( ( sdtmndtplgtdt0 @ SV29 @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3015]) ).
thf(3156,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3157,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3017]) ).
thf(3158,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3017]) ).
thf(3159,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3018]) ).
thf(3160,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3018]) ).
thf(3161,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3019]) ).
thf(3162,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3019]) ).
thf(3163,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3164,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( sdtmndtplgtdt0 @ SV67 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3165,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3166,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3167,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( sdtmndtplgtdt0 @ SV68 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3168,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3027]) ).
thf(3169,plain,
! [SV8: $i,SV34: $i,SV30: $i] :
( ( ( sdtmndtplgtdt0 @ SV30 @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3170,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3171,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3030]) ).
thf(3172,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3030]) ).
thf(3173,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3174,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3033]) ).
thf(3175,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3033]) ).
thf(3176,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3034]) ).
thf(3177,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3034]) ).
thf(3178,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3179,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3180,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3181,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3182,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3039]) ).
thf(3183,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3039]) ).
thf(3184,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3185,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3186,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3041]) ).
thf(3187,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3041]) ).
thf(3188,plain,
! [SV127: $i,SV82: $i,SV89: $i,SV8: $i,SV132: $i] :
( ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 ) )
= $true )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3189,plain,
! [SV130: $i,SV97: $i,SV103: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3190,plain,
! [SV131: $i,SV98: $i,SV104: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3044]) ).
thf(3191,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3192,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( sdtmndtplgtdt0 @ SV71 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3047]) ).
thf(3193,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3048]) ).
thf(3194,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3195,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3196,plain,
! [SV128: $i,SV99: $i,SV105: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3051]) ).
thf(3197,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3198,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3053]) ).
thf(3199,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3054]) ).
thf(3200,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( sdtmndtplgtdt0 @ SV72 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3056]) ).
thf(3201,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3202,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3058]) ).
thf(3203,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3204,plain,
! [SV129: $i,SV100: $i,SV106: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3060]) ).
thf(3205,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3206,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3062]) ).
thf(3207,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3208,plain,
( ( ( ~ ( aElement0 @ sK97_SY325 )
| ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3209,plain,
( ( ( ~ ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3068]) ).
thf(3210,plain,
( ( ( sdtmndtasgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3069]) ).
thf(3211,plain,
( ( ( ~ ( aElement0 @ sK94_SY334 )
| ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3212,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3213,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3076]) ).
thf(3214,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK81_SY296 @ xR ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3215,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3216,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3217,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3084]) ).
thf(3218,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK70_SY265 @ xR ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3085]) ).
thf(3219,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3220,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3221,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3092]) ).
thf(3222,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK59_SY234 @ xR ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3093]) ).
thf(3223,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3224,plain,
( ( ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
| ( sK45_W0 = sK47_SY193 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3099]) ).
thf(3225,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
| ( sK45_W0 = sK47_SY193 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3226,plain,
( ( ( ~ ( aElement0 @ sK52_SY202 )
| ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3101]) ).
thf(3227,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3103]) ).
thf(3228,plain,
( ( ( aNormalFormOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3104]) ).
thf(3229,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
| ( xb = sK48_SY203 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3105]) ).
thf(3230,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
| ( xb = sK48_SY203 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3106]) ).
thf(3231,plain,
( ( ( ~ ( aElement0 @ sK49_SY211 )
| ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3232,plain,
( ( ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
| ( sK34_W0 = sK36_SY162 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3233,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
| ( sK34_W0 = sK36_SY162 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3112]) ).
thf(3234,plain,
( ( ( ~ ( aElement0 @ sK41_SY171 )
| ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3113]) ).
thf(3235,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3115]) ).
thf(3236,plain,
( ( ( aNormalFormOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3116]) ).
thf(3237,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
| ( xb = sK37_SY172 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3117]) ).
thf(3238,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
| ( xb = sK37_SY172 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3118]) ).
thf(3239,plain,
( ( ( ~ ( aElement0 @ sK38_SY180 )
| ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3240,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3241,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3124]) ).
thf(3242,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK26_SY141 @ xR ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3125]) ).
thf(3243,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3244,plain,
( ( ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
| ( sK12_W0 = sK14_SY100 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3131]) ).
thf(3245,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
| ( sK12_W0 = sK14_SY100 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3132]) ).
thf(3246,plain,
( ( ( ~ ( aElement0 @ sK19_SY109 )
| ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3247,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3135]) ).
thf(3248,plain,
( ( ( aNormalFormOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3136]) ).
thf(3249,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
| ( xb = sK15_SY110 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3137]) ).
thf(3250,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
| ( xb = sK15_SY110 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3138]) ).
thf(3251,plain,
( ( ( ~ ( aElement0 @ sK16_SY118 )
| ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3139]) ).
thf(3252,plain,
( ( ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
| ( sK1_W0 = sK3_SY69 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3253,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
| ( sK1_W0 = sK3_SY69 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3144]) ).
thf(3254,plain,
( ( ( ~ ( aElement0 @ sK8_SY78 )
| ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3255,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3147]) ).
thf(3256,plain,
( ( ( aNormalFormOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3148]) ).
thf(3257,plain,
( ( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
| ( xb = sK4_SY79 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3149]) ).
thf(3258,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
| ( xb = sK4_SY79 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3150]) ).
thf(3259,plain,
( ( ( ~ ( aElement0 @ sK5_SY87 )
| ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3260,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3153]) ).
thf(3261,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ xR @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3154]) ).
thf(3262,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3156]) ).
thf(3263,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( aElement0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3157]) ).
thf(3264,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( aReductOfIn0 @ ( sK182_SY383 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV33 @ xR )
= $true )
| ( ( SV33
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3158]) ).
thf(3265,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3159]) ).
thf(3266,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( sdtmndtasgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3160]) ).
thf(3267,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3161]) ).
thf(3268,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
| ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3162]) ).
thf(3269,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3270,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3271,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3165]) ).
thf(3272,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3166]) ).
thf(3273,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3166]) ).
thf(3274,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3275,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3170]) ).
thf(3276,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( aElement0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3171]) ).
thf(3277,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( aReductOfIn0 @ ( sK170_SY375 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV34 @ xR )
= $true )
| ( ( SV34
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3172]) ).
thf(3278,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3173]) ).
thf(3279,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3173]) ).
thf(3280,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3174]) ).
thf(3281,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3175]) ).
thf(3282,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3283,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3177]) ).
thf(3284,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3285,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3286,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3179]) ).
thf(3287,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3179]) ).
thf(3288,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3180]) ).
thf(3289,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3180]) ).
thf(3290,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3181]) ).
thf(3291,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3181]) ).
thf(3292,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3182]) ).
thf(3293,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( sdtmndtasgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3294,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3184]) ).
thf(3295,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
| ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3185]) ).
thf(3296,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3186]) ).
thf(3297,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3187]) ).
thf(3298,plain,
! [SV127: $i,SV82: $i,SV8: $i,SV89: $i,SV132: $i] :
( ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( ~ ( iLess0 @ SV8 @ xa )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3299,plain,
! [SV130: $i,SV97: $i,SV103: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3300,plain,
! [SV131: $i,SV98: $i,SV104: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3190]) ).
thf(3301,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3191]) ).
thf(3302,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3191]) ).
thf(3303,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3193]) ).
thf(3304,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3194]) ).
thf(3305,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3194]) ).
thf(3306,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3195]) ).
thf(3307,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3195]) ).
thf(3308,plain,
! [SV128: $i,SV99: $i,SV105: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3309,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3197]) ).
thf(3310,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3197]) ).
thf(3311,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3198]) ).
thf(3312,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3198]) ).
thf(3313,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3199]) ).
thf(3314,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3199]) ).
thf(3315,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3201]) ).
thf(3316,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3202]) ).
thf(3317,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3202]) ).
thf(3318,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3203]) ).
thf(3319,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3203]) ).
thf(3320,plain,
! [SV129: $i,SV100: $i,SV106: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3204]) ).
thf(3321,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3205]) ).
thf(3322,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3205]) ).
thf(3323,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3206]) ).
thf(3324,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3206]) ).
thf(3325,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3326,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3327,plain,
( ( ( ~ ( aElement0 @ sK97_SY325 ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3208]) ).
thf(3328,plain,
( ( ( ~ ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3208]) ).
thf(3329,plain,
( ( ( ~ ( aElement0 @ sK92_SY327 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3330,plain,
( ( ( ~ ( aElement0 @ sK94_SY334 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3211]) ).
thf(3331,plain,
( ( ( ~ ( aReductOfIn0 @ sK94_SY334 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3211]) ).
thf(3332,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3212]) ).
thf(3333,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3212]) ).
thf(3334,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3335,plain,
! [SV134: $i] :
( ( ( ~ ( aReductOfIn0 @ SV134 @ sK81_SY296 @ xR ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3214]) ).
thf(3336,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3337,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3338,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3339,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3340,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3217]) ).
thf(3341,plain,
! [SV135: $i] :
( ( ( ~ ( aReductOfIn0 @ SV135 @ sK70_SY265 @ xR ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3218]) ).
thf(3342,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3219]) ).
thf(3343,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3219]) ).
thf(3344,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3220]) ).
thf(3345,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3220]) ).
thf(3346,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3347,plain,
! [SV136: $i] :
( ( ( ~ ( aReductOfIn0 @ SV136 @ sK59_SY234 @ xR ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3348,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3223]) ).
thf(3349,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3223]) ).
thf(3350,plain,
( ( ( sdtmndtplgtdt0 @ sK45_W0 @ xR @ sK47_SY193 )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3224]) ).
thf(3351,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
| ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR ) )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3225]) ).
thf(3352,plain,
( ( ( ~ ( aElement0 @ sK52_SY202 ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3226]) ).
thf(3353,plain,
( ( ( ~ ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3226]) ).
thf(3354,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3355,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK48_SY203 )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3229]) ).
thf(3356,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ xb @ xR ) )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3230]) ).
thf(3357,plain,
( ( ( ~ ( aElement0 @ sK49_SY211 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3231]) ).
thf(3358,plain,
( ( ( ~ ( aReductOfIn0 @ sK49_SY211 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3231]) ).
thf(3359,plain,
( ( ( sdtmndtplgtdt0 @ sK34_W0 @ xR @ sK36_SY162 )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3232]) ).
thf(3360,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
| ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR ) )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3233]) ).
thf(3361,plain,
( ( ( ~ ( aElement0 @ sK41_SY171 ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3234]) ).
thf(3362,plain,
( ( ( ~ ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3234]) ).
thf(3363,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3364,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK37_SY172 )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3237]) ).
thf(3365,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ xb @ xR ) )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3366,plain,
( ( ( ~ ( aElement0 @ sK38_SY180 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3239]) ).
thf(3367,plain,
( ( ( ~ ( aReductOfIn0 @ sK38_SY180 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3239]) ).
thf(3368,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3240]) ).
thf(3369,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3240]) ).
thf(3370,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3371,plain,
! [SV137: $i] :
( ( ( ~ ( aReductOfIn0 @ SV137 @ sK26_SY141 @ xR ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3242]) ).
thf(3372,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3243]) ).
thf(3373,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3243]) ).
thf(3374,plain,
( ( ( sdtmndtplgtdt0 @ sK12_W0 @ xR @ sK14_SY100 )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3244]) ).
thf(3375,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
| ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR ) )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3245]) ).
thf(3376,plain,
( ( ( ~ ( aElement0 @ sK19_SY109 ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3246]) ).
thf(3377,plain,
( ( ( ~ ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3246]) ).
thf(3378,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3247]) ).
thf(3379,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK15_SY110 )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3249]) ).
thf(3380,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ xb @ xR ) )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3250]) ).
thf(3381,plain,
( ( ( ~ ( aElement0 @ sK16_SY118 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3251]) ).
thf(3382,plain,
( ( ( ~ ( aReductOfIn0 @ sK16_SY118 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3251]) ).
thf(3383,plain,
( ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ sK3_SY69 )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3252]) ).
thf(3384,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
| ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR ) )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3253]) ).
thf(3385,plain,
( ( ( ~ ( aElement0 @ sK8_SY78 ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3254]) ).
thf(3386,plain,
( ( ( ~ ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3254]) ).
thf(3387,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
| ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3388,plain,
( ( ( sdtmndtplgtdt0 @ xb @ xR @ sK4_SY79 )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3257]) ).
thf(3389,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ xb @ xR ) )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3258]) ).
thf(3390,plain,
( ( ( ~ ( aElement0 @ sK5_SY87 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3391,plain,
( ( ( ~ ( aReductOfIn0 @ sK5_SY87 @ xc @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3392,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3260]) ).
thf(3393,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3262]) ).
thf(3394,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3265]) ).
thf(3395,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( sdtmndtplgtdt0 @ SV47 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3267]) ).
thf(3396,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3268]) ).
thf(3397,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( aElement0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3269]) ).
thf(3398,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3270]) ).
thf(3399,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3400,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( aElement0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3272]) ).
thf(3401,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3273]) ).
thf(3402,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3403,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3275]) ).
thf(3404,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3278]) ).
thf(3405,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
| ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3279]) ).
thf(3406,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3280]) ).
thf(3407,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3408,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3283]) ).
thf(3409,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3284]) ).
thf(3410,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( sdtmndtasgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3285]) ).
thf(3411,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3286]) ).
thf(3412,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
| ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3287]) ).
thf(3413,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3288]) ).
thf(3414,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( sdtmndtasgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3289]) ).
thf(3415,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3290]) ).
thf(3416,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
| ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3291]) ).
thf(3417,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3418,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( sdtmndtplgtdt0 @ SV49 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3294]) ).
thf(3419,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3295]) ).
thf(3420,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3296]) ).
thf(3421,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3297]) ).
thf(3422,plain,
! [SV132: $i,SV127: $i,SV82: $i,SV89: $i,SV8: $i] :
( ( ( ~ ( iLess0 @ SV8 @ xa ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3423,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3299]) ).
thf(3424,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3300]) ).
thf(3425,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( aElement0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3426,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3302]) ).
thf(3427,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3303]) ).
thf(3428,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3304]) ).
