%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU822^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:02 AM UTC 2026
% Result : Theorem 74.37s 12.75s
% Output : CNFRefutation 74.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 5
% Syntax : Number of formulae : 2840 ( 46 unt; 0 typ; 4 def)
% Number of atoms : 63185 (20872 equ; 0 cnn)
% Maximal formula atoms : 8 ( 22 avg)
% Number of connectives : 97627 (12129 ~;22554 |; 48 &;62799 @)
% ( 0 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 178 ( 175 usr; 4 con; 0-2 aty)
% Number of variables : 9481 ( 3 ^;9470 !; 8 ?;9481 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_nonempty,type,
nonempty: $i > $o ).
thf(tp_ordinal,type,
ordinal: $i > $o ).
thf(tp_ordinalIrrefl,type,
ordinalIrrefl: $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_sK100_SY58,type,
sK100_SY58: $i > $i ).
thf(tp_sK101_SY58,type,
sK101_SY58: $i > $i ).
thf(tp_sK102_SY58,type,
sK102_SY58: $i > $i ).
thf(tp_sK103_SY58,type,
sK103_SY58: $i > $i ).
thf(tp_sK104_SY58,type,
sK104_SY58: $i > $i ).
thf(tp_sK105_SY58,type,
sK105_SY58: $i > $i ).
thf(tp_sK106_SY58,type,
sK106_SY58: $i > $i ).
thf(tp_sK107_SY58,type,
sK107_SY58: $i > $i ).
thf(tp_sK108_SY58,type,
sK108_SY58: $i > $i ).
thf(tp_sK109_SY58,type,
sK109_SY58: $i > $i ).
thf(tp_sK10_SY82,type,
sK10_SY82: $i > $i ).
thf(tp_sK110_SY137,type,
sK110_SY137: $i > $i > $i ).
thf(tp_sK111_SY138,type,
sK111_SY138: $i > $i > $i ).
thf(tp_sK112_SY139,type,
sK112_SY139: $i > $i > $i ).
thf(tp_sK113_SY140,type,
sK113_SY140: $i > $i > $i ).
thf(tp_sK114_SY141,type,
sK114_SY141: $i > $i > $i ).
thf(tp_sK115_SY142,type,
sK115_SY142: $i > $i > $i ).
thf(tp_sK116_SY159,type,
sK116_SY159: $i > $i > $i ).
thf(tp_sK117_SY160,type,
sK117_SY160: $i > $i > $i ).
thf(tp_sK118_SY161,type,
sK118_SY161: $i > $i > $i ).
thf(tp_sK119_SY162,type,
sK119_SY162: $i > $i > $i ).
thf(tp_sK11_SY55,type,
sK11_SY55: $i > $i ).
thf(tp_sK120_SY179,type,
sK120_SY179: $i > $i > $i ).
thf(tp_sK121_SY180,type,
sK121_SY180: $i > $i > $i ).
thf(tp_sK122_SY181,type,
sK122_SY181: $i > $i > $i ).
thf(tp_sK123_SY182,type,
sK123_SY182: $i > $i > $i ).
thf(tp_sK124_SY183,type,
sK124_SY183: $i > $i > $i ).
thf(tp_sK125_SY184,type,
sK125_SY184: $i > $i > $i ).
thf(tp_sK126_SY193,type,
sK126_SY193: $i > $i > $i ).
thf(tp_sK127_SY194,type,
sK127_SY194: $i > $i > $i ).
thf(tp_sK128_SY195,type,
sK128_SY195: $i > $i > $i ).
thf(tp_sK129_SY196,type,
sK129_SY196: $i > $i > $i ).
thf(tp_sK12_SY55,type,
sK12_SY55: $i > $i ).
thf(tp_sK130_SY197,type,
sK130_SY197: $i > $i > $i ).
thf(tp_sK131_SY198,type,
sK131_SY198: $i > $i > $i ).
thf(tp_sK132_SY199,type,
sK132_SY199: $i > $i > $i ).
thf(tp_sK133_SY200,type,
sK133_SY200: $i > $i > $i ).
thf(tp_sK134_SY201,type,
sK134_SY201: $i > $i > $i ).
thf(tp_sK135_SY202,type,
sK135_SY202: $i > $i > $i ).
thf(tp_sK136_SY219,type,
sK136_SY219: $i > $i > $i ).
thf(tp_sK137_SY220,type,
sK137_SY220: $i > $i > $i ).
thf(tp_sK138_SY221,type,
sK138_SY221: $i > $i > $i ).
thf(tp_sK139_SY222,type,
sK139_SY222: $i > $i > $i ).
thf(tp_sK13_SY57,type,
sK13_SY57: $i > $i ).
thf(tp_sK140_SY223,type,
sK140_SY223: $i > $i > $i ).
thf(tp_sK141_SY224,type,
sK141_SY224: $i > $i > $i ).
thf(tp_sK142_SY225,type,
sK142_SY225: $i > $i > $i ).
thf(tp_sK143_SY226,type,
sK143_SY226: $i > $i > $i ).
thf(tp_sK144_SY243,type,
sK144_SY243: $i > $i > $i ).
thf(tp_sK145_SY244,type,
sK145_SY244: $i > $i > $i ).
thf(tp_sK146_SY245,type,
sK146_SY245: $i > $i > $i ).
thf(tp_sK147_SY246,type,
sK147_SY246: $i > $i > $i ).
thf(tp_sK148_SY247,type,
sK148_SY247: $i > $i > $i ).
thf(tp_sK149_SY248,type,
sK149_SY248: $i > $i > $i ).
thf(tp_sK14_SY57,type,
sK14_SY57: $i > $i ).
thf(tp_sK150_SY249,type,
sK150_SY249: $i > $i > $i ).
thf(tp_sK151_SY250,type,
sK151_SY250: $i > $i > $i ).
thf(tp_sK152_SY251,type,
sK152_SY251: $i > $i > $i ).
thf(tp_sK153_SY252,type,
sK153_SY252: $i > $i > $i ).
thf(tp_sK154_SY253,type,
sK154_SY253: $i > $i > $i ).
thf(tp_sK155_SY254,type,
sK155_SY254: $i > $i > $i ).
thf(tp_sK156_SY255,type,
sK156_SY255: $i > $i > $i ).
thf(tp_sK157_SY256,type,
sK157_SY256: $i > $i > $i ).
thf(tp_sK158_SY257,type,
sK158_SY257: $i > $i > $i ).
thf(tp_sK159_SY258,type,
sK159_SY258: $i > $i > $i ).
thf(tp_sK15_SY57,type,
sK15_SY57: $i > $i ).
thf(tp_sK160_SY259,type,
sK160_SY259: $i > $i > $i ).
thf(tp_sK161_SY260,type,
sK161_SY260: $i > $i > $i ).
thf(tp_sK162_SY261,type,
sK162_SY261: $i > $i > $i ).
thf(tp_sK163_SY262,type,
sK163_SY262: $i > $i > $i ).
thf(tp_sK164_SY263,type,
sK164_SY263: $i > $i > $i ).
thf(tp_sK165_SY264,type,
sK165_SY264: $i > $i > $i ).
thf(tp_sK166_SY265,type,
sK166_SY265: $i > $i > $i ).
thf(tp_sK167_SY266,type,
sK167_SY266: $i > $i > $i ).
thf(tp_sK16_SY83,type,
sK16_SY83: $i > $i ).
thf(tp_sK17_SY84,type,
sK17_SY84: $i > $i ).
thf(tp_sK18_SY57,type,
sK18_SY57: $i > $i ).
thf(tp_sK19_SY57,type,
sK19_SY57: $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY58,type,
sK20_SY58: $i > $i ).
thf(tp_sK21_SY58,type,
sK21_SY58: $i > $i ).
thf(tp_sK22_SY57,type,
sK22_SY57: $i > $i ).
thf(tp_sK23_SY57,type,
sK23_SY57: $i > $i ).
thf(tp_sK24_SY57,type,
sK24_SY57: $i > $i ).
thf(tp_sK25_SY55,type,
sK25_SY55: $i > $i ).
thf(tp_sK26_SY55,type,
sK26_SY55: $i > $i ).
thf(tp_sK27_SY57,type,
sK27_SY57: $i > $i ).
thf(tp_sK28_SY57,type,
sK28_SY57: $i > $i ).
thf(tp_sK29_SY57,type,
sK29_SY57: $i > $i ).
thf(tp_sK2_SY71,type,
sK2_SY71: $i > $i ).
thf(tp_sK30_SY58,type,
sK30_SY58: $i > $i ).
thf(tp_sK31_SY58,type,
sK31_SY58: $i > $i ).
thf(tp_sK32_SY58,type,
sK32_SY58: $i > $i ).
thf(tp_sK33_SY58,type,
sK33_SY58: $i > $i ).
thf(tp_sK34_SY58,type,
sK34_SY58: $i > $i ).
thf(tp_sK35_SY58,type,
sK35_SY58: $i > $i ).
thf(tp_sK36_SY57,type,
sK36_SY57: $i > $i ).
thf(tp_sK37_SY57,type,
sK37_SY57: $i > $i ).
thf(tp_sK38_SY89,type,
sK38_SY89: $i > $i ).
thf(tp_sK39_SY90,type,
sK39_SY90: $i > $i ).
thf(tp_sK3_SY52,type,
sK3_SY52: $i > $i ).
thf(tp_sK40_SY57,type,
sK40_SY57: $i > $i ).
thf(tp_sK41_SY57,type,
sK41_SY57: $i > $i ).
thf(tp_sK42_SY58,type,
sK42_SY58: $i > $i ).
thf(tp_sK43_SY58,type,
sK43_SY58: $i > $i ).
thf(tp_sK44_SY58,type,
sK44_SY58: $i > $i ).
thf(tp_sK45_SY58,type,
sK45_SY58: $i > $i ).
thf(tp_sK46_SY57,type,
sK46_SY57: $i > $i ).
thf(tp_sK47_SY57,type,
sK47_SY57: $i > $i ).
thf(tp_sK48_SY57,type,
sK48_SY57: $i > $i ).
thf(tp_sK49_SY57,type,
sK49_SY57: $i > $i ).
thf(tp_sK4_SY77,type,
sK4_SY77: $i > $i ).
thf(tp_sK50_SY58,type,
sK50_SY58: $i > $i ).
thf(tp_sK51_SY58,type,
sK51_SY58: $i > $i ).
thf(tp_sK52_SY58,type,
sK52_SY58: $i > $i ).
thf(tp_sK53_SY58,type,
sK53_SY58: $i > $i ).
thf(tp_sK54_SY58,type,
sK54_SY58: $i > $i ).
thf(tp_sK55_SY58,type,
sK55_SY58: $i > $i ).
thf(tp_sK56_SY57,type,
sK56_SY57: $i > $i ).
thf(tp_sK57_SY57,type,
sK57_SY57: $i > $i ).
thf(tp_sK58_SY58,type,
sK58_SY58: $i > $i ).
thf(tp_sK59_SY58,type,
sK59_SY58: $i > $i ).
thf(tp_sK5_SY55,type,
sK5_SY55: $i > $i ).
thf(tp_sK60_SY58,type,
sK60_SY58: $i > $i ).
thf(tp_sK61_SY58,type,
sK61_SY58: $i > $i ).
thf(tp_sK62_SY58,type,
sK62_SY58: $i > $i ).
thf(tp_sK63_SY58,type,
sK63_SY58: $i > $i ).
thf(tp_sK64_SY58,type,
sK64_SY58: $i > $i ).
thf(tp_sK65_SY58,type,
sK65_SY58: $i > $i ).
thf(tp_sK66_SY58,type,
sK66_SY58: $i > $i ).
thf(tp_sK67_SY58,type,
sK67_SY58: $i > $i ).
thf(tp_sK68_SY57,type,
sK68_SY57: $i > $i ).
thf(tp_sK69_SY57,type,
sK69_SY57: $i > $i ).
thf(tp_sK6_SY79,type,
sK6_SY79: $i > $i ).
thf(tp_sK70_SY57,type,
sK70_SY57: $i > $i ).
thf(tp_sK71_SY57,type,
sK71_SY57: $i > $i ).