thf(3429,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( sdtmndtasgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3305]) ).
thf(3430,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3306]) ).
thf(3431,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
| ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3307]) ).
thf(3432,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3433,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3309]) ).
thf(3434,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( sdtmndtasgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3310]) ).
thf(3435,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3311]) ).
thf(3436,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( sdtmndtasgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3312]) ).
thf(3437,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( aElement0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3313]) ).
thf(3438,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3314]) ).
thf(3439,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3440,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3316]) ).
thf(3441,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( sdtmndtasgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3317]) ).
thf(3442,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3318]) ).
thf(3443,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
| ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3319]) ).
thf(3444,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3445,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3321]) ).
thf(3446,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( sdtmndtasgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3322]) ).
thf(3447,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3323]) ).
thf(3448,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( sdtmndtasgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3324]) ).
thf(3449,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3325]) ).
thf(3450,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ xR @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3451,plain,
( ( ( aElement0 @ sK97_SY325 )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3327]) ).
thf(3452,plain,
( ( ( aReductOfIn0 @ sK97_SY325 @ sK89_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK91_SY317 @ sK89_W0 @ xR )
= $true )
| ( ( sK89_W0 = sK91_SY317 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3328]) ).
thf(3453,plain,
( ( ( ~ ( aElement0 @ sK92_SY327 ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3329]) ).
thf(3454,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3329]) ).
thf(3455,plain,
( ( ( aElement0 @ sK94_SY334 )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3330]) ).
thf(3456,plain,
( ( ( aReductOfIn0 @ sK94_SY334 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ xb @ xR )
= $true )
| ( ( xb = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3331]) ).
thf(3457,plain,
( ( ( ~ ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3332]) ).
thf(3458,plain,
( ( ( sdtmndtplgtdt0 @ sK86_SY294 @ xR @ sK80_SY286 )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3333]) ).
thf(3459,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3334]) ).
thf(3460,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3334]) ).
thf(3461,plain,
! [SV134: $i] :
( ( ( aReductOfIn0 @ SV134 @ sK81_SY296 @ xR )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3335]) ).
thf(3462,plain,
( ( ( ~ ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3336]) ).
thf(3463,plain,
( ( ( sdtmndtplgtdt0 @ sK83_SY303 @ xR @ sK81_SY296 )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3337]) ).
thf(3464,plain,
( ( ( ~ ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3338]) ).
thf(3465,plain,
( ( ( sdtmndtplgtdt0 @ sK75_SY263 @ xR @ sK69_SY255 )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3339]) ).
thf(3466,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3467,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3468,plain,
! [SV135: $i] :
( ( ( aReductOfIn0 @ SV135 @ sK70_SY265 @ xR )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3469,plain,
( ( ( ~ ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3342]) ).
thf(3470,plain,
( ( ( sdtmndtplgtdt0 @ sK72_SY272 @ xR @ sK70_SY265 )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3343]) ).
thf(3471,plain,
( ( ( ~ ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3344]) ).
thf(3472,plain,
( ( ( sdtmndtplgtdt0 @ sK64_SY232 @ xR @ sK58_SY224 )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3345]) ).
thf(3473,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3346]) ).
thf(3474,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3346]) ).
thf(3475,plain,
! [SV136: $i] :
( ( ( aReductOfIn0 @ SV136 @ sK59_SY234 @ xR )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3347]) ).
thf(3476,plain,
( ( ( ~ ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3348]) ).
thf(3477,plain,
( ( ( sdtmndtplgtdt0 @ sK61_SY241 @ xR @ sK59_SY234 )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3349]) ).
thf(3478,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3351]) ).
thf(3479,plain,
( ( ( aElement0 @ sK52_SY202 )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3352]) ).
thf(3480,plain,
( ( ( aReductOfIn0 @ sK52_SY202 @ sK46_SY182 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK46_SY182 @ xR )
= $true )
| ( ( sK46_SY182 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3353]) ).
thf(3481,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3482,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3483,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3356]) ).
thf(3484,plain,
( ( ( aElement0 @ sK49_SY211 )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3357]) ).
thf(3485,plain,
( ( ( aReductOfIn0 @ sK49_SY211 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xc @ xR )
= $true )
| ( ( xc = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3358]) ).
thf(3486,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3360]) ).
thf(3487,plain,
( ( ( aElement0 @ sK41_SY171 )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3361]) ).
thf(3488,plain,
( ( ( aReductOfIn0 @ sK41_SY171 @ sK35_SY151 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK35_SY151 @ xR )
= $true )
| ( ( sK35_SY151 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3362]) ).
thf(3489,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3490,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3491,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3492,plain,
( ( ( aElement0 @ sK38_SY180 )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3366]) ).
thf(3493,plain,
( ( ( aReductOfIn0 @ sK38_SY180 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xc @ xR )
= $true )
| ( ( xc = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3367]) ).
thf(3494,plain,
( ( ( ~ ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3368]) ).
thf(3495,plain,
( ( ( sdtmndtplgtdt0 @ sK31_SY139 @ xR @ sK25_SY131 )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3369]) ).
thf(3496,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3370]) ).
thf(3497,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3370]) ).
thf(3498,plain,
! [SV137: $i] :
( ( ( aReductOfIn0 @ SV137 @ sK26_SY141 @ xR )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3499,plain,
( ( ( ~ ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3372]) ).
thf(3500,plain,
( ( ( sdtmndtplgtdt0 @ sK28_SY148 @ xR @ sK26_SY141 )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3373]) ).
thf(3501,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3375]) ).
thf(3502,plain,
( ( ( aElement0 @ sK19_SY109 )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3376]) ).
thf(3503,plain,
( ( ( aReductOfIn0 @ sK19_SY109 @ sK13_SY89 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK13_SY89 @ xR )
= $true )
| ( ( sK13_SY89 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3377]) ).
thf(3504,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3378]) ).
thf(3505,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3378]) ).
thf(3506,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3380]) ).
thf(3507,plain,
( ( ( aElement0 @ sK16_SY118 )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3381]) ).
thf(3508,plain,
( ( ( aReductOfIn0 @ sK16_SY118 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xc @ xR )
= $true )
| ( ( xc = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3382]) ).
thf(3509,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3384]) ).
thf(3510,plain,
( ( ( aElement0 @ sK8_SY78 )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3385]) ).
thf(3511,plain,
( ( ( aReductOfIn0 @ sK8_SY78 @ sK2_SY58 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK2_SY58 @ xR )
= $true )
| ( ( sK2_SY58 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3386]) ).
thf(3512,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3387]) ).
thf(3513,plain,
( ( ( ~ ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3387]) ).
thf(3514,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3389]) ).
thf(3515,plain,
( ( ( aElement0 @ sK5_SY87 )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3390]) ).
thf(3516,plain,
( ( ( aReductOfIn0 @ sK5_SY87 @ xc @ xR )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xc @ xR )
= $true )
| ( ( xc = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3391]) ).
thf(3517,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3392]) ).
thf(3518,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3392]) ).
thf(3519,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3393]) ).
thf(3520,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3393]) ).
thf(3521,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3394]) ).
thf(3522,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3394]) ).
thf(3523,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3396]) ).
thf(3524,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3525,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3399]) ).
thf(3526,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3399]) ).
thf(3527,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3401]) ).
thf(3528,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3402]) ).
thf(3529,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3402]) ).
thf(3530,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3403]) ).
thf(3531,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3403]) ).
thf(3532,plain,
! [SV8: $i,SV48: $i,SV42: $i] :
( ( ( sdtmndtplgtdt0 @ SV42 @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3404]) ).
thf(3533,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3405]) ).
thf(3534,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3406]) ).
thf(3535,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3406]) ).
thf(3536,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3407]) ).
thf(3537,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3407]) ).
thf(3538,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3408]) ).
thf(3539,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3408]) ).
thf(3540,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3409]) ).
thf(3541,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( sdtmndtplgtdt0 @ SV87 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3411]) ).
thf(3542,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3412]) ).
thf(3543,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3544,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( sdtmndtplgtdt0 @ SV88 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3415]) ).
thf(3545,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3416]) ).
thf(3546,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3417]) ).
thf(3547,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3417]) ).
thf(3548,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3419]) ).
thf(3549,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3550,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3551,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3421]) ).
thf(3552,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3421]) ).
thf(3553,plain,
! [SV132: $i,SV127: $i,SV82: $i,SV89: $i,SV8: $i] :
( ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3422]) ).
thf(3554,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3555,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3556,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3424]) ).
thf(3557,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3424]) ).
thf(3558,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3426]) ).
thf(3559,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3427]) ).
thf(3560,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3427]) ).
thf(3561,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3428]) ).
thf(3562,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( sdtmndtplgtdt0 @ SV90 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3430]) ).
thf(3563,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3431]) ).
thf(3564,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3432]) ).
thf(3565,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3432]) ).
thf(3566,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3433]) ).
thf(3567,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3435]) ).
thf(3568,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3569,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3439]) ).
thf(3570,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3439]) ).
thf(3571,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3440]) ).
thf(3572,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( sdtmndtplgtdt0 @ SV91 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3442]) ).
thf(3573,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3443]) ).
thf(3574,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3444]) ).
thf(3575,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3444]) ).
thf(3576,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3577,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3578,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
| ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3579,plain,
( ( ( aElement0 @ sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3453]) ).
thf(3580,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3454]) ).
thf(3581,plain,
( ( ( ~ ( aElement0 @ sK86_SY294 )
| ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3457]) ).
thf(3582,plain,
( ( ( ~ ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3459]) ).
thf(3583,plain,
( ( ( sdtmndtasgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3460]) ).
thf(3584,plain,
( ( ( ~ ( aElement0 @ sK83_SY303 )
| ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3585,plain,
( ( ( ~ ( aElement0 @ sK75_SY263 )
| ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3464]) ).
thf(3586,plain,
( ( ( ~ ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3466]) ).
thf(3587,plain,
( ( ( sdtmndtasgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3467]) ).
thf(3588,plain,
( ( ( ~ ( aElement0 @ sK72_SY272 )
| ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3589,plain,
( ( ( ~ ( aElement0 @ sK64_SY232 )
| ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3590,plain,
( ( ( ~ ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3473]) ).
thf(3591,plain,
( ( ( sdtmndtasgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3474]) ).
thf(3592,plain,
( ( ( ~ ( aElement0 @ sK61_SY241 )
| ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3476]) ).
thf(3593,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3478]) ).
thf(3594,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3481]) ).
thf(3595,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK48_SY203 @ xR ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3482]) ).
thf(3596,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3483]) ).
thf(3597,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3486]) ).
thf(3598,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3489]) ).
thf(3599,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK37_SY172 @ xR ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3490]) ).
thf(3600,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3491]) ).
thf(3601,plain,
( ( ( ~ ( aElement0 @ sK31_SY139 )
| ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3494]) ).
thf(3602,plain,
( ( ( ~ ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3496]) ).
thf(3603,plain,
( ( ( sdtmndtasgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3497]) ).
thf(3604,plain,
( ( ( ~ ( aElement0 @ sK28_SY148 )
| ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3499]) ).
thf(3605,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3501]) ).
thf(3606,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3504]) ).
thf(3607,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK15_SY110 @ xR ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3505]) ).
thf(3608,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3506]) ).
thf(3609,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3509]) ).
thf(3610,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3512]) ).
thf(3611,plain,
( ( ( ! [SX0: $i] :
~ ( aReductOfIn0 @ SX0 @ sK4_SY79 @ xR ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3513]) ).
thf(3612,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3514]) ).
thf(3613,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( aElement0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3517]) ).
thf(3614,plain,
! [SV8: $i,SV23: $i,SV24: $i] :
( ( ( aReductOfIn0 @ ( sK186_SY384 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK184_W3 @ SV24 @ SV23 @ SV8 ) @ SV23 @ xR )
= $true )
| ( ( SV23
= ( sK184_W3 @ SV24 @ SV23 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV23 )
= $false )
| ( ( aElement0 @ SV23 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV24 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3518]) ).
thf(3615,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3519]) ).
thf(3616,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ xR @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3520]) ).
thf(3617,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( aElement0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3521]) ).
thf(3618,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3522]) ).
thf(3619,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3523]) ).
thf(3620,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3524]) ).
thf(3621,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3524]) ).
thf(3622,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3525]) ).
thf(3623,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3526]) ).
thf(3624,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3527]) ).
thf(3625,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3527]) ).
thf(3626,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3528]) ).
thf(3627,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3529]) ).
thf(3628,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3530]) ).
thf(3629,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ xR @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3531]) ).
thf(3630,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3533]) ).
thf(3631,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( aElement0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3534]) ).
thf(3632,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( aReductOfIn0 @ ( sK167_SY373 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV48 @ xR )
= $true )
| ( ( SV48
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3535]) ).
thf(3633,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3536]) ).
thf(3634,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( sdtmndtasgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3537]) ).
thf(3635,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3538]) ).
thf(3636,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
| ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3539]) ).
thf(3637,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3540]) ).
thf(3638,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3540]) ).
thf(3639,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3542]) ).
thf(3640,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3543]) ).
thf(3641,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3543]) ).
thf(3642,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3545]) ).
thf(3643,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( aElement0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3546]) ).
thf(3644,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3547]) ).
thf(3645,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3548]) ).
thf(3646,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3549]) ).
thf(3647,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( sdtmndtasgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3550]) ).
thf(3648,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3551]) ).
thf(3649,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
| ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3552]) ).
thf(3650,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3651,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3554]) ).
thf(3652,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( sdtmndtasgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3555]) ).
thf(3653,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3556]) ).
thf(3654,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( sdtmndtasgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3557]) ).
thf(3655,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3558]) ).
thf(3656,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3558]) ).
thf(3657,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3559]) ).
thf(3658,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3560]) ).
thf(3659,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3561]) ).
thf(3660,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3561]) ).
thf(3661,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3563]) ).
thf(3662,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3564]) ).
thf(3663,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( sdtmndtasgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3565]) ).
thf(3664,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3566]) ).
thf(3665,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3566]) ).
thf(3666,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3567]) ).
thf(3667,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3567]) ).
thf(3668,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3568]) ).
thf(3669,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3568]) ).
thf(3670,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3569]) ).
thf(3671,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3570]) ).
thf(3672,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3571]) ).
thf(3673,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3571]) ).
thf(3674,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3573]) ).
thf(3675,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3574]) ).
thf(3676,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( sdtmndtasgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3575]) ).
thf(3677,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3576]) ).
thf(3678,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3576]) ).
thf(3679,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3577]) ).
thf(3680,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3577]) ).
thf(3681,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3578]) ).
thf(3682,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3578]) ).
thf(3683,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3580]) ).
thf(3684,plain,
( ( ( ~ ( aElement0 @ sK86_SY294 ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3581]) ).
thf(3685,plain,
( ( ( ~ ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3581]) ).
thf(3686,plain,
( ( ( ~ ( aElement0 @ sK81_SY296 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3582]) ).
thf(3687,plain,
( ( ( ~ ( aElement0 @ sK83_SY303 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3584]) ).
thf(3688,plain,
( ( ( ~ ( aReductOfIn0 @ sK83_SY303 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3584]) ).
thf(3689,plain,
( ( ( ~ ( aElement0 @ sK75_SY263 ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3585]) ).
thf(3690,plain,
( ( ( ~ ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3585]) ).
thf(3691,plain,
( ( ( ~ ( aElement0 @ sK70_SY265 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3586]) ).
thf(3692,plain,
( ( ( ~ ( aElement0 @ sK72_SY272 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3588]) ).
thf(3693,plain,
( ( ( ~ ( aReductOfIn0 @ sK72_SY272 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3588]) ).
thf(3694,plain,
( ( ( ~ ( aElement0 @ sK64_SY232 ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3589]) ).
thf(3695,plain,
( ( ( ~ ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3589]) ).
thf(3696,plain,
( ( ( ~ ( aElement0 @ sK59_SY234 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3590]) ).
thf(3697,plain,
( ( ( ~ ( aElement0 @ sK61_SY241 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3698,plain,
( ( ( ~ ( aReductOfIn0 @ sK61_SY241 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3699,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3593]) ).
thf(3700,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3593]) ).
thf(3701,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3594]) ).
thf(3702,plain,
! [SV138: $i] :
( ( ( ~ ( aReductOfIn0 @ SV138 @ sK48_SY203 @ xR ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3595]) ).
thf(3703,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3596]) ).
thf(3704,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3596]) ).
thf(3705,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3597]) ).
thf(3706,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3597]) ).
thf(3707,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3708,plain,
! [SV139: $i] :
( ( ( ~ ( aReductOfIn0 @ SV139 @ sK37_SY172 @ xR ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3599]) ).
thf(3709,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3600]) ).
thf(3710,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3600]) ).
thf(3711,plain,
( ( ( ~ ( aElement0 @ sK31_SY139 ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3712,plain,
( ( ( ~ ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3713,plain,
( ( ( ~ ( aElement0 @ sK26_SY141 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3602]) ).
thf(3714,plain,
( ( ( ~ ( aElement0 @ sK28_SY148 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3604]) ).
thf(3715,plain,
( ( ( ~ ( aReductOfIn0 @ sK28_SY148 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3604]) ).
thf(3716,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3605]) ).
thf(3717,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3605]) ).
thf(3718,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3606]) ).
thf(3719,plain,
! [SV140: $i] :
( ( ( ~ ( aReductOfIn0 @ SV140 @ sK15_SY110 @ xR ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3607]) ).
thf(3720,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3608]) ).
thf(3721,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3608]) ).
thf(3722,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3609]) ).
thf(3723,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3609]) ).
thf(3724,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
| ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3725,plain,
! [SV141: $i] :
( ( ( ~ ( aReductOfIn0 @ SV141 @ sK4_SY79 @ xR ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3611]) ).
thf(3726,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3612]) ).
thf(3727,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3612]) ).
thf(3728,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3615]) ).
thf(3729,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3618]) ).
thf(3730,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3619]) ).
thf(3731,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3619]) ).
thf(3732,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3620]) ).
thf(3733,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
| ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3621]) ).
thf(3734,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3735,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3624]) ).
thf(3736,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
| ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3625]) ).
thf(3737,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3626]) ).
thf(3738,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3628]) ).
thf(3739,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3630]) ).
thf(3740,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3633]) ).
thf(3741,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( sdtmndtplgtdt0 @ SV69 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3635]) ).
thf(3742,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3636]) ).
thf(3743,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( aElement0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3637]) ).
thf(3744,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3638]) ).
thf(3745,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3639]) ).
thf(3746,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( aElement0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3640]) ).
thf(3747,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3641]) ).
thf(3748,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3642]) ).
thf(3749,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3644]) ).
thf(3750,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3645]) ).
thf(3751,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3645]) ).
thf(3752,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3646]) ).
thf(3753,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( sdtmndtplgtdt0 @ SV70 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3648]) ).
thf(3754,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3649]) ).
thf(3755,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3650]) ).
thf(3756,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3650]) ).
thf(3757,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3651]) ).
thf(3758,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3759,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3655]) ).
thf(3760,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
| ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3656]) ).
thf(3761,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3657]) ).
thf(3762,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( aElement0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3659]) ).
thf(3763,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3660]) ).
thf(3764,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3661]) ).
thf(3765,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3662]) ).
thf(3766,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3664]) ).
thf(3767,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3665]) ).
thf(3768,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3666]) ).
thf(3769,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3667]) ).
thf(3770,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3668]) ).
thf(3771,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
| ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3669]) ).
thf(3772,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3670]) ).
thf(3773,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( aElement0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3672]) ).
thf(3774,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3673]) ).
thf(3775,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3674]) ).
thf(3776,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3675]) ).
thf(3777,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3677]) ).
thf(3778,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3678]) ).
thf(3779,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3679]) ).
thf(3780,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3680]) ).
thf(3781,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( aElement0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3681]) ).
thf(3782,plain,
! [SV28: $i,SV32: $i,SV35: $i] :
( ( ( aReductOfIn0 @ ( sK189_SY386 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK187_W3 @ SV35 @ SV32 @ SV28 ) @ SV32 @ xR )
= $true )
| ( ( SV32
= ( sK187_W3 @ SV35 @ SV32 @ SV28 ) )
= $true )
| ( ( aReductOfIn0 @ SV32 @ SV28 @ xR )
= $false )
| ( ( aElement0 @ SV32 )
= $false )
| ( ( aElement0 @ SV28 )
= $false )
| ( ( aElement0 @ SV35 )
= $false )
| ( ( aReductOfIn0 @ SV35 @ SV28 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3682]) ).
thf(3783,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3683]) ).
thf(3784,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) ) )
= $false )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3683]) ).
thf(3785,plain,
( ( ( aElement0 @ sK86_SY294 )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3684]) ).
thf(3786,plain,
( ( ( aReductOfIn0 @ sK86_SY294 @ sK78_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK80_SY286 @ sK78_W0 @ xR )
= $true )
| ( ( sK78_W0 = sK80_SY286 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3685]) ).
thf(3787,plain,
( ( ( ~ ( aElement0 @ sK81_SY296 ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3686]) ).
thf(3788,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3686]) ).
thf(3789,plain,
( ( ( aElement0 @ sK83_SY303 )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3687]) ).
thf(3790,plain,
( ( ( aReductOfIn0 @ sK83_SY303 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ xb @ xR )
= $true )
| ( ( xb = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3688]) ).
thf(3791,plain,
( ( ( aElement0 @ sK75_SY263 )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3689]) ).
thf(3792,plain,
( ( ( aReductOfIn0 @ sK75_SY263 @ sK67_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK69_SY255 @ sK67_W0 @ xR )
= $true )
| ( ( sK67_W0 = sK69_SY255 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3690]) ).
thf(3793,plain,
( ( ( ~ ( aElement0 @ sK70_SY265 ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3691]) ).
thf(3794,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3691]) ).
thf(3795,plain,
( ( ( aElement0 @ sK72_SY272 )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3692]) ).
thf(3796,plain,
( ( ( aReductOfIn0 @ sK72_SY272 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ xb @ xR )
= $true )
| ( ( xb = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3693]) ).
thf(3797,plain,
( ( ( aElement0 @ sK64_SY232 )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3694]) ).
thf(3798,plain,
( ( ( aReductOfIn0 @ sK64_SY232 @ sK56_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK58_SY224 @ sK56_W0 @ xR )
= $true )
| ( ( sK56_W0 = sK58_SY224 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3695]) ).
thf(3799,plain,
( ( ( ~ ( aElement0 @ sK59_SY234 ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3696]) ).
thf(3800,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3696]) ).
thf(3801,plain,
( ( ( aElement0 @ sK61_SY241 )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3697]) ).
thf(3802,plain,
( ( ( aReductOfIn0 @ sK61_SY241 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ xb @ xR )
= $true )
| ( ( xb = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3698]) ).
thf(3803,plain,
( ( ( ~ ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3699]) ).
thf(3804,plain,
( ( ( sdtmndtplgtdt0 @ sK53_SY201 @ xR @ sK47_SY193 )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3700]) ).
thf(3805,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3701]) ).
thf(3806,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3701]) ).
thf(3807,plain,
! [SV138: $i] :
( ( ( aReductOfIn0 @ SV138 @ sK48_SY203 @ xR )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3702]) ).
thf(3808,plain,
( ( ( ~ ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3703]) ).
thf(3809,plain,
( ( ( sdtmndtplgtdt0 @ sK50_SY210 @ xR @ sK48_SY203 )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3704]) ).
thf(3810,plain,
( ( ( ~ ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3705]) ).
thf(3811,plain,
( ( ( sdtmndtplgtdt0 @ sK42_SY170 @ xR @ sK36_SY162 )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3706]) ).
thf(3812,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3707]) ).
thf(3813,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3707]) ).
thf(3814,plain,
! [SV139: $i] :
( ( ( aReductOfIn0 @ SV139 @ sK37_SY172 @ xR )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3708]) ).
thf(3815,plain,
( ( ( ~ ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3709]) ).
thf(3816,plain,
( ( ( sdtmndtplgtdt0 @ sK39_SY179 @ xR @ sK37_SY172 )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3710]) ).
thf(3817,plain,
( ( ( aElement0 @ sK31_SY139 )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3711]) ).
thf(3818,plain,
( ( ( aReductOfIn0 @ sK31_SY139 @ sK23_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK25_SY131 @ sK23_W0 @ xR )
= $true )
| ( ( sK23_W0 = sK25_SY131 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3712]) ).
thf(3819,plain,
( ( ( ~ ( aElement0 @ sK26_SY141 ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3713]) ).
thf(3820,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3713]) ).
thf(3821,plain,
( ( ( aElement0 @ sK28_SY148 )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3714]) ).
thf(3822,plain,
( ( ( aReductOfIn0 @ sK28_SY148 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ xb @ xR )
= $true )
| ( ( xb = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3715]) ).
thf(3823,plain,
( ( ( ~ ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3716]) ).
thf(3824,plain,
( ( ( sdtmndtplgtdt0 @ sK20_SY108 @ xR @ sK14_SY100 )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3717]) ).
thf(3825,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3718]) ).
thf(3826,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3718]) ).
thf(3827,plain,
! [SV140: $i] :
( ( ( aReductOfIn0 @ SV140 @ sK15_SY110 @ xR )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3719]) ).
thf(3828,plain,
( ( ( ~ ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3720]) ).
thf(3829,plain,
( ( ( sdtmndtplgtdt0 @ sK17_SY117 @ xR @ sK15_SY110 )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3721]) ).
thf(3830,plain,
( ( ( ~ ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3722]) ).
thf(3831,plain,
( ( ( sdtmndtplgtdt0 @ sK9_SY77 @ xR @ sK3_SY69 )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3723]) ).
thf(3832,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3724]) ).
thf(3833,plain,
( ( ( ~ ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3724]) ).
thf(3834,plain,
! [SV141: $i] :
( ( ( aReductOfIn0 @ SV141 @ sK4_SY79 @ xR )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3725]) ).
thf(3835,plain,
( ( ( ~ ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3726]) ).
thf(3836,plain,
( ( ( sdtmndtplgtdt0 @ sK6_SY86 @ xR @ sK4_SY79 )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3727]) ).
thf(3837,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3728]) ).
thf(3838,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3728]) ).
thf(3839,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3729]) ).
thf(3840,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3729]) ).
thf(3841,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3730]) ).
thf(3842,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3731]) ).
thf(3843,plain,
! [SV8: $i,SV67: $i,SV58: $i] :
( ( ( sdtmndtplgtdt0 @ SV58 @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3732]) ).
thf(3844,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3733]) ).
thf(3845,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3734]) ).
thf(3846,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3734]) ).
thf(3847,plain,
! [SV8: $i,SV68: $i,SV59: $i] :
( ( ( sdtmndtplgtdt0 @ SV59 @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3735]) ).
thf(3848,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(3849,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3737]) ).
thf(3850,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3737]) ).
thf(3851,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3738]) ).
thf(3852,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3738]) ).
thf(3853,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3739]) ).
thf(3854,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3739]) ).
thf(3855,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3740]) ).
thf(3856,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3740]) ).
thf(3857,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3742]) ).
thf(3858,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3744]) ).
thf(3859,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3745]) ).
thf(3860,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3745]) ).
thf(3861,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3747]) ).
thf(3862,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3748]) ).
thf(3863,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3748]) ).
thf(3864,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3749]) ).
thf(3865,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3749]) ).
thf(3866,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(3867,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3751]) ).
thf(3868,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3752]) ).
thf(3869,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3752]) ).
thf(3870,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3754]) ).
thf(3871,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3755]) ).
thf(3872,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( sdtmndtasgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3756]) ).
thf(3873,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3757]) ).
thf(3874,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3757]) ).
thf(3875,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3758]) ).
thf(3876,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3758]) ).
thf(3877,plain,
! [SV8: $i,SV71: $i,SV62: $i] :
( ( ( sdtmndtplgtdt0 @ SV62 @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3759]) ).
thf(3878,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(3879,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(3880,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(3881,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3763]) ).