thf(tp_sK72_SY58,type,
sK72_SY58: $i > $i ).
thf(tp_sK73_SY58,type,
sK73_SY58: $i > $i ).
thf(tp_sK74_SY58,type,
sK74_SY58: $i > $i ).
thf(tp_sK75_SY58,type,
sK75_SY58: $i > $i ).
thf(tp_sK76_SY58,type,
sK76_SY58: $i > $i ).
thf(tp_sK77_SY58,type,
sK77_SY58: $i > $i ).
thf(tp_sK78_SY58,type,
sK78_SY58: $i > $i ).
thf(tp_sK79_SY58,type,
sK79_SY58: $i > $i ).
thf(tp_sK7_SY81,type,
sK7_SY81: $i > $i ).
thf(tp_sK80_SY57,type,
sK80_SY57: $i > $i ).
thf(tp_sK81_SY57,type,
sK81_SY57: $i > $i ).
thf(tp_sK82_SY57,type,
sK82_SY57: $i > $i ).
thf(tp_sK83_SY57,type,
sK83_SY57: $i > $i ).
thf(tp_sK84_SY58,type,
sK84_SY58: $i > $i ).
thf(tp_sK85_SY58,type,
sK85_SY58: $i > $i ).
thf(tp_sK86_SY58,type,
sK86_SY58: $i > $i ).
thf(tp_sK87_SY58,type,
sK87_SY58: $i > $i ).
thf(tp_sK88_SY58,type,
sK88_SY58: $i > $i ).
thf(tp_sK89_SY58,type,
sK89_SY58: $i > $i ).
thf(tp_sK8_SY55,type,
sK8_SY55: $i > $i ).
thf(tp_sK90_SY58,type,
sK90_SY58: $i > $i ).
thf(tp_sK91_SY58,type,
sK91_SY58: $i > $i ).
thf(tp_sK92_SY111,type,
sK92_SY111: $i > $i > $i ).
thf(tp_sK93_SY112,type,
sK93_SY112: $i > $i > $i ).
thf(tp_sK94_SY58,type,
sK94_SY58: $i > $i ).
thf(tp_sK95_SY58,type,
sK95_SY58: $i > $i ).
thf(tp_sK96_SY58,type,
sK96_SY58: $i > $i ).
thf(tp_sK97_SY58,type,
sK97_SY58: $i > $i ).
thf(tp_sK98_SY58,type,
sK98_SY58: $i > $i ).
thf(tp_sK99_SY58,type,
sK99_SY58: $i > $i ).
thf(tp_sK9_SY57,type,
sK9_SY57: $i > $i ).
thf(tp_stricttotalorderedByIn,type,
stricttotalorderedByIn: $i > $o ).
thf(tp_transitiveset,type,
transitiveset: $i > $o ).
thf(tp_wellorderedByIn,type,
wellorderedByIn: $i > $o ).
thf(ordinal,definition,
( ordinal
= ( ^ [Xx: $i] :
( ( transitiveset @ Xx )
& ( wellorderedByIn @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal) ).
thf(ordinalIrrefl,definition,
( ordinalIrrefl
= ( ! [X: $i] :
( ( ordinal @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ~ ( in @ A @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinalIrrefl) ).
thf(stricttotalorderedByIn,definition,
( stricttotalorderedByIn
= ( ^ [A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( ( in @ Xx @ X )
& ( in @ X @ Y ) )
=> ( in @ Xx @ Y ) ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( X = Y )
| ( in @ X @ Y )
| ( in @ Y @ X ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ~ ( in @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricttotalorderedByIn) ).
thf(wellorderedByIn,definition,
( wellorderedByIn
= ( ^ [A: $i] :
( ( stricttotalorderedByIn @ A )
& ! [X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( ( nonempty @ X )
=> ? [Xx: $i] :
( ( in @ Xx @ X )
& ! [Y: $i] :
( ( in @ Y @ X )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellorderedByIn) ).
thf(1,conjecture,
( ordinalIrrefl
=> ! [X: $i] :
( ( ordinal @ X )
=> ~ ( in @ X @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinalIrrefl2) ).
thf(2,negated_conjecture,
( ( ordinalIrrefl
=> ! [X: $i] :
( ( ordinal @ X )
=> ~ ( in @ X @ X ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY10: $i] :
( ( ( transitiveset @ SY10 )
& ! [SY11: $i] :
( ( in @ SY11 @ SY10 )
=> ! [SY12: $i] :
( ( in @ SY12 @ SY10 )
=> ! [SY13: $i] :
( ( in @ SY13 @ SY10 )
=> ( ( ( in @ SY11 @ SY12 )
& ( in @ SY12 @ SY13 ) )
=> ( in @ SY11 @ SY13 ) ) ) ) )
& ! [SY14: $i] :
( ( in @ SY14 @ SY10 )
=> ! [SY15: $i] :
( ( in @ SY15 @ SY10 )
=> ( ( SY14 = SY15 )
| ( in @ SY14 @ SY15 )
| ( in @ SY15 @ SY14 ) ) ) )
& ! [SY16: $i] :
( ( in @ SY16 @ SY10 )
=> ~ ( in @ SY16 @ SY16 ) )
& ! [SY17: $i] :
( ( in @ SY17 @ ( powerset @ SY10 ) )
=> ( ( nonempty @ SY17 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY17 )
& ! [Y: $i] :
( ( in @ Y @ SY17 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ! [A: $i] :
( ( in @ A @ SY10 )
=> ~ ( in @ A @ A ) ) )
=> ! [SY0: $i] :
( ( ( transitiveset @ SY0 )
& ! [SY1: $i] :
( ( in @ SY1 @ SY0 )
=> ! [SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ! [SY3: $i] :
( ( in @ SY3 @ SY0 )
=> ( ( ( in @ SY1 @ SY2 )
& ( in @ SY2 @ SY3 ) )
=> ( in @ SY1 @ SY3 ) ) ) ) )
& ! [SY4: $i] :
( ( in @ SY4 @ SY0 )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( ( SY4 = SY5 )
| ( in @ SY4 @ SY5 )
| ( in @ SY5 @ SY4 ) ) ) )
& ! [SY6: $i] :
( ( in @ SY6 @ SY0 )
=> ~ ( in @ SY6 @ SY6 ) )
& ! [SY7: $i] :
( ( in @ SY7 @ ( powerset @ SY0 ) )
=> ( ( nonempty @ SY7 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY7 )
& ! [Y: $i] :
( ( in @ Y @ SY7 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ~ ( in @ SY0 @ SY0 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,ordinal,ordinalIrrefl,stricttotalorderedByIn,wellorderedByIn]) ).
thf(4,plain,
( ( ! [SY10: $i] :
( ( ( transitiveset @ SY10 )
& ! [SY11: $i] :
( ( in @ SY11 @ SY10 )
=> ! [SY12: $i] :
( ( in @ SY12 @ SY10 )
=> ! [SY13: $i] :
( ( in @ SY13 @ SY10 )
=> ( ( ( in @ SY11 @ SY12 )
& ( in @ SY12 @ SY13 ) )
=> ( in @ SY11 @ SY13 ) ) ) ) )
& ! [SY14: $i] :
( ( in @ SY14 @ SY10 )
=> ! [SY15: $i] :
( ( in @ SY15 @ SY10 )
=> ( ( SY14 = SY15 )
| ( in @ SY14 @ SY15 )
| ( in @ SY15 @ SY14 ) ) ) )
& ! [SY16: $i] :
( ( in @ SY16 @ SY10 )
=> ~ ( in @ SY16 @ SY16 ) )
& ! [SY17: $i] :
( ( in @ SY17 @ ( powerset @ SY10 ) )
=> ( ( nonempty @ SY17 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY17 )
& ! [Y: $i] :
( ( in @ Y @ SY17 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ! [A: $i] :
( ( in @ A @ SY10 )
=> ~ ( in @ A @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i] :
( ( ( transitiveset @ SY0 )
& ! [SY1: $i] :
( ( in @ SY1 @ SY0 )
=> ! [SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ! [SY3: $i] :
( ( in @ SY3 @ SY0 )
=> ( ( ( in @ SY1 @ SY2 )
& ( in @ SY2 @ SY3 ) )
=> ( in @ SY1 @ SY3 ) ) ) ) )
& ! [SY4: $i] :
( ( in @ SY4 @ SY0 )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( ( SY4 = SY5 )
| ( in @ SY4 @ SY5 )
| ( in @ SY5 @ SY4 ) ) ) )
& ! [SY6: $i] :
( ( in @ SY6 @ SY0 )
=> ~ ( in @ SY6 @ SY6 ) )
& ! [SY7: $i] :
( ( in @ SY7 @ ( powerset @ SY0 ) )
=> ( ( nonempty @ SY7 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY7 )
& ! [Y: $i] :
( ( in @ Y @ SY7 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ~ ( in @ SY0 @ SY0 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i] :
( ( ( transitiveset @ SY0 )
& ! [SY1: $i] :
( ( in @ SY1 @ SY0 )
=> ! [SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ! [SY3: $i] :
( ( in @ SY3 @ SY0 )
=> ( ( ( in @ SY1 @ SY2 )
& ( in @ SY2 @ SY3 ) )
=> ( in @ SY1 @ SY3 ) ) ) ) )
& ! [SY4: $i] :
( ( in @ SY4 @ SY0 )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( ( SY4 = SY5 )
| ( in @ SY4 @ SY5 )
| ( in @ SY5 @ SY4 ) ) ) )
& ! [SY6: $i] :
( ( in @ SY6 @ SY0 )
=> ~ ( in @ SY6 @ SY6 ) )
& ! [SY7: $i] :
( ( in @ SY7 @ ( powerset @ SY0 ) )
=> ( ( nonempty @ SY7 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY7 )
& ! [Y: $i] :
( ( in @ Y @ SY7 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ~ ( in @ SY0 @ SY0 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY10: $i] :
( ( ( transitiveset @ SY10 )
& ! [SY11: $i] :
( ( in @ SY11 @ SY10 )
=> ! [SY12: $i] :
( ( in @ SY12 @ SY10 )
=> ! [SY13: $i] :
( ( in @ SY13 @ SY10 )
=> ( ( ( in @ SY11 @ SY12 )
& ( in @ SY12 @ SY13 ) )
=> ( in @ SY11 @ SY13 ) ) ) ) )
& ! [SY14: $i] :
( ( in @ SY14 @ SY10 )
=> ! [SY15: $i] :
( ( in @ SY15 @ SY10 )
=> ( ( SY14 = SY15 )
| ( in @ SY14 @ SY15 )
| ( in @ SY15 @ SY14 ) ) ) )
& ! [SY16: $i] :
( ( in @ SY16 @ SY10 )
=> ~ ( in @ SY16 @ SY16 ) )
& ! [SY17: $i] :
( ( in @ SY17 @ ( powerset @ SY10 ) )
=> ( ( nonempty @ SY17 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY17 )
& ! [Y: $i] :
( ( in @ Y @ SY17 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ! [A: $i] :
( ( in @ A @ SY10 )
=> ~ ( in @ A @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ! [SY0: $i] :
( ( ( transitiveset @ SY0 )
& ! [SY1: $i] :
( ( in @ SY1 @ SY0 )
=> ! [SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ! [SY3: $i] :
( ( in @ SY3 @ SY0 )
=> ( ( ( in @ SY1 @ SY2 )
& ( in @ SY2 @ SY3 ) )
=> ( in @ SY1 @ SY3 ) ) ) ) )
& ! [SY4: $i] :
( ( in @ SY4 @ SY0 )
=> ! [SY5: $i] :
( ( in @ SY5 @ SY0 )
=> ( ( SY4 = SY5 )
| ( in @ SY4 @ SY5 )
| ( in @ SY5 @ SY4 ) ) ) )
& ! [SY6: $i] :
( ( in @ SY6 @ SY0 )
=> ~ ( in @ SY6 @ SY6 ) )
& ! [SY7: $i] :
( ( in @ SY7 @ ( powerset @ SY0 ) )
=> ( ( nonempty @ SY7 )
=> ? [Xx: $i] :
( ( in @ Xx @ SY7 )
& ! [Y: $i] :
( ( in @ Y @ SY7 )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) )
=> ~ ( in @ SY0 @ SY0 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SX0: $i] :
( ~ ~ ( ~ ( transitiveset @ SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ~ ( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX3 ) )
| ( in @ SX1 @ SX3 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 )
| ( in @ SX2 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ~ ( in @ SX1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ~ ( nonempty @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,ordinal,ordinalIrrefl,stricttotalorderedByIn,wellorderedByIn]) ).