thf(3882,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3764]) ).
thf(3883,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3764]) ).
thf(3884,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3765]) ).
thf(3885,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3765]) ).
thf(3886,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3766]) ).
thf(3887,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3767]) ).
thf(3888,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3768]) ).
thf(3889,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3769]) ).
thf(3890,plain,
! [SV8: $i,SV72: $i,SV63: $i] :
( ( ( sdtmndtplgtdt0 @ SV63 @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3770]) ).
thf(3891,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3771]) ).
thf(3892,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3772]) ).
thf(3893,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3772]) ).
thf(3894,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3774]) ).
thf(3895,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3775]) ).
thf(3896,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3775]) ).
thf(3897,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3776]) ).
thf(3898,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3776]) ).
thf(3899,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3777]) ).
thf(3900,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3778]) ).
thf(3901,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3779]) ).
thf(3902,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3780]) ).
thf(3903,plain,
( ( ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
| ( sK91_SY317 = sK92_SY327 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3783]) ).
thf(3904,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
| ( sK91_SY317 = sK92_SY327 ) )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3784]) ).
thf(3905,plain,
( ( ( aElement0 @ sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3787]) ).
thf(3906,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3788]) ).
thf(3907,plain,
( ( ( aElement0 @ sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3793]) ).
thf(3908,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3794]) ).
thf(3909,plain,
( ( ( aElement0 @ sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3799]) ).
thf(3910,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3800]) ).
thf(3911,plain,
( ( ( ~ ( aElement0 @ sK53_SY201 )
| ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3803]) ).
thf(3912,plain,
( ( ( ~ ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3805]) ).
thf(3913,plain,
( ( ( sdtmndtasgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3806]) ).
thf(3914,plain,
( ( ( ~ ( aElement0 @ sK50_SY210 )
| ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3808]) ).
thf(3915,plain,
( ( ( ~ ( aElement0 @ sK42_SY170 )
| ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3810]) ).
thf(3916,plain,
( ( ( ~ ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3812]) ).
thf(3917,plain,
( ( ( sdtmndtasgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3813]) ).
thf(3918,plain,
( ( ( ~ ( aElement0 @ sK39_SY179 )
| ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3815]) ).
thf(3919,plain,
( ( ( aElement0 @ sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3819]) ).
thf(3920,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3820]) ).
thf(3921,plain,
( ( ( ~ ( aElement0 @ sK20_SY108 )
| ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3823]) ).
thf(3922,plain,
( ( ( ~ ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3825]) ).
thf(3923,plain,
( ( ( sdtmndtasgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3826]) ).
thf(3924,plain,
( ( ( ~ ( aElement0 @ sK17_SY117 )
| ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3828]) ).
thf(3925,plain,
( ( ( ~ ( aElement0 @ sK9_SY77 )
| ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3830]) ).
thf(3926,plain,
( ( ( ~ ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3832]) ).
thf(3927,plain,
( ( ( sdtmndtasgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[3833]) ).
thf(3928,plain,
( ( ( ~ ( aElement0 @ sK6_SY86 )
| ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3835]) ).
thf(3929,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( aElement0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3837]) ).
thf(3930,plain,
! [SV8: $i,SV29: $i,SV33: $i] :
( ( ( aReductOfIn0 @ ( sK183_SY382 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK181_W3 @ SV33 @ SV29 @ SV8 ) @ SV29 @ xR )
= $true )
| ( ( SV29
= ( sK181_W3 @ SV33 @ SV29 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV29 )
= $false )
| ( ( aElement0 @ SV29 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV33 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3838]) ).
thf(3931,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3839]) ).
thf(3932,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
| ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3840]) ).
thf(3933,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3841]) ).
thf(3934,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3844]) ).
thf(3935,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( aElement0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3845]) ).
thf(3936,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( aReductOfIn0 @ ( sK176_SY379 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV67 @ xR )
= $true )
| ( ( SV67
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3846]) ).
thf(3937,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3848]) ).
thf(3938,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( aElement0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3849]) ).
thf(3939,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( aReductOfIn0 @ ( sK173_SY377 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV68 @ xR )
= $true )
| ( ( SV68
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3850]) ).
thf(3940,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( aElement0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3851]) ).
thf(3941,plain,
! [SV8: $i,SV30: $i,SV34: $i] :
( ( ( aReductOfIn0 @ ( sK171_SY374 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK169_W3 @ SV34 @ SV30 @ SV8 ) @ SV30 @ xR )
= $true )
| ( ( SV30
= ( sK169_W3 @ SV34 @ SV30 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV30 )
= $false )
| ( ( aElement0 @ SV30 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV34 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3852]) ).
thf(3942,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3853]) ).
thf(3943,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ xR @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3854]) ).
thf(3944,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( aElement0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3855]) ).
thf(3945,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3856]) ).
thf(3946,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3857]) ).
thf(3947,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3858]) ).
thf(3948,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3858]) ).
thf(3949,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3859]) ).
thf(3950,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3860]) ).
thf(3951,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3861]) ).
thf(3952,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3861]) ).
thf(3953,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3862]) ).
thf(3954,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3863]) ).
thf(3955,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3864]) ).
thf(3956,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
| ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3865]) ).
thf(3957,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3866]) ).
thf(3958,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( aElement0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3868]) ).
thf(3959,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3869]) ).
thf(3960,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3870]) ).
thf(3961,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3871]) ).
thf(3962,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3873]) ).
thf(3963,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3874]) ).
thf(3964,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3875]) ).
thf(3965,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3876]) ).
thf(3966,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3878]) ).
thf(3967,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( aElement0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3879]) ).
thf(3968,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( aReductOfIn0 @ ( sK140_SY355 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV71 @ xR )
= $true )
| ( ( SV71
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3880]) ).
thf(3969,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3881]) ).
thf(3970,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3881]) ).
thf(3971,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3882]) ).
thf(3972,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3883]) ).
thf(3973,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3884]) ).
thf(3974,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3885]) ).
thf(3975,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3886]) ).
thf(3976,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3886]) ).
thf(3977,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3887]) ).
thf(3978,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3887]) ).
thf(3979,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3888]) ).
thf(3980,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3888]) ).
thf(3981,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3889]) ).
thf(3982,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3889]) ).
thf(3983,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3891]) ).
thf(3984,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( aElement0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3892]) ).
thf(3985,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( aReductOfIn0 @ ( sK125_SY345 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV72 @ xR )
= $true )
| ( ( SV72
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3893]) ).
thf(3986,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3894]) ).
thf(3987,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3894]) ).
thf(3988,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3895]) ).
thf(3989,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3896]) ).
thf(3990,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3897]) ).
thf(3991,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3898]) ).
thf(3992,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3899]) ).
thf(3993,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3899]) ).
thf(3994,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3900]) ).
thf(3995,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3900]) ).
thf(3996,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3901]) ).
thf(3997,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3901]) ).
thf(3998,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3902]) ).
thf(3999,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3902]) ).
thf(4000,plain,
( ( ( sdtmndtplgtdt0 @ sK91_SY317 @ xR @ sK92_SY327 )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3903]) ).
thf(4001,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
| ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR ) )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[3904]) ).
thf(4002,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3906]) ).
thf(4003,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3908]) ).
thf(4004,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3910]) ).
thf(4005,plain,
( ( ( ~ ( aElement0 @ sK53_SY201 ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3911]) ).
thf(4006,plain,
( ( ( ~ ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3911]) ).
thf(4007,plain,
( ( ( ~ ( aElement0 @ sK48_SY203 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3912]) ).
thf(4008,plain,
( ( ( ~ ( aElement0 @ sK50_SY210 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3914]) ).
thf(4009,plain,
( ( ( ~ ( aReductOfIn0 @ sK50_SY210 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3914]) ).
thf(4010,plain,
( ( ( ~ ( aElement0 @ sK42_SY170 ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3915]) ).
thf(4011,plain,
( ( ( ~ ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3915]) ).
thf(4012,plain,
( ( ( ~ ( aElement0 @ sK37_SY172 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3916]) ).
thf(4013,plain,
( ( ( ~ ( aElement0 @ sK39_SY179 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3918]) ).
thf(4014,plain,
( ( ( ~ ( aReductOfIn0 @ sK39_SY179 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3918]) ).
thf(4015,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3920]) ).
thf(4016,plain,
( ( ( ~ ( aElement0 @ sK20_SY108 ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3921]) ).
thf(4017,plain,
( ( ( ~ ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3921]) ).
thf(4018,plain,
( ( ( ~ ( aElement0 @ sK15_SY110 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3922]) ).
thf(4019,plain,
( ( ( ~ ( aElement0 @ sK17_SY117 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3924]) ).
thf(4020,plain,
( ( ( ~ ( aReductOfIn0 @ sK17_SY117 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3924]) ).
thf(4021,plain,
( ( ( ~ ( aElement0 @ sK9_SY77 ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3925]) ).
thf(4022,plain,
( ( ( ~ ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3925]) ).
thf(4023,plain,
( ( ( ~ ( aElement0 @ sK4_SY79 )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[3926]) ).
thf(4024,plain,
( ( ( ~ ( aElement0 @ sK6_SY86 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3928]) ).
thf(4025,plain,
( ( ( ~ ( aReductOfIn0 @ sK6_SY86 @ xb @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[3928]) ).
thf(4026,plain,
! [SV102: $i,SV8: $i,SV47: $i,SV41: $i] :
( ( ( sdtmndtplgtdt0 @ SV41 @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3931]) ).
thf(4027,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3932]) ).
thf(4028,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3933]) ).
thf(4029,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3933]) ).
thf(4030,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3934]) ).
thf(4031,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3937]) ).
thf(4032,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3942]) ).
thf(4033,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3945]) ).
thf(4034,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3946]) ).
thf(4035,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3946]) ).
thf(4036,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3947]) ).
thf(4037,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
| ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3948]) ).
thf(4038,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3949]) ).
thf(4039,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3951]) ).
thf(4040,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
| ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3952]) ).
thf(4041,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3953]) ).
thf(4042,plain,
! [SV111: $i,SV8: $i,SV49: $i,SV43: $i] :
( ( ( sdtmndtplgtdt0 @ SV43 @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3955]) ).
thf(4043,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3956]) ).
thf(4044,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3957]) ).
thf(4045,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3957]) ).
thf(4046,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3959]) ).
thf(4047,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3960]) ).
thf(4048,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3960]) ).
thf(4049,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3961]) ).
thf(4050,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3961]) ).
thf(4051,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3962]) ).
thf(4052,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3963]) ).
thf(4053,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3964]) ).
thf(4054,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3965]) ).
thf(4055,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3966]) ).
thf(4056,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3969]) ).
thf(4057,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
| ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3970]) ).
thf(4058,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3971]) ).
thf(4059,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3973]) ).
thf(4060,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3974]) ).
thf(4061,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3975]) ).
thf(4062,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( sdtmndtasgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3976]) ).
thf(4063,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3977]) ).
thf(4064,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
| ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3978]) ).
thf(4065,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3979]) ).
thf(4066,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( sdtmndtasgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3980]) ).
thf(4067,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3981]) ).
thf(4068,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
| ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3982]) ).
thf(4069,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3983]) ).
thf(4070,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3986]) ).
thf(4071,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
| ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3987]) ).
thf(4072,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(4073,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3990]) ).
thf(4074,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3991]) ).
thf(4075,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3992]) ).
thf(4076,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( sdtmndtasgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3993]) ).
thf(4077,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3994]) ).
thf(4078,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
| ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3995]) ).
thf(4079,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3996]) ).
thf(4080,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( sdtmndtasgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3997]) ).
thf(4081,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3998]) ).
thf(4082,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
| ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3999]) ).
thf(4083,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4001]) ).
thf(4084,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4002]) ).
thf(4085,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) ) )
= $false )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4002]) ).
thf(4086,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4003]) ).
thf(4087,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) ) )
= $false )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4003]) ).
thf(4088,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4004]) ).
thf(4089,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) ) )
= $false )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4004]) ).
thf(4090,plain,
( ( ( aElement0 @ sK53_SY201 )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4005]) ).
thf(4091,plain,
( ( ( aReductOfIn0 @ sK53_SY201 @ sK45_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK47_SY193 @ sK45_W0 @ xR )
= $true )
| ( ( sK45_W0 = sK47_SY193 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4006]) ).
thf(4092,plain,
( ( ( ~ ( aElement0 @ sK48_SY203 ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4007]) ).
thf(4093,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4007]) ).
thf(4094,plain,
( ( ( aElement0 @ sK50_SY210 )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4008]) ).
thf(4095,plain,
( ( ( aReductOfIn0 @ sK50_SY210 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ xb @ xR )
= $true )
| ( ( xb = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4009]) ).
thf(4096,plain,
( ( ( aElement0 @ sK42_SY170 )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4010]) ).
thf(4097,plain,
( ( ( aReductOfIn0 @ sK42_SY170 @ sK34_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK36_SY162 @ sK34_W0 @ xR )
= $true )
| ( ( sK34_W0 = sK36_SY162 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4011]) ).
thf(4098,plain,
( ( ( ~ ( aElement0 @ sK37_SY172 ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4099,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4100,plain,
( ( ( aElement0 @ sK39_SY179 )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4013]) ).
thf(4101,plain,
( ( ( aReductOfIn0 @ sK39_SY179 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ xb @ xR )
= $true )
| ( ( xb = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4014]) ).
thf(4102,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4015]) ).
thf(4103,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) ) )
= $false )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4015]) ).
thf(4104,plain,
( ( ( aElement0 @ sK20_SY108 )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4016]) ).
thf(4105,plain,
( ( ( aReductOfIn0 @ sK20_SY108 @ sK12_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK14_SY100 @ sK12_W0 @ xR )
= $true )
| ( ( sK12_W0 = sK14_SY100 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4017]) ).
thf(4106,plain,
( ( ( ~ ( aElement0 @ sK15_SY110 ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4018]) ).
thf(4107,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4018]) ).
thf(4108,plain,
( ( ( aElement0 @ sK17_SY117 )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4019]) ).