thf(10,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( transitiveset @ SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ~ ( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX3 ) )
| ( in @ SX1 @ SX3 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 )
| ( in @ SX2 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ~ ( in @ SX1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ~ ( nonempty @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ~ ( in @ SX1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,ordinal,ordinalIrrefl,stricttotalorderedByIn,wellorderedByIn]) ).
thf(11,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( transitiveset @ SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ~ ( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX3 ) )
| ( in @ SX1 @ SX3 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 )
| ( in @ SX2 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ~ ( in @ SX1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ~ ( nonempty @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( transitiveset @ SV1 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ( transitiveset @ sK1_SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ~ ( in @ sK1_SX0 @ sK1_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(14,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( transitiveset @ SV1 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ~ ( ~ ( transitiveset @ sK1_SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( in @ sK1_SX0 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( transitiveset @ SV1 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) ) )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( ~ ( transitiveset @ sK1_SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( in @ sK1_SX0 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i] :
( ( ( ~ ( transitiveset @ SV1 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( transitiveset @ sK1_SX0 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: $i] :
( ( ( ~ ( transitiveset @ SV1 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( transitiveset @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: $i] :
( ( ( transitiveset @ SV1 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( transitiveset @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( ! [SY68: $i] :
( ~ ( in @ SY68 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SY68 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY68 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY68 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i] :
( ( ~ ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
| ~ ( nonempty @ SV2 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ SV2 )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SV2 )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
( ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( powerset @ sK1_SX0 ) ) )
= $true )
| ( ( ~ ( nonempty @ SV2 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ SV2 )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SV2 )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(44,plain,
( ( ~ ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ! [SY67: $i] :
( ~ ( in @ SY67 @ sK1_SX0 )
| ~ ( in @ SY67 @ SY67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false )
| ( ( ~ ( nonempty @ SV2 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ SV2 )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SV2 )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
( ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV3: $i] :
( ( ~ ( in @ SV3 @ sK1_SX0 )
| ~ ( in @ SV3 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV2: $i] :
( ( ( ~ ( nonempty @ SV2 ) )
= $true )
| ( ( ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ SV2 )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SV2 )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $true )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV1: $i] :
( ( ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(52,plain,
( ( ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
( ( ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV3: $i] :
( ( ( ~ ( in @ SV3 @ sK1_SX0 ) )
= $true )
| ( ( ~ ( in @ SV3 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV2: $i] :
( ( ( nonempty @ SV2 )
= $false )
| ( ( ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ SV2 )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SV2 )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $true )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV1: $i] :
( ( ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) ) )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(57,plain,
( ( ! [SY62: $i] :
( ~ ( in @ SY62 @ sK1_SX0 )
| ! [SY63: $i] :
( ~ ( in @ SY63 @ sK1_SX0 )
| ! [SY64: $i] :
( ~ ( in @ SY64 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SY62 @ SY63 )
| ~ ( in @ SY63 @ SY64 ) )
| ( in @ SY62 @ SY64 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(58,plain,
( ( ! [SY65: $i] :
( ~ ( in @ SY65 @ sK1_SX0 )
| ! [SY66: $i] :
( ~ ( in @ SY66 @ sK1_SX0 )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 )
| ( in @ SY66 @ SY65 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(59,plain,
! [SV3: $i] :
( ( ( in @ SV3 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ SV3 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV2: $i] :
( ( ( ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ SV2 )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SV2 )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $false )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
! [SV1: $i] :
( ( ( ! [SY52: $i] :
( ~ ( in @ SY52 @ SV1 )
| ! [SY53: $i] :
( ~ ( in @ SY53 @ SV1 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV1 )
| ~ ~ ( ~ ( in @ SY52 @ SY53 )
| ~ ( in @ SY53 @ SY54 ) )
| ( in @ SY52 @ SY54 ) ) ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV4: $i] :
( ( ~ ( in @ SV4 @ sK1_SX0 )
| ! [SY73: $i] :
( ~ ( in @ SY73 @ sK1_SX0 )
| ! [SY74: $i] :
( ~ ( in @ SY74 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SY73 )
| ~ ( in @ SY73 @ SY74 ) )
| ( in @ SV4 @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV5: $i] :
( ( ~ ( in @ SV5 @ sK1_SX0 )
| ! [SY75: $i] :
( ~ ( in @ SY75 @ sK1_SX0 )
| ( SV5 = SY75 )
| ( in @ SV5 @ SY75 )
| ( in @ SY75 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV3: $i] :
( ( ( in @ SV3 @ SV3 )
= $false )
| ( ( in @ SV3 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK2_SY71 @ SV2 ) @ SV2 )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV2 )
| ( ( sK2_SY71 @ SV2 )
= SY76 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SY76 ) ) ) )
= $false )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(66,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
| ! [SY77: $i] :
( ~ ( in @ SY77 @ SV1 )
| ! [SY78: $i] :
( ~ ( in @ SY78 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ SY77 )
| ~ ( in @ SY77 @ SY78 ) )
| ( in @ ( sK3_SY52 @ SV1 ) @ SY78 ) ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[61]) ).
thf(67,plain,
! [SV4: $i] :
( ( ( ~ ( in @ SV4 @ sK1_SX0 ) )
= $true )
| ( ( ! [SY73: $i] :
( ~ ( in @ SY73 @ sK1_SX0 )
| ! [SY74: $i] :
( ~ ( in @ SY74 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SY73 )
| ~ ( in @ SY73 @ SY74 ) )
| ( in @ SV4 @ SY74 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( ~ ( in @ SV5 @ sK1_SX0 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( in @ SY75 @ sK1_SX0 )
| ( SV5 = SY75 )
| ( in @ SV5 @ SY75 )
| ( in @ SY75 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( in @ ( sK2_SY71 @ SV2 ) @ SV2 )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV2 )
| ( ( sK2_SY71 @ SV2 )
= SY76 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SY76 ) ) ) )
= $true )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(70,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV1: $i] :
( ( ( ! [SY77: $i] :
( ~ ( in @ SY77 @ SV1 )
| ! [SY78: $i] :
( ~ ( in @ SY78 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ SY77 )
| ~ ( in @ SY77 @ SY78 ) )
| ( in @ ( sK3_SY52 @ SV1 ) @ SY78 ) ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(72,plain,
! [SV4: $i] :
( ( ( in @ SV4 @ sK1_SX0 )
= $false )
| ( ( ! [SY73: $i] :
( ~ ( in @ SY73 @ sK1_SX0 )
| ! [SY74: $i] :
( ~ ( in @ SY74 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SY73 )
| ~ ( in @ SY73 @ SY74 ) )
| ( in @ SV4 @ SY74 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ sK1_SX0 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( in @ SY75 @ sK1_SX0 )
| ( SV5 = SY75 )
| ( in @ SV5 @ SY75 )
| ( in @ SY75 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV2: $i] :
( ( ( ~ ( in @ ( sK2_SY71 @ SV2 ) @ SV2 )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV2 )
| ( ( sK2_SY71 @ SV2 )
= SY76 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SY76 ) ) )
= $false )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV1: $i] :
( ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
| ! [SY79: $i] :
( ~ ( in @ SY79 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ SY79 ) )
| ( in @ ( sK3_SY52 @ SV1 ) @ SY79 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(77,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK1_SX0 )
| ! [SY80: $i] :
( ~ ( in @ SY80 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SY80 ) )
| ( in @ SV4 @ SY80 ) ) )
= $true )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK1_SX0 )
| ( SV5 = SV7 )
| ( in @ SV5 @ SV7 )
| ( in @ SV7 @ SV5 ) )
= $true )
| ( ( in @ SV5 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV2: $i] :
( ( ( ~ ( in @ ( sK2_SY71 @ SV2 ) @ SV2 ) )
= $false )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(80,plain,
! [SV2: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV2 )
| ( ( sK2_SY71 @ SV2 )
= SY76 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SY76 ) ) )
= $false )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK4_SY77 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(83,plain,
! [SV1: $i] :
( ( ( ! [SY79: $i] :
( ~ ( in @ SY79 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ SY79 ) )
| ( in @ ( sK3_SY52 @ SV1 ) @ SY79 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK1_SX0 ) )
= $true )
| ( ( ! [SY80: $i] :
( ~ ( in @ SY80 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SY80 ) )
| ( in @ SV4 @ SY80 ) ) )
= $true )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK1_SX0 ) )
= $true )
| ( ( ( SV5 = SV7 )
| ( in @ SV5 @ SV7 )
| ( in @ SV7 @ SV5 ) )
= $true )
| ( ( in @ SV5 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV2: $i] :
( ( ( in @ ( sK2_SY71 @ SV2 ) @ SV2 )
= $true )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(87,plain,
! [SV2: $i] :
( ( ( ! [SY76: $i] :
( ~ ( in @ SY76 @ SV2 )
| ( ( sK2_SY71 @ SV2 )
= SY76 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SY76 ) ) )
= $true )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(88,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
| ! [SY81: $i] :
( ~ ( in @ SY81 @ SV1 )
| ( ( sK5_SY55 @ SV1 )
= SY81 )
| ( in @ ( sK5_SY55 @ SV1 ) @ SY81 )
| ( in @ SY81 @ ( sK5_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(89,plain,
! [SV1: $i] :
( ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(90,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
| ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) )
| ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(91,plain,
! [SV4: $i,SV6: $i] :
( ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( ! [SY80: $i] :
( ~ ( in @ SY80 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SY80 ) )
| ( in @ SV4 @ SY80 ) ) )
= $true )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV5: $i,SV7: $i] :
( ( ( in @ SV7 @ sK1_SX0 )
= $false )
| ( ( ( SV5 = SV7 )
| ( in @ SV5 @ SV7 )
| ( in @ SV7 @ SV5 ) )
= $true )
| ( ( in @ SV5 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(93,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( in @ SV8 @ SV2 )
| ( ( sK2_SY71 @ SV2 )
= SV8 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SV8 ) )
= $true )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK5_SY55 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV1: $i] :
( ( ( ! [SY81: $i] :
( ~ ( in @ SY81 @ SV1 )
| ( ( sK5_SY55 @ SV1 )
= SY81 )
| ( in @ ( sK5_SY55 @ SV1 ) @ SY81 )
| ( in @ SY81 @ ( sK5_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(96,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK6_SY79 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(98,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) )
| ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(99,plain,
! [SV6: $i,SV4: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ sK1_SX0 )
| ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SV9 ) )
| ( in @ SV4 @ SV9 ) )
= $true )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV7: $i,SV5: $i] :
( ( ( ( SV5 = SV7 )
| ( in @ SV5 @ SV7 ) )
= $true )
| ( ( in @ SV7 @ SV5 )
= $true )
| ( ( in @ SV7 @ sK1_SX0 )
= $false )
| ( ( in @ SV5 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( in @ SV8 @ SV2 ) )
= $true )
| ( ( ( ( sK2_SY71 @ SV2 )
= SV8 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SV8 ) )
= $true )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV1: $i] :
( ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
| ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
| ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
| ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[95]) ).