thf(4109,plain,
( ( ( aReductOfIn0 @ sK17_SY117 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ xb @ xR )
= $true )
| ( ( xb = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4020]) ).
thf(4110,plain,
( ( ( aElement0 @ sK9_SY77 )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4021]) ).
thf(4111,plain,
( ( ( aReductOfIn0 @ sK9_SY77 @ sK1_W0 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK3_SY69 @ sK1_W0 @ xR )
= $true )
| ( ( sK1_W0 = sK3_SY69 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4022]) ).
thf(4112,plain,
( ( ( ~ ( aElement0 @ sK4_SY79 ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4023]) ).
thf(4113,plain,
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4023]) ).
thf(4114,plain,
( ( ( aElement0 @ sK6_SY86 )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4024]) ).
thf(4115,plain,
( ( ( aReductOfIn0 @ sK6_SY86 @ xb @ xR )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ xb @ xR )
= $true )
| ( ( xb = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4025]) ).
thf(4116,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4027]) ).
thf(4117,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( aElement0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4028]) ).
thf(4118,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( aReductOfIn0 @ ( sK179_SY381 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV47 @ xR )
= $true )
| ( ( SV47
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4029]) ).
thf(4119,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4030]) ).
thf(4120,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4030]) ).
thf(4121,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4031]) ).
thf(4122,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4031]) ).
thf(4123,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4032]) ).
thf(4124,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4032]) ).
thf(4125,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4033]) ).
thf(4126,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4033]) ).
thf(4127,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4034]) ).
thf(4128,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4035]) ).
thf(4129,plain,
! [SV8: $i,SV87: $i,SV80: $i] :
( ( ( sdtmndtplgtdt0 @ SV80 @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4036]) ).
thf(4130,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4037]) ).
thf(4131,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4038]) ).
thf(4132,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4038]) ).
thf(4133,plain,
! [SV8: $i,SV88: $i,SV81: $i] :
( ( ( sdtmndtplgtdt0 @ SV81 @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4039]) ).
thf(4134,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4040]) ).
thf(4135,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4041]) ).
thf(4136,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4041]) ).
thf(4137,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4043]) ).
thf(4138,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( aElement0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4044]) ).
thf(4139,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( aReductOfIn0 @ ( sK155_SY365 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV49 @ xR )
= $true )
| ( ( SV49
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4045]) ).
thf(4140,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4046]) ).
thf(4141,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4046]) ).
thf(4142,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4047]) ).
thf(4143,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4048]) ).
thf(4144,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4049]) ).
thf(4145,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4050]) ).
thf(4146,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4051]) ).
thf(4147,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4051]) ).
thf(4148,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4052]) ).
thf(4149,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4052]) ).
thf(4150,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4053]) ).
thf(4151,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4053]) ).
thf(4152,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4054]) ).
thf(4153,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4054]) ).
thf(4154,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4055]) ).
thf(4155,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4055]) ).
thf(4156,plain,
! [SV8: $i,SV90: $i,SV83: $i] :
( ( ( sdtmndtplgtdt0 @ SV83 @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4056]) ).
thf(4157,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4057]) ).
thf(4158,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4058]) ).
thf(4159,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4058]) ).
thf(4160,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4059]) ).
thf(4161,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4059]) ).
thf(4162,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4060]) ).
thf(4163,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4060]) ).
thf(4164,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4061]) ).
thf(4165,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( sdtmndtplgtdt0 @ SV121 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4063]) ).
thf(4166,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4064]) ).
thf(4167,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4065]) ).
thf(4168,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( sdtmndtplgtdt0 @ SV122 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4067]) ).
thf(4169,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4068]) ).
thf(4170,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4069]) ).
thf(4171,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4069]) ).
thf(4172,plain,
! [SV8: $i,SV91: $i,SV84: $i] :
( ( ( sdtmndtplgtdt0 @ SV84 @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4070]) ).
thf(4173,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4071]) ).
thf(4174,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4072]) ).
thf(4175,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4072]) ).
thf(4176,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4073]) ).
thf(4177,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4073]) ).
thf(4178,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4074]) ).
thf(4179,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4074]) ).
thf(4180,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4075]) ).
thf(4181,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( sdtmndtplgtdt0 @ SV123 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4077]) ).
thf(4182,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4078]) ).
thf(4183,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4079]) ).
thf(4184,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( sdtmndtplgtdt0 @ SV124 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4081]) ).
thf(4185,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4082]) ).
thf(4186,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4083]) ).
thf(4187,plain,
( ( ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
| ( sK80_SY286 = sK81_SY296 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4084]) ).
thf(4188,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
| ( sK80_SY286 = sK81_SY296 ) )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4085]) ).
thf(4189,plain,
( ( ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
| ( sK69_SY255 = sK70_SY265 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4086]) ).
thf(4190,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
| ( sK69_SY255 = sK70_SY265 ) )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4087]) ).
thf(4191,plain,
( ( ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
| ( sK58_SY224 = sK59_SY234 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4088]) ).
thf(4192,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
| ( sK58_SY224 = sK59_SY234 ) )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4089]) ).
thf(4193,plain,
( ( ( aElement0 @ sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4092]) ).
thf(4194,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4093]) ).
thf(4195,plain,
( ( ( aElement0 @ sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4098]) ).
thf(4196,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4099]) ).
thf(4197,plain,
( ( ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
| ( sK25_SY131 = sK26_SY141 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4102]) ).
thf(4198,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
| ( sK25_SY131 = sK26_SY141 ) )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4103]) ).
thf(4199,plain,
( ( ( aElement0 @ sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4106]) ).
thf(4200,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4107]) ).
thf(4201,plain,
( ( ( aElement0 @ sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4112]) ).
thf(4202,plain,
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4113]) ).
thf(4203,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4116]) ).
thf(4204,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4119]) ).
thf(4205,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ xR @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4120]) ).
thf(4206,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4121]) ).
thf(4207,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ xR @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4122]) ).
thf(4208,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( aElement0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4123]) ).
thf(4209,plain,
! [SV8: $i,SV42: $i,SV48: $i] :
( ( ( aReductOfIn0 @ ( sK168_SY372 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK166_W3 @ SV48 @ SV42 @ SV8 ) @ SV42 @ xR )
= $true )
| ( ( SV42
= ( sK166_W3 @ SV48 @ SV42 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV42 )
= $false )
| ( ( aElement0 @ SV42 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV48 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4124]) ).
thf(4210,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4125]) ).
thf(4211,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
| ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4126]) ).
thf(4212,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4127]) ).
thf(4213,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4130]) ).
thf(4214,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( aElement0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4131]) ).
thf(4215,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( aReductOfIn0 @ ( sK161_SY369 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV87 @ xR )
= $true )
| ( ( SV87
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4132]) ).
thf(4216,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4134]) ).
thf(4217,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( aElement0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4135]) ).
thf(4218,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( aReductOfIn0 @ ( sK158_SY367 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV88 @ xR )
= $true )
| ( ( SV88
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4136]) ).
thf(4219,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4137]) ).
thf(4220,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4140]) ).
thf(4221,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
| ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4141]) ).
thf(4222,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4142]) ).
thf(4223,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
| ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4144]) ).
thf(4224,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4145]) ).
thf(4225,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4146]) ).
thf(4226,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( sdtmndtasgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4147]) ).
thf(4227,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4148]) ).
thf(4228,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
| ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4149]) ).
thf(4229,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4150]) ).
thf(4230,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( sdtmndtasgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4151]) ).
thf(4231,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4152]) ).
thf(4232,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
| ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4153]) ).
thf(4233,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4154]) ).
thf(4234,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ xR @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4155]) ).
thf(4235,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4157]) ).
thf(4236,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( aElement0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4158]) ).
thf(4237,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( aReductOfIn0 @ ( sK137_SY353 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV90 @ xR )
= $true )
| ( ( SV90
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4159]) ).
thf(4238,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4160]) ).
thf(4239,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( sdtmndtasgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4161]) ).
thf(4240,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4162]) ).
thf(4241,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
| ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4163]) ).
thf(4242,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4164]) ).
thf(4243,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4164]) ).
thf(4244,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4166]) ).
thf(4245,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4167]) ).
thf(4246,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4167]) ).
thf(4247,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4169]) ).
thf(4248,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4170]) ).
thf(4249,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ xR @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4171]) ).
thf(4250,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4173]) ).
thf(4251,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( aElement0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4174]) ).
thf(4252,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( aReductOfIn0 @ ( sK122_SY343 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV91 @ xR )
= $true )
| ( ( SV91
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4175]) ).
thf(4253,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4176]) ).
thf(4254,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( sdtmndtasgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4177]) ).
thf(4255,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4178]) ).
thf(4256,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
| ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4179]) ).
thf(4257,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4180]) ).
thf(4258,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4180]) ).
thf(4259,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4182]) ).
thf(4260,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4183]) ).
thf(4261,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4183]) ).
thf(4262,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4185]) ).
thf(4263,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4186]) ).
thf(4264,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4186]) ).
thf(4265,plain,
( ( ( sdtmndtplgtdt0 @ sK80_SY286 @ xR @ sK81_SY296 )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4187]) ).
thf(4266,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
| ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR ) )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4188]) ).
thf(4267,plain,
( ( ( sdtmndtplgtdt0 @ sK69_SY255 @ xR @ sK70_SY265 )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4189]) ).
thf(4268,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
| ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR ) )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4190]) ).
thf(4269,plain,
( ( ( sdtmndtplgtdt0 @ sK58_SY224 @ xR @ sK59_SY234 )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4191]) ).
thf(4270,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
| ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR ) )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4192]) ).
thf(4271,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4194]) ).
thf(4272,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4196]) ).
thf(4273,plain,
( ( ( sdtmndtplgtdt0 @ sK25_SY131 @ xR @ sK26_SY141 )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4197]) ).
thf(4274,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
| ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR ) )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4198]) ).
thf(4275,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4200]) ).
thf(4276,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4202]) ).
thf(4277,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4203]) ).
thf(4278,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4203]) ).
thf(4279,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4204]) ).
thf(4280,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4206]) ).
thf(4281,plain,
! [SV120: $i,SV8: $i,SV69: $i,SV60: $i] :
( ( ( sdtmndtplgtdt0 @ SV60 @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4210]) ).
thf(4282,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4211]) ).
thf(4283,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4212]) ).
thf(4284,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4212]) ).
thf(4285,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4213]) ).
thf(4286,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4216]) ).
thf(4287,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4219]) ).
thf(4288,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4219]) ).
thf(4289,plain,
! [SV125: $i,SV8: $i,SV70: $i,SV61: $i] :
( ( ( sdtmndtplgtdt0 @ SV61 @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4220]) ).
thf(4290,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4221]) ).
thf(4291,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4222]) ).
thf(4292,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4222]) ).
thf(4293,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4223]) ).
thf(4294,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( ~ ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4223]) ).
thf(4295,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4224]) ).
thf(4296,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4224]) ).
thf(4297,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4225]) ).
thf(4298,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( sdtmndtplgtdt0 @ SV103 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4227]) ).
thf(4299,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4228]) ).
thf(4300,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4229]) ).
thf(4301,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( sdtmndtplgtdt0 @ SV104 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4231]) ).
thf(4302,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4232]) ).
thf(4303,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4233]) ).
thf(4304,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4235]) ).
thf(4305,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4238]) ).
thf(4306,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( sdtmndtplgtdt0 @ SV105 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4240]) ).
thf(4307,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4241]) ).
thf(4308,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( aElement0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4242]) ).
thf(4309,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4243]) ).
thf(4310,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4311,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( aElement0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4245]) ).
thf(4312,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4246]) ).
thf(4313,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4247]) ).
thf(4314,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4248]) ).
thf(4315,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4250]) ).
thf(4316,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4253]) ).
thf(4317,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( sdtmndtplgtdt0 @ SV106 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4255]) ).
thf(4318,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4256]) ).
thf(4319,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( aElement0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4257]) ).
thf(4320,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4258]) ).
thf(4321,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4259]) ).
thf(4322,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( aElement0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4260]) ).
thf(4323,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4261]) ).
thf(4324,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4262]) ).
thf(4325,plain,
( ( ( ~ ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4263]) ).
thf(4326,plain,
( ( ( sdtmndtplgtdt0 @ sK95_SY332 @ xR @ sK92_SY327 )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4264]) ).
thf(4327,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4266]) ).
thf(4328,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4268]) ).
thf(4329,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4270]) ).
thf(4330,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4271]) ).
thf(4331,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) ) )
= $false )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4271]) ).
thf(4332,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4272]) ).
thf(4333,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) ) )
= $false )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4272]) ).
thf(4334,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4274]) ).
thf(4335,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4275]) ).
thf(4336,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) ) )
= $false )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4275]) ).
thf(4337,plain,
( ( ( ~ ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4276]) ).
thf(4338,plain,
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) ) )
= $false )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4276]) ).
thf(4339,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4277]) ).
thf(4340,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ xR @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4278]) ).
thf(4341,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4279]) ).
thf(4342,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4279]) ).
thf(4343,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4280]) ).
thf(4344,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4280]) ).
thf(4345,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4282]) ).
thf(4346,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( aElement0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4283]) ).
thf(4347,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( aReductOfIn0 @ ( sK164_SY371 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV69 @ xR )
= $true )
| ( ( SV69
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4284]) ).
thf(4348,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4285]) ).
thf(4349,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4285]) ).
thf(4350,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4286]) ).
thf(4351,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4286]) ).
thf(4352,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4287]) ).
thf(4353,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ xR @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4288]) ).
thf(4354,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4290]) ).
thf(4355,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( aElement0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4291]) ).
thf(4356,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( aReductOfIn0 @ ( sK152_SY363 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV70 @ xR )
= $true )
| ( ( SV70
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4292]) ).
thf(4357,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4293]) ).
thf(4358,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( sdtmndtasgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4294]) ).
thf(4359,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4295]) ).
thf(4360,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
| ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4296]) ).
thf(4361,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4297]) ).
thf(4362,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4297]) ).
thf(4363,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4299]) ).
thf(4364,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4300]) ).
thf(4365,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4300]) ).