thf(104,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
| ! [SY82: $i] :
( ~ ( in @ SY82 @ SV1 )
| ( ( sK8_SY55 @ SV1 )
= SY82 )
| ( in @ ( sK8_SY55 @ SV1 ) @ SY82 )
| ( in @ SY82 @ ( sK8_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(106,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(107,plain,
! [SV1: $i] :
( ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(108,plain,
! [SV6: $i,SV4: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ sK1_SX0 ) )
= $true )
| ( ( ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SV9 ) )
| ( in @ SV4 @ SV9 ) )
= $true )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $true )
| ( ( in @ SV5 @ SV7 )
= $true )
| ( ( in @ SV7 @ SV5 )
= $true )
| ( ( in @ SV7 @ sK1_SX0 )
= $false )
| ( ( in @ SV5 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(110,plain,
! [SV2: $i,SV8: $i] :
( ( ( in @ SV8 @ SV2 )
= $false )
| ( ( ( ( sK2_SY71 @ SV2 )
= SV8 )
| ( in @ ( sK2_SY71 @ SV2 ) @ SV8 ) )
= $true )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(112,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK7_SY81 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(113,plain,
! [SV1: $i] :
( ( ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
| ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
| ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(114,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK8_SY55 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(115,plain,
! [SV1: $i] :
( ( ( ! [SY82: $i] :
( ~ ( in @ SY82 @ SV1 )
| ( ( sK8_SY55 @ SV1 )
= SY82 )
| ( in @ ( sK8_SY55 @ SV1 ) @ SY82 )
| ( in @ SY82 @ ( sK8_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(116,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(117,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(118,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(119,plain,
! [SV6: $i,SV4: $i,SV9: $i] :
( ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SV9 ) )
| ( in @ SV4 @ SV9 ) )
= $true )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(120,plain,
! [SV8: $i,SV2: $i] :
( ( ( ( sK2_SY71 @ SV2 )
= SV8 )
= $true )
| ( ( in @ ( sK2_SY71 @ SV2 ) @ SV8 )
= $true )
| ( ( in @ SV8 @ SV2 )
= $false )
| ( ( nonempty @ SV2 )
= $false )
| ( ( in @ SV2 @ ( powerset @ sK1_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(122,plain,
! [SV1: $i] :
( ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(123,plain,
! [SV1: $i] :
( ( ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
| ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(124,plain,
! [SV1: $i] :
( ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(125,plain,
! [SV1: $i] :
( ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
| ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
| ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
| ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[115]) ).
thf(127,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
| ! [SY83: $i] :
( ~ ( in @ SY83 @ SV1 )
| ( ( sK11_SY55 @ SV1 )
= SY83 )
| ( in @ ( sK11_SY55 @ SV1 ) @ SY83 )
| ( in @ SY83 @ ( sK11_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[116]) ).
thf(128,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
| ~ ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
| ! [SY84: $i] :
( ~ ( in @ SY84 @ SV1 )
| ( ( sK12_SY55 @ SV1 )
= SY84 )
| ( in @ ( sK12_SY55 @ SV1 ) @ SY84 )
| ( in @ SY84 @ ( sK12_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(130,plain,
! [SV9: $i,SV6: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SV9 ) ) )
= $true )
| ( ( in @ SV4 @ SV9 )
= $true )
| ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK9_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(132,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(133,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV1: $i] :
( ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(135,plain,
! [SV1: $i] :
( ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(136,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(137,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(138,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK10_SY82 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(139,plain,
! [SV1: $i] :
( ( ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
| ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
| ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(140,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK11_SY55 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(141,plain,
! [SV1: $i] :
( ( ( ! [SY83: $i] :
( ~ ( in @ SY83 @ SV1 )
| ( ( sK11_SY55 @ SV1 )
= SY83 )
| ( in @ ( sK11_SY55 @ SV1 ) @ SY83 )
| ( in @ SY83 @ ( sK11_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(142,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(143,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(144,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK12_SY55 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV1: $i] :
( ( ( ! [SY84: $i] :
( ~ ( in @ SY84 @ SV1 )
| ( ( sK12_SY55 @ SV1 )
= SY84 )
| ( in @ ( sK12_SY55 @ SV1 ) @ SY84 )
| ( in @ SY84 @ ( sK12_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(146,plain,
! [SV9: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SV9 ) ) )
= $false )
| ( ( in @ SV4 @ SV9 )
= $true )
| ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(147,plain,
! [SV1: $i] :
( ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(148,plain,
! [SV1: $i] :
( ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(149,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(150,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(151,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(152,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(153,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(154,plain,
! [SV1: $i] :
( ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV1: $i] :
( ( ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
| ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(156,plain,
! [SV1: $i] :
( ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(157,plain,
! [SV1: $i] :
( ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(158,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
| ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
| ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
| ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(159,plain,
! [SV1: $i] :
( ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(160,plain,
! [SV1: $i] :
( ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(161,plain,
! [SV1: $i] :
( ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(162,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
| ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
| ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
| ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(163,plain,
! [SV9: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( in @ SV4 @ SV6 )
| ~ ( in @ SV6 @ SV9 ) )
= $true )
| ( ( in @ SV4 @ SV9 )
= $true )
| ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(164,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(165,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(166,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK13_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(167,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(168,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(169,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(170,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK14_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(171,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(172,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK15_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(173,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(174,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(175,plain,
! [SV1: $i] :
( ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(176,plain,
! [SV1: $i] :
( ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(177,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK16_SY83 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(180,plain,
! [SV1: $i] :
( ( ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
| ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
| ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(181,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(182,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV1 )
| ! [SY56: $i] :
( ~ ( in @ SY56 @ SV1 )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 )
| ( in @ SY56 @ SY55 ) ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(183,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(184,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK17_SY84 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(185,plain,
! [SV1: $i] :
( ( ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
| ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
| ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(186,plain,
! [SV9: $i,SV6: $i,SV4: $i] :
( ( ( ~ ( in @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( in @ SV6 @ SV9 ) )
= $true )
| ( ( in @ SV4 @ SV9 )
= $true )
| ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(187,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK20_SY58 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[164]) ).
thf(188,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK21_SY58 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(189,plain,
! [SV1: $i] :
( ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(190,plain,
! [SV1: $i] :
( ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(191,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK18_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(192,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(193,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK19_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(194,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(195,plain,
! [SV1: $i] :
( ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(196,plain,
! [SV1: $i] :
( ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(197,plain,
! [SV1: $i] :
( ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(198,plain,
! [SV1: $i] :
( ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(199,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(200,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(201,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(202,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[177]) ).
thf(203,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[178]) ).