thf(4366,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4302]) ).
thf(4367,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4303]) ).
thf(4368,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4303]) ).
thf(4369,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4304]) ).
thf(4370,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4304]) ).
thf(4371,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4305]) ).
thf(4372,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4305]) ).
thf(4373,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4307]) ).
thf(4374,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4309]) ).
thf(4375,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4310]) ).
thf(4376,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4310]) ).
thf(4377,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4312]) ).
thf(4378,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4313]) ).
thf(4379,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4313]) ).
thf(4380,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4314]) ).
thf(4381,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4314]) ).
thf(4382,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4315]) ).
thf(4383,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4315]) ).
thf(4384,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4316]) ).
thf(4385,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4316]) ).
thf(4386,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4318]) ).
thf(4387,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4320]) ).
thf(4388,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4321]) ).
thf(4389,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4321]) ).
thf(4390,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4323]) ).
thf(4391,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4324]) ).
thf(4392,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4324]) ).
thf(4393,plain,
( ( ( ~ ( aElement0 @ sK95_SY332 )
| ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4325]) ).
thf(4394,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4327]) ).
thf(4395,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4396,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4329]) ).
thf(4397,plain,
( ( ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
| ( sK47_SY193 = sK48_SY203 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4330]) ).
thf(4398,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
| ( sK47_SY193 = sK48_SY203 ) )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4331]) ).
thf(4399,plain,
( ( ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
| ( sK36_SY162 = sK37_SY172 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4332]) ).
thf(4400,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
| ( sK36_SY162 = sK37_SY172 ) )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4333]) ).
thf(4401,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4334]) ).
thf(4402,plain,
( ( ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
| ( sK14_SY100 = sK15_SY110 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4335]) ).
thf(4403,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
| ( sK14_SY100 = sK15_SY110 ) )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4336]) ).
thf(4404,plain,
( ( ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
| ( sK3_SY69 = sK4_SY79 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4337]) ).
thf(4405,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
| ( sK3_SY69 = sK4_SY79 ) )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4338]) ).
thf(4406,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4339]) ).
thf(4407,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( aElement0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4341]) ).
thf(4408,plain,
! [SV8: $i,SV58: $i,SV67: $i] :
( ( ( aReductOfIn0 @ ( sK177_SY378 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK175_W3 @ SV67 @ SV58 @ SV8 ) @ SV58 @ xR )
= $true )
| ( ( SV58
= ( sK175_W3 @ SV67 @ SV58 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV58 )
= $false )
| ( ( aElement0 @ SV58 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV67 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4342]) ).
thf(4409,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( aElement0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4343]) ).
thf(4410,plain,
! [SV8: $i,SV59: $i,SV68: $i] :
( ( ( aReductOfIn0 @ ( sK174_SY376 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK172_W3 @ SV68 @ SV59 @ SV8 ) @ SV59 @ xR )
= $true )
| ( ( SV59
= ( sK172_W3 @ SV68 @ SV59 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV59 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV59 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV68 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4344]) ).
thf(4411,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4345]) ).
thf(4412,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4348]) ).
thf(4413,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ xR @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4349]) ).
thf(4414,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4350]) ).
thf(4415,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ xR @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4351]) ).
thf(4416,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4352]) ).
thf(4417,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4354]) ).
thf(4418,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4357]) ).
thf(4419,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( sdtmndtplgtdt0 @ SV89 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4359]) ).
thf(4420,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4360]) ).
thf(4421,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( aElement0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4361]) ).
thf(4422,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4362]) ).
thf(4423,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4363]) ).
thf(4424,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( aElement0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4364]) ).
thf(4425,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4365]) ).
thf(4426,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4366]) ).
thf(4427,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( aElement0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4367]) ).
thf(4428,plain,
! [SV8: $i,SV62: $i,SV71: $i] :
( ( ( aReductOfIn0 @ ( sK141_SY354 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK139_W3 @ SV71 @ SV62 @ SV8 ) @ SV62 @ xR )
= $true )
| ( ( SV62
= ( sK139_W3 @ SV71 @ SV62 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV62 )
= $false )
| ( ( aElement0 @ SV62 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV71 )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4368]) ).
thf(4429,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4369]) ).
thf(4430,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ xR @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4370]) ).
thf(4431,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( aElement0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4371]) ).
thf(4432,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4372]) ).
thf(4433,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4373]) ).
thf(4434,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4374]) ).
thf(4435,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4374]) ).
thf(4436,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4375]) ).
thf(4437,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4376]) ).
thf(4438,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4377]) ).
thf(4439,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4377]) ).
thf(4440,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4378]) ).
thf(4441,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4379]) ).
thf(4442,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( aElement0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4380]) ).
thf(4443,plain,
! [SV8: $i,SV63: $i,SV72: $i] :
( ( ( aReductOfIn0 @ ( sK126_SY344 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK124_W3 @ SV72 @ SV63 @ SV8 ) @ SV63 @ xR )
= $true )
| ( ( SV63
= ( sK124_W3 @ SV72 @ SV63 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV63 )
= $false )
| ( ( aElement0 @ SV63 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV72 )
= $false )
| ( ( aReductOfIn0 @ SV72 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4381]) ).
thf(4444,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4382]) ).
thf(4445,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ xR @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4383]) ).
thf(4446,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( aElement0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4384]) ).
thf(4447,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4385]) ).
thf(4448,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4386]) ).
thf(4449,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4387]) ).
thf(4450,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4387]) ).
thf(4451,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4388]) ).
thf(4452,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4389]) ).
thf(4453,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4390]) ).
thf(4454,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4390]) ).
thf(4455,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4391]) ).
thf(4456,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4392]) ).
thf(4457,plain,
( ( ( ~ ( aElement0 @ sK95_SY332 ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4393]) ).
thf(4458,plain,
( ( ( ~ ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4393]) ).
thf(4459,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4394]) ).
thf(4460,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4394]) ).
thf(4461,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4395]) ).
thf(4462,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4395]) ).
thf(4463,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4396]) ).
thf(4464,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4396]) ).
thf(4465,plain,
( ( ( sdtmndtplgtdt0 @ sK47_SY193 @ xR @ sK48_SY203 )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4397]) ).
thf(4466,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
| ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR ) )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4398]) ).
thf(4467,plain,
( ( ( sdtmndtplgtdt0 @ sK36_SY162 @ xR @ sK37_SY172 )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4399]) ).
thf(4468,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
| ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR ) )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4400]) ).
thf(4469,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4401]) ).
thf(4470,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4401]) ).
thf(4471,plain,
( ( ( sdtmndtplgtdt0 @ sK14_SY100 @ xR @ sK15_SY110 )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4402]) ).
thf(4472,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
| ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR ) )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4403]) ).
thf(4473,plain,
( ( ( sdtmndtplgtdt0 @ sK3_SY69 @ xR @ sK4_SY79 )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4404]) ).
thf(4474,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
| ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR ) )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4405]) ).
thf(4475,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4406]) ).
thf(4476,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4406]) ).
thf(4477,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4411]) ).
thf(4478,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4411]) ).
thf(4479,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4412]) ).
thf(4480,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4414]) ).
thf(4481,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4416]) ).
thf(4482,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4416]) ).
thf(4483,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4417]) ).
thf(4484,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4417]) ).
thf(4485,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4418]) ).
thf(4486,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4418]) ).
thf(4487,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4420]) ).
thf(4488,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4422]) ).
thf(4489,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4423]) ).
thf(4490,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4423]) ).
thf(4491,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4425]) ).
thf(4492,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4426]) ).
thf(4493,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4426]) ).
thf(4494,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4429]) ).
thf(4495,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4432]) ).
thf(4496,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4433]) ).
thf(4497,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4433]) ).
thf(4498,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4434]) ).
thf(4499,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
| ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4435]) ).
thf(4500,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4501,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4438]) ).
thf(4502,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
| ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4439]) ).
thf(4503,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4440]) ).
thf(4504,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4444]) ).
thf(4505,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4447]) ).
thf(4506,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4448]) ).
thf(4507,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4448]) ).
thf(4508,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4449]) ).
thf(4509,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
| ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4450]) ).
thf(4510,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4451]) ).
thf(4511,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4453]) ).
thf(4512,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
| ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4454]) ).
thf(4513,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4455]) ).
thf(4514,plain,
( ( ( aElement0 @ sK95_SY332 )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4457]) ).
thf(4515,plain,
( ( ( aReductOfIn0 @ sK95_SY332 @ sK91_SY317 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK92_SY327 @ sK91_SY317 @ xR )
= $true )
| ( ( sK91_SY317 = sK92_SY327 )
= $true )
| ( sK108_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4458]) ).
thf(4516,plain,
( ( ( ~ ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4459]) ).
thf(4517,plain,
( ( ( sdtmndtplgtdt0 @ sK84_SY301 @ xR @ sK81_SY296 )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4460]) ).
thf(4518,plain,
( ( ( ~ ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4461]) ).
thf(4519,plain,
( ( ( sdtmndtplgtdt0 @ sK73_SY270 @ xR @ sK70_SY265 )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4462]) ).
thf(4520,plain,
( ( ( ~ ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4463]) ).
thf(4521,plain,
( ( ( sdtmndtplgtdt0 @ sK62_SY239 @ xR @ sK59_SY234 )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4464]) ).
thf(4522,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4466]) ).
thf(4523,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4468]) ).
thf(4524,plain,
( ( ( ~ ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4469]) ).
thf(4525,plain,
( ( ( sdtmndtplgtdt0 @ sK29_SY146 @ xR @ sK26_SY141 )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4470]) ).
thf(4526,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4472]) ).
thf(4527,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) ) )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[4474]) ).
thf(4528,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( aElement0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4475]) ).
thf(4529,plain,
! [SV102: $i,SV8: $i,SV41: $i,SV47: $i] :
( ( ( aReductOfIn0 @ ( sK180_SY380 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK178_W3 @ SV47 @ SV41 @ SV8 ) @ SV41 @ xR )
= $true )
| ( ( SV41
= ( sK178_W3 @ SV47 @ SV41 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV102 @ xR @ SV41 )
= $false )
| ( ( aElement0 @ SV102 )
= $false )
| ( ( aReductOfIn0 @ SV102 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV41 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV47 )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4476]) ).
thf(4530,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4477]) ).
thf(4531,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ xR @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4478]) ).
thf(4532,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4479]) ).
thf(4533,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4479]) ).
thf(4534,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4480]) ).
thf(4535,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4480]) ).
thf(4536,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( aElement0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4481]) ).
thf(4537,plain,
! [SV111: $i,SV8: $i,SV43: $i,SV49: $i] :
( ( ( aReductOfIn0 @ ( sK156_SY364 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK154_W3 @ SV49 @ SV43 @ SV8 ) @ SV43 @ xR )
= $true )
| ( ( SV43
= ( sK154_W3 @ SV49 @ SV43 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtasgtdt0 @ SV8 @ xR @ SV43 )
= $false )
| ( ( aElement0 @ SV43 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV49 )
= $false )
| ( ( aReductOfIn0 @ SV111 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV111 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV111 @ xR @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4482]) ).
thf(4538,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4483]) ).
thf(4539,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ xR @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4484]) ).
thf(4540,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( aElement0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4485]) ).
thf(4541,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4486]) ).
thf(4542,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4487]) ).
thf(4543,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4488]) ).
thf(4544,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4488]) ).
thf(4545,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4489]) ).
thf(4546,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4490]) ).
thf(4547,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4491]) ).
thf(4548,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4491]) ).
thf(4549,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4492]) ).
thf(4550,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4493]) ).
thf(4551,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4494]) ).
thf(4552,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4494]) ).
thf(4553,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4495]) ).
thf(4554,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4495]) ).
thf(4555,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4496]) ).
thf(4556,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4497]) ).
thf(4557,plain,
! [SV8: $i,SV121: $i,SV114: $i] :
( ( ( sdtmndtplgtdt0 @ SV114 @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4498]) ).
thf(4558,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4499]) ).
thf(4559,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4500]) ).
thf(4560,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4500]) ).
thf(4561,plain,
! [SV8: $i,SV122: $i,SV115: $i] :
( ( ( sdtmndtplgtdt0 @ SV115 @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4501]) ).
thf(4562,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4502]) ).
thf(4563,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4503]) ).
thf(4564,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4503]) ).
thf(4565,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4504]) ).
thf(4566,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4504]) ).
thf(4567,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4505]) ).
thf(4568,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4505]) ).
thf(4569,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4506]) ).
thf(4570,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4507]) ).
thf(4571,plain,
! [SV8: $i,SV123: $i,SV116: $i] :
( ( ( sdtmndtplgtdt0 @ SV116 @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4508]) ).
thf(4572,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4509]) ).
thf(4573,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4510]) ).
thf(4574,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4510]) ).
thf(4575,plain,
! [SV8: $i,SV124: $i,SV117: $i] :
( ( ( sdtmndtplgtdt0 @ SV117 @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4511]) ).
thf(4576,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4512]) ).
thf(4577,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4513]) ).
thf(4578,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4513]) ).
thf(4579,plain,
( ( ( ~ ( aElement0 @ sK84_SY301 )
| ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4516]) ).
thf(4580,plain,
( ( ( ~ ( aElement0 @ sK73_SY270 )
| ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4518]) ).
thf(4581,plain,
( ( ( ~ ( aElement0 @ sK62_SY239 )
| ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4520]) ).
thf(4582,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4522]) ).
thf(4583,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4523]) ).
thf(4584,plain,
( ( ( ~ ( aElement0 @ sK29_SY146 )
| ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4524]) ).
thf(4585,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4526]) ).
thf(4586,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4527]) ).
thf(4587,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4530]) ).
thf(4588,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( aElement0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4532]) ).
thf(4589,plain,
! [SV8: $i,SV80: $i,SV87: $i] :
( ( ( aReductOfIn0 @ ( sK162_SY368 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK160_W3 @ SV87 @ SV80 @ SV8 ) @ SV80 @ xR )
= $true )
| ( ( SV80
= ( sK160_W3 @ SV87 @ SV80 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV80 )
= $false )
| ( ( aElement0 @ SV80 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV87 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4533]) ).
thf(4590,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( aElement0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4534]) ).
thf(4591,plain,
! [SV8: $i,SV81: $i,SV88: $i] :
( ( ( aReductOfIn0 @ ( sK159_SY366 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK157_W3 @ SV88 @ SV81 @ SV8 ) @ SV81 @ xR )
= $true )
| ( ( SV81
= ( sK157_W3 @ SV88 @ SV81 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV81 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV81 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV88 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4535]) ).
thf(4592,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4538]) ).
thf(4593,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4541]) ).
thf(4594,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4542]) ).
thf(4595,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4542]) ).
thf(4596,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4543]) ).
thf(4597,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
| ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4544]) ).
thf(4598,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4545]) ).
thf(4599,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4547]) ).
thf(4600,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
| ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4548]) ).
thf(4601,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4549]) ).
thf(4602,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( aElement0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4551]) ).
thf(4603,plain,
! [SV8: $i,SV83: $i,SV90: $i] :
( ( ( aReductOfIn0 @ ( sK138_SY352 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK136_W3 @ SV90 @ SV83 @ SV8 ) @ SV83 @ xR )
= $true )
| ( ( SV83
= ( sK136_W3 @ SV90 @ SV83 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV83 )
= $false )
| ( ( aElement0 @ SV83 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV90 )
= $false )
| ( ( SV8 = SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4552]) ).
thf(4604,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4553]) ).
thf(4605,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
| ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4554]) ).
thf(4606,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4555]) ).
thf(4607,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4558]) ).
thf(4608,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( aElement0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4559]) ).
thf(4609,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( aReductOfIn0 @ ( sK131_SY349 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV121 @ xR )
= $true )
| ( ( SV121
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4560]) ).
thf(4610,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4562]) ).
thf(4611,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( aElement0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4563]) ).
thf(4612,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( aReductOfIn0 @ ( sK128_SY347 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV122 @ xR )
= $true )
| ( ( SV122
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4564]) ).
thf(4613,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( aElement0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4565]) ).
thf(4614,plain,
! [SV8: $i,SV84: $i,SV91: $i] :
( ( ( aReductOfIn0 @ ( sK123_SY342 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK121_W3 @ SV91 @ SV84 @ SV8 ) @ SV84 @ xR )
= $true )
| ( ( SV84
= ( sK121_W3 @ SV91 @ SV84 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV84 )
= $false )
| ( ( aElement0 @ SV84 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV91 )
= $false )
| ( ( aReductOfIn0 @ SV91 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4566]) ).
thf(4615,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4567]) ).
thf(4616,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
| ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4568]) ).
thf(4617,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4569]) ).
thf(4618,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4572]) ).
thf(4619,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( aElement0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4573]) ).
thf(4620,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( aReductOfIn0 @ ( sK116_SY339 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV123 @ xR )
= $true )
| ( ( SV123
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4574]) ).
thf(4621,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4576]) ).
thf(4622,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( aElement0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4577]) ).
thf(4623,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( aReductOfIn0 @ ( sK113_SY337 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV124 @ xR )
= $true )
| ( ( SV124
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4578]) ).
thf(4624,plain,
( ( ( ~ ( aElement0 @ sK84_SY301 ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4579]) ).
thf(4625,plain,
( ( ( ~ ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4579]) ).
thf(4626,plain,
( ( ( ~ ( aElement0 @ sK73_SY270 ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4580]) ).
thf(4627,plain,
( ( ( ~ ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4580]) ).
thf(4628,plain,
( ( ( ~ ( aElement0 @ sK62_SY239 ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4581]) ).
thf(4629,plain,
( ( ( ~ ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4581]) ).
thf(4630,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4582]) ).
thf(4631,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4582]) ).
thf(4632,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4583]) ).
thf(4633,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4583]) ).
thf(4634,plain,
( ( ( ~ ( aElement0 @ sK29_SY146 ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4584]) ).
thf(4635,plain,
( ( ( ~ ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4584]) ).
thf(4636,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4585]) ).
thf(4637,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4585]) ).
thf(4638,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4586]) ).
thf(4639,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4586]) ).
thf(4640,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4587]) ).
thf(4641,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4587]) ).
thf(4642,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4592]) ).
thf(4643,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4592]) ).
thf(4644,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( ~ ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4593]) ).
thf(4645,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $false )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4593]) ).
thf(4646,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4594]) ).
thf(4647,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4595]) ).
thf(4648,plain,
! [SV130: $i,SV8: $i,SV103: $i,SV97: $i] :
( ( ( sdtmndtplgtdt0 @ SV97 @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4596]) ).
thf(4649,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4597]) ).
thf(4650,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4598]) ).
thf(4651,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4598]) ).
thf(4652,plain,
! [SV131: $i,SV8: $i,SV104: $i,SV98: $i] :
( ( ( sdtmndtplgtdt0 @ SV98 @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4599]) ).
thf(4653,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4600]) ).
thf(4654,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4601]) ).
thf(4655,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4601]) ).
thf(4656,plain,
! [SV128: $i,SV8: $i,SV105: $i,SV99: $i] :
( ( ( sdtmndtplgtdt0 @ SV99 @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4604]) ).
thf(4657,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4605]) ).
thf(4658,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4606]) ).
thf(4659,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4606]) ).
thf(4660,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4607]) ).
thf(4661,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4610]) ).
thf(4662,plain,
! [SV129: $i,SV8: $i,SV106: $i,SV100: $i] :
( ( ( sdtmndtplgtdt0 @ SV100 @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4615]) ).
thf(4663,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4616]) ).
thf(4664,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4617]) ).
thf(4665,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4617]) ).
thf(4666,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4618]) ).
thf(4667,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4621]) ).
thf(4668,plain,
( ( ( aElement0 @ sK84_SY301 )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4624]) ).
thf(4669,plain,
( ( ( aReductOfIn0 @ sK84_SY301 @ sK80_SY286 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK81_SY296 @ sK80_SY286 @ xR )
= $true )
| ( ( sK80_SY286 = sK81_SY296 )
= $true )
| ( sK107_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4625]) ).
thf(4670,plain,
( ( ( aElement0 @ sK73_SY270 )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4626]) ).
thf(4671,plain,
( ( ( aReductOfIn0 @ sK73_SY270 @ sK69_SY255 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK70_SY265 @ sK69_SY255 @ xR )
= $true )
| ( ( sK69_SY255 = sK70_SY265 )
= $true )
| ( sK106_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4627]) ).
thf(4672,plain,
( ( ( aElement0 @ sK62_SY239 )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4628]) ).
thf(4673,plain,
( ( ( aReductOfIn0 @ sK62_SY239 @ sK58_SY224 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK59_SY234 @ sK58_SY224 @ xR )
= $true )
| ( ( sK58_SY224 = sK59_SY234 )
= $true )
| ( sK105_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4629]) ).
thf(4674,plain,
( ( ( ~ ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4630]) ).
thf(4675,plain,
( ( ( sdtmndtplgtdt0 @ sK51_SY208 @ xR @ sK48_SY203 )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4631]) ).
thf(4676,plain,
( ( ( ~ ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4632]) ).
thf(4677,plain,
( ( ( sdtmndtplgtdt0 @ sK40_SY177 @ xR @ sK37_SY172 )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4633]) ).
thf(4678,plain,
( ( ( aElement0 @ sK29_SY146 )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4634]) ).
thf(4679,plain,
( ( ( aReductOfIn0 @ sK29_SY146 @ sK25_SY131 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK26_SY141 @ sK25_SY131 @ xR )
= $true )
| ( ( sK25_SY131 = sK26_SY141 )
= $true )
| ( sK102_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4635]) ).
thf(4680,plain,
( ( ( ~ ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4636]) ).
thf(4681,plain,
( ( ( sdtmndtplgtdt0 @ sK18_SY115 @ xR @ sK15_SY110 )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4637]) ).
thf(4682,plain,
( ( ( ~ ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4638]) ).
thf(4683,plain,
( ( ( sdtmndtplgtdt0 @ sK7_SY84 @ xR @ sK4_SY79 )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4639]) ).
thf(4684,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( aElement0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4640]) ).
thf(4685,plain,
! [SV120: $i,SV8: $i,SV60: $i,SV69: $i] :
( ( ( aReductOfIn0 @ ( sK165_SY370 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK163_W3 @ SV69 @ SV60 @ SV8 ) @ SV60 @ xR )
= $true )
| ( ( SV60
= ( sK163_W3 @ SV69 @ SV60 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV120 @ xR @ SV60 )
= $false )
| ( ( aElement0 @ SV120 )
= $false )
| ( ( aReductOfIn0 @ SV120 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV60 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV69 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4641]) ).
thf(4686,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( aElement0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4642]) ).
thf(4687,plain,
! [SV125: $i,SV8: $i,SV61: $i,SV70: $i] :
( ( ( aReductOfIn0 @ ( sK153_SY362 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK151_W3 @ SV70 @ SV61 @ SV8 ) @ SV61 @ xR )
= $true )
| ( ( SV61
= ( sK151_W3 @ SV70 @ SV61 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV8 @ xR @ SV61 )
= $false )
| ( ( aElement0 @ SV61 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV70 )
= $false )
| ( ( aReductOfIn0 @ SV125 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV125 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV125 @ xR @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4643]) ).
thf(4688,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4644]) ).
thf(4689,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
| ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4645]) ).
thf(4690,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4646]) ).
thf(4691,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4649]) ).
thf(4692,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( aElement0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4650]) ).
thf(4693,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( aReductOfIn0 @ ( sK146_SY359 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV103 @ xR )
= $true )
| ( ( SV103
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4651]) ).
thf(4694,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4653]) ).
thf(4695,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( aElement0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4654]) ).
thf(4696,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( aReductOfIn0 @ ( sK143_SY357 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV104 @ xR )
= $true )
| ( ( SV104
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4655]) ).
thf(4697,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4657]) ).
thf(4698,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( aElement0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4658]) ).
thf(4699,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( aReductOfIn0 @ ( sK134_SY351 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV105 @ xR )
= $true )
| ( ( SV105
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4659]) ).
thf(4700,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4660]) ).
thf(4701,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4660]) ).
thf(4702,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4661]) ).
thf(4703,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4661]) ).
thf(4704,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4663]) ).
thf(4705,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( aElement0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4664]) ).
thf(4706,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( aReductOfIn0 @ ( sK119_SY341 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV106 @ xR )
= $true )
| ( ( SV106
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4665]) ).
thf(4707,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4666]) ).
thf(4708,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4666]) ).
thf(4709,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4667]) ).
thf(4710,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4667]) ).
thf(4711,plain,
( ( ( ~ ( aElement0 @ sK51_SY208 )
| ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4674]) ).
thf(4712,plain,
( ( ( ~ ( aElement0 @ sK40_SY177 )
| ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4676]) ).
thf(4713,plain,
( ( ( ~ ( aElement0 @ sK18_SY115 )
| ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4680]) ).
thf(4714,plain,
( ( ( ~ ( aElement0 @ sK7_SY84 )
| ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[4682]) ).
thf(4715,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV89: $i,SV82: $i] :
( ( ( sdtmndtplgtdt0 @ SV82 @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4688]) ).
thf(4716,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
| ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4689]) ).
thf(4717,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4690]) ).
thf(4718,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4690]) ).
thf(4719,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4691]) ).
thf(4720,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4694]) ).
thf(4721,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4697]) ).
thf(4722,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4700]) ).
thf(4723,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ xR @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4701]) ).
thf(4724,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4702]) ).
thf(4725,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ xR @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4703]) ).
thf(4726,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4704]) ).
thf(4727,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4707]) ).
thf(4728,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ xR @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4708]) ).
thf(4729,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4709]) ).
thf(4730,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ xR @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4710]) ).
thf(4731,plain,
( ( ( ~ ( aElement0 @ sK51_SY208 ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4711]) ).
thf(4732,plain,
( ( ( ~ ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4711]) ).
thf(4733,plain,
( ( ( ~ ( aElement0 @ sK40_SY177 ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4712]) ).
thf(4734,plain,
( ( ( ~ ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4712]) ).
thf(4735,plain,
( ( ( ~ ( aElement0 @ sK18_SY115 ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4713]) ).
thf(4736,plain,
( ( ( ~ ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4713]) ).
thf(4737,plain,
( ( ( ~ ( aElement0 @ sK7_SY84 ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4714]) ).
thf(4738,plain,
( ( ( ~ ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[4714]) ).
thf(4739,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4716]) ).
thf(4740,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( aElement0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4717]) ).
thf(4741,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( aReductOfIn0 @ ( sK149_SY361 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV89 @ xR )
= $true )
| ( ( SV89
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4718]) ).
thf(4742,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4719]) ).
thf(4743,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4719]) ).
thf(4744,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4720]) ).
thf(4745,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4720]) ).
thf(4746,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4721]) ).
thf(4747,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4721]) ).
thf(4748,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4722]) ).
thf(4749,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4724]) ).
thf(4750,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4726]) ).
thf(4751,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4726]) ).
thf(4752,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4727]) ).
thf(4753,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4729]) ).
thf(4754,plain,
( ( ( aElement0 @ sK51_SY208 )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4731]) ).
thf(4755,plain,
( ( ( aReductOfIn0 @ sK51_SY208 @ sK47_SY193 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK48_SY203 @ sK47_SY193 @ xR )
= $true )
| ( ( sK47_SY193 = sK48_SY203 )
= $true )
| ( sK104_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4732]) ).
thf(4756,plain,
( ( ( aElement0 @ sK40_SY177 )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4733]) ).
thf(4757,plain,
( ( ( aReductOfIn0 @ sK40_SY177 @ sK36_SY162 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK37_SY172 @ sK36_SY162 @ xR )
= $true )
| ( ( sK36_SY162 = sK37_SY172 )
= $true )
| ( sK103_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4734]) ).
thf(4758,plain,
( ( ( aElement0 @ sK18_SY115 )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4735]) ).
thf(4759,plain,
( ( ( aReductOfIn0 @ sK18_SY115 @ sK14_SY100 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK15_SY110 @ sK14_SY100 @ xR )
= $true )
| ( ( sK14_SY100 = sK15_SY110 )
= $true )
| ( sK101_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4736]) ).
thf(4760,plain,
( ( ( aElement0 @ sK7_SY84 )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4737]) ).
thf(4761,plain,
( ( ( aReductOfIn0 @ sK7_SY84 @ sK3_SY69 @ xR )
= $true )
| ( ( aReductOfIn0 @ sK4_SY79 @ sK3_SY69 @ xR )
= $true )
| ( ( sK3_SY69 = sK4_SY79 )
= $true )
| ( sK100_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[4738]) ).
thf(4762,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
| ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4739]) ).
thf(4763,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4742]) ).
thf(4764,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ xR @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4743]) ).
thf(4765,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4744]) ).
thf(4766,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ xR @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4745]) ).
thf(4767,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4746]) ).
thf(4768,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ xR @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4747]) ).
thf(4769,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4748]) ).
thf(4770,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4748]) ).
thf(4771,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4749]) ).
thf(4772,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4749]) ).
thf(4773,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4750]) ).
thf(4774,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ xR @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4751]) ).
thf(4775,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4752]) ).
thf(4776,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4752]) ).
thf(4777,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4753]) ).
thf(4778,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4753]) ).
thf(4779,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4762]) ).
thf(4780,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4762]) ).
thf(4781,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4763]) ).
thf(4782,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4765]) ).
thf(4783,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4767]) ).
thf(4784,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( aElement0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4769]) ).
thf(4785,plain,
! [SV8: $i,SV114: $i,SV121: $i] :
( ( ( aReductOfIn0 @ ( sK132_SY348 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK130_W3 @ SV121 @ SV114 @ SV8 ) @ SV114 @ xR )
= $true )
| ( ( SV114
= ( sK130_W3 @ SV121 @ SV114 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV114 )
= $false )
| ( ( aElement0 @ SV114 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV121 )
= $false )
| ( ( SV8 = SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4770]) ).
thf(4786,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( aElement0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4771]) ).
thf(4787,plain,
! [SV8: $i,SV115: $i,SV122: $i] :
( ( ( aReductOfIn0 @ ( sK129_SY346 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK127_W3 @ SV122 @ SV115 @ SV8 ) @ SV115 @ xR )
= $true )
| ( ( SV115
= ( sK127_W3 @ SV122 @ SV115 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV115 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV115 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV122 )
= $false )
| ( ( SV8 = SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4772]) ).
thf(4788,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4773]) ).
thf(4789,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( aElement0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4775]) ).
thf(4790,plain,
! [SV8: $i,SV116: $i,SV123: $i] :
( ( ( aReductOfIn0 @ ( sK117_SY338 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK115_W3 @ SV123 @ SV116 @ SV8 ) @ SV116 @ xR )
= $true )
| ( ( SV116
= ( sK115_W3 @ SV123 @ SV116 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV116 )
= $false )
| ( ( aElement0 @ SV116 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV123 )
= $false )
| ( ( aReductOfIn0 @ SV123 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4776]) ).
thf(4791,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( aElement0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4777]) ).
thf(4792,plain,
! [SV8: $i,SV117: $i,SV124: $i] :
( ( ( aReductOfIn0 @ ( sK114_SY336 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK112_W3 @ SV124 @ SV117 @ SV8 ) @ SV117 @ xR )
= $true )
| ( ( SV117
= ( sK112_W3 @ SV124 @ SV117 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV117 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV117 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV124 )
= $false )
| ( ( aReductOfIn0 @ SV124 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4778]) ).
thf(4793,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4779]) ).
thf(4794,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( sdtmndtplgtdt0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ xR @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4780]) ).
thf(4795,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4781]) ).
thf(4796,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4781]) ).
thf(4797,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4782]) ).
thf(4798,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4782]) ).
thf(4799,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4783]) ).
thf(4800,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4783]) ).
thf(4801,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4788]) ).
thf(4802,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4788]) ).
thf(4803,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
| ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4793]) ).
thf(4804,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( aElement0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4795]) ).
thf(4805,plain,
! [SV130: $i,SV8: $i,SV97: $i,SV103: $i] :
( ( ( aReductOfIn0 @ ( sK147_SY358 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK145_W3 @ SV103 @ SV97 @ SV8 ) @ SV97 @ xR )
= $true )
| ( ( SV97
= ( sK145_W3 @ SV103 @ SV97 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( SV8 = SV97 )
= $false )
| ( ( aElement0 @ SV97 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV103 )
= $false )
| ( ( aReductOfIn0 @ SV130 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV130 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV130 @ xR @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4796]) ).
thf(4806,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( aElement0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4797]) ).
thf(4807,plain,
! [SV131: $i,SV8: $i,SV98: $i,SV104: $i] :
( ( ( aReductOfIn0 @ ( sK144_SY356 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK142_W3 @ SV104 @ SV98 @ SV8 ) @ SV98 @ xR )
= $true )
| ( ( SV98
= ( sK142_W3 @ SV104 @ SV98 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( aReductOfIn0 @ SV98 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV98 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV104 )
= $false )
| ( ( aReductOfIn0 @ SV131 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV131 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV131 @ xR @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4798]) ).
thf(4808,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( aElement0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4799]) ).
thf(4809,plain,
! [SV128: $i,SV8: $i,SV99: $i,SV105: $i] :
( ( ( aReductOfIn0 @ ( sK135_SY350 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK133_W3 @ SV105 @ SV99 @ SV8 ) @ SV99 @ xR )
= $true )
| ( ( SV99
= ( sK133_W3 @ SV105 @ SV99 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV128 @ xR @ SV99 )
= $false )
| ( ( aElement0 @ SV128 )
= $false )
| ( ( aReductOfIn0 @ SV128 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV99 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV105 )
= $false )
| ( ( SV8 = SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4800]) ).
thf(4810,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( aElement0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4801]) ).
thf(4811,plain,
! [SV129: $i,SV8: $i,SV100: $i,SV106: $i] :
( ( ( aReductOfIn0 @ ( sK120_SY340 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK118_W3 @ SV106 @ SV100 @ SV8 ) @ SV100 @ xR )
= $true )
| ( ( SV100
= ( sK118_W3 @ SV106 @ SV100 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV129 @ xR @ SV100 )
= $false )
| ( ( aElement0 @ SV129 )
= $false )
| ( ( aReductOfIn0 @ SV129 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV100 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV106 )
= $false )
| ( ( aReductOfIn0 @ SV106 @ SV8 @ xR )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4802]) ).
thf(4812,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4803]) ).
thf(4813,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( ~ ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR ) )
= $false )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4803]) ).
thf(4814,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( aElement0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4812]) ).
thf(4815,plain,
! [SV132: $i,SV127: $i,SV8: $i,SV82: $i,SV89: $i] :
( ( ( aReductOfIn0 @ ( sK150_SY360 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( aReductOfIn0 @ ( sK148_W3 @ SV89 @ SV82 @ SV8 ) @ SV82 @ xR )
= $true )
| ( ( SV82
= ( sK148_W3 @ SV89 @ SV82 @ SV8 ) )
= $true )
| ( ( iLess0 @ SV8 @ xa )
= $false )
| ( ( sdtmndtplgtdt0 @ SV127 @ xR @ SV82 )
= $false )
| ( ( aElement0 @ SV127 )
= $false )
| ( ( aReductOfIn0 @ SV127 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV82 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( ( aElement0 @ SV89 )
= $false )
| ( ( aReductOfIn0 @ SV132 @ SV8 @ xR )
= $false )
| ( ( aElement0 @ SV132 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV132 @ xR @ SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4813]) ).
thf(4816,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,4815,4814,4811,4810,4809,4808,4807,4806,4805,4804,4794,4792,4791,4790,4789,4787,4786,4785,4784,4774,4768,4766,4764,4761,4760,4759,4758,4757,4756,4755,4754,4741,4740,4730,4728,4725,4723,4715,4706,4705,4699,4698,4696,4695,4693,4692,4687,4686,4685,4684,4683,4681,4679,4678,4677,4675,4673,4672,4671,4670,4669,4668,4662,4656,4652,4648,4647,4623,4622,4620,4619,4614,4613,4612,4611,4609,4608,4603,4602,4591,4590,4589,4588,4575,4571,4570,4561,4557,4556,4550,4546,4540,4539,4537,4536,4531,4529,4528,4525,4521,4519,4517,4515,4514,4473,4471,4467,4465,4456,4452,4446,4445,4443,4442,4441,4437,4431,4430,4428,4427,4424,4421,4419,4415,4413,4410,4409,4408,4407,4358,4356,4355,4353,4347,4346,4340,4326,4322,4319,4317,4311,4308,4306,4301,4298,4289,4281,4273,4269,4267,4265,4254,4252,4251,4249,4239,4237,4236,4234,4230,4226,4218,4217,4215,4214,4209,4208,4207,4205,4201,4199,4195,4193,4184,4181,4172,4168,4165,4156,4143,4139,4138,4133,4129,4128,4118,4117,4115,4114,4111,4110,4109,4108,4105,4104,4101,4100,4097,4096,4095,4094,4091,4090,4080,4076,4066,4062,4042,4026,4000,3989,3985,3984,3972,3968,3967,3958,3954,3950,3944,3943,3941,3940,3939,3938,3936,3935,3930,3929,3927,3923,3919,3917,3913,3909,3907,3905,3890,3877,3872,3867,3847,3843,3842,3836,3834,3831,3829,3827,3824,3822,3821,3818,3817,3816,3814,3811,3809,3807,3804,3802,3801,3798,3797,3796,3795,3792,3791,3790,3789,3786,3785,3782,3781,3773,3762,3753,3746,3743,3741,3676,3671,3663,3658,3654,3652,3647,3643,3634,3632,3631,3629,3627,3623,3617,3616,3614,3613,3603,3591,3587,3583,3579,3572,3562,3544,3541,3532,3516,3515,3511,3510,3508,3507,3503,3502,3500,3498,3495,3493,3492,3488,3487,3485,3484,3480,3479,3477,3475,3472,3470,3468,3465,3463,3461,3458,3456,3455,3452,3451,3450,3448,3446,3441,3437,3436,3434,3429,3425,3418,3414,3410,3400,3397,3395,3388,3383,3379,3374,3364,3359,3355,3350,3293,3281,3277,3276,3266,3264,3263,3261,3256,3248,3236,3228,3210,3200,3192,3169,3167,3164,3155,3152,3146,3142,3141,3140,3134,3130,3129,3128,3127,3123,3122,3120,3114,3110,3109,3108,3102,3098,3097,3096,3095,3091,3090,3088,3087,3083,3082,3080,3079,3075,3074,3072,3070,3067,3065,3064,3055,3046,3031,3025,3021,2992,2987,2965,2960,2956,2951,2947,2942,2932,2910,2902,2897,2883,2879,2878,2871,2864,2859,2849,2842,2837,2829,2821,2785,2768,2761,2759,2758,2751,2749,2748,2747,2741,2737,2736,2729,2727,2726,2719,2717,2716,2715,2709,2705,2704,2703,2697,2693,2692,2691,2685,2681,2680,2679,2678,2674,2673,2671,2664,2657,2648,2646,2641,2637,2629,2624,2621,2614,2611,2595,2592,2585,2582,2546,2541,2519,2501,2496,2490,2486,2480,2476,2467,2463,2459,2453,2449,2440,2433,2426,2421,2414,2391,2384,2370,2359,2351,2349,2348,2338,2327,2319,2317,2316,2309,2307,2306,2299,2297,2296,2295,2289,2285,2284,2283,2275,2269,2255,2253,2251,2246,2242,2236,2228,2224,2221,2210,2202,2198,2195,2188,2185,2178,2175,2158,2112,2111,2103,2102,2098,2094,2084,2083,2075,2074,2070,2066,2060,2056,2050,2046,2037,2035,2034,2033,2032,2028,1999,1970,1941,1930,1919,1911,1909,1908,1880,1869,1862,1856,1850,1842,1836,1830,1822,1814,1810,1807,1801,1800,1798,1797,1759,1757,1751,1750,1749,1747,1741,1740,1733,1732,1730,1728,1722,1721,1720,1718,1712,1711,1710,1703,1702,1694,1693,1685,1684,1680,1676,1549,1517,1512,1493,1476,1470,1464,1458,1415,1409,1405,1403,1397,1396,1393,1387,1382,1380,1374,1373,1372,1370,1364,1363,1362,1360,1354,1353,1346,1345,1334,1333,1332,1330,1192,1184,1175,1150,1146,1142,1137,1136,1106,1102,1097,1091,1086,1081,1075,1069,1065,1063,1057,1056,1043,1039,903,896,887,883,874,873,870,841,831,826,822,817,769,662,655,618,573,563,542,541,492,488,406,354,340,339,324,323,278,248,247,238,228,219,184,183,169,141,136,127,121,75,74,63,61]) ).
thf(4817,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM022+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Thu Jun 16 20:14:11 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.21/0.45
% 0.21/0.45 No.of.Axioms: 12
% 0.21/0.45
% 0.21/0.45 Length.of.Defs: 0
% 0.21/0.45
% 0.21/0.45 Contains.Choice.Funs: false
% 0.21/0.52 (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:14,loop_count:0,foatp_calls:0,translation:fof_full)..................................................................................................................................................................................................................................................................................................................
% 5.94/6.15
% 5.94/6.15 ********************************
% 5.94/6.15 * All subproblems solved! *
% 5.94/6.15 ********************************
% 5.94/6.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:70,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4816,loop_count:0,foatp_calls:1,translation:fof_full)
% 28.19/28.36
% 28.19/28.36 %**** Beginning of derivation protocol ****
% 28.19/28.36 % SZS output start CNFRefutation
% See solution above
% 28.20/28.40
% 28.20/28.40 %**** End of derivation protocol ****
% 28.20/28.40 %**** no. of clauses in derivation: 4817 ****
% 28.20/28.40 %**** clause counter: 4816 ****
% 28.20/28.40
% 28.20/28.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:70,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4816,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------