thf(204,plain,
! [SV1: $i] :
( ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(205,plain,
! [SV1: $i] :
( ( ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
| ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(206,plain,
! [SV1: $i] :
( ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(207,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
| ! [SY89: $i] :
( ~ ( in @ SY89 @ SV1 )
| ( ( sK25_SY55 @ SV1 )
= SY89 )
| ( in @ ( sK25_SY55 @ SV1 ) @ SY89 )
| ( in @ SY89 @ ( sK25_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[181]) ).
thf(208,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
| ! [SY90: $i] :
( ~ ( in @ SY90 @ SV1 )
| ( ( sK26_SY55 @ SV1 )
= SY90 )
| ( in @ ( sK26_SY55 @ SV1 ) @ SY90 )
| ( in @ SY90 @ ( sK26_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[182]) ).
thf(209,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(210,plain,
! [SV1: $i] :
( ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(211,plain,
! [SV1: $i] :
( ( ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
| ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(212,plain,
! [SV1: $i] :
( ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(213,plain,
! [SV9: $i,SV6: $i,SV4: $i] :
( ( ( in @ SV4 @ SV6 )
= $false )
| ( ( ~ ( in @ SV6 @ SV9 ) )
= $true )
| ( ( in @ SV4 @ SV9 )
= $true )
| ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(214,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(215,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK20_SY58 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(216,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(217,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK21_SY58 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(218,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(219,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(220,plain,
! [SV1: $i] :
( ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(221,plain,
! [SV1: $i] :
( ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(222,plain,
! [SV1: $i] :
( ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(223,plain,
! [SV1: $i] :
( ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(224,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(225,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(226,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(227,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(228,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK22_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(229,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(230,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(231,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(232,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK23_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(233,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(234,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK24_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(235,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(236,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(237,plain,
! [SV1: $i] :
( ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(238,plain,
! [SV1: $i] :
( ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(239,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(240,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK25_SY55 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(241,plain,
! [SV1: $i] :
( ( ( ! [SY89: $i] :
( ~ ( in @ SY89 @ SV1 )
| ( ( sK25_SY55 @ SV1 )
= SY89 )
| ( in @ ( sK25_SY55 @ SV1 ) @ SY89 )
| ( in @ SY89 @ ( sK25_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(242,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK26_SY55 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(243,plain,
! [SV1: $i] :
( ( ( ! [SY90: $i] :
( ~ ( in @ SY90 @ SV1 )
| ( ( sK26_SY55 @ SV1 )
= SY90 )
| ( in @ ( sK26_SY55 @ SV1 ) @ SY90 )
| ( in @ SY90 @ ( sK26_SY55 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(244,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK27_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(245,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(246,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(247,plain,
! [SV1: $i] :
( ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(248,plain,
! [SV1: $i] :
( ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(249,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(250,plain,
! [SV4: $i,SV9: $i,SV6: $i] :
( ( ( in @ SV6 @ SV9 )
= $false )
| ( ( in @ SV4 @ SV6 )
= $false )
| ( ( in @ SV4 @ SV9 )
= $true )
| ( ( in @ SV9 @ sK1_SX0 )
= $false )
| ( ( in @ SV6 @ sK1_SX0 )
= $false )
| ( ( in @ SV4 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(251,plain,
! [SV1: $i] :
( ( ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(252,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK20_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(253,plain,
! [SV1: $i] :
( ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK20_SY58 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(254,plain,
! [SV1: $i] :
( ( ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(255,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK21_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(256,plain,
! [SV1: $i] :
( ( ( ~ ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK21_SY58 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(257,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK30_SY58 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(258,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( in @ SY93 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK31_SY58 @ SV1 ) )
| ( SY93 = SY94 )
| ( in @ SY93 @ SY94 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(259,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(260,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(261,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(262,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(263,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK32_SY58 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(264,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK33_SY58 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(265,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK34_SY58 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[226]) ).
thf(266,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK35_SY58 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[227]) ).
thf(267,plain,
! [SV1: $i] :
( ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(268,plain,
! [SV1: $i] :
( ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(269,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK28_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(270,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(271,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK29_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(272,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(273,plain,
! [SV1: $i] :
( ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(274,plain,
! [SV1: $i] :
( ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(275,plain,
! [SV1: $i] :
( ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(276,plain,
! [SV1: $i] :
( ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(277,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(278,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(279,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(280,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[239]) ).
thf(281,plain,
! [SV1: $i] :
( ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(282,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
| ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
| ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
| ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[241]) ).
thf(283,plain,
! [SV1: $i] :
( ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(284,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
| ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
| ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
| ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(285,plain,
! [SV1: $i] :
( ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(286,plain,
! [SV1: $i] :
( ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(287,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[246]) ).
thf(288,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(289,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(290,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[249]) ).
thf(291,plain,
! [SV1: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV1 )
| ~ ( in @ SV10 @ SV10 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(292,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK20_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(293,plain,
! [SV1: $i] :
( ( ( ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK20_SY58 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(294,plain,
! [SV1: $i,SV11: $i] :
( ( ( ~ ( in @ SV11 @ SV1 )
| ~ ( in @ SV11 @ SV11 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(295,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK21_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(296,plain,
! [SV1: $i] :
( ( ( ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK21_SY58 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(297,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(298,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK30_SY58 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(299,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(300,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY93: $i] :
~ ~ ( ~ ( in @ SY93 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK31_SY58 @ SV1 ) )
| ( SY93 = SY94 )
| ( in @ SY93 @ SY94 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(301,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK42_SY58 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[259]) ).
thf(302,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK43_SY58 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[260]) ).
thf(303,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK44_SY58 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[261]) ).
thf(304,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK45_SY58 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[262]) ).
thf(305,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(306,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK32_SY58 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(307,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(308,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK33_SY58 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(309,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(310,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK34_SY58 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(311,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(312,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK35_SY58 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(313,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(314,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(315,plain,
! [SV1: $i] :
( ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(316,plain,
! [SV1: $i] :
( ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(317,plain,
! [SV1: $i] :
( ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(318,plain,
! [SV1: $i] :
( ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(319,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(320,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(321,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(322,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(323,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK36_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(324,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(325,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[278]) ).
thf(326,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[279]) ).
thf(327,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK37_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(328,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(329,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(330,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK38_SY89 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(331,plain,
! [SV1: $i] :
( ( ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
| ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
| ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(332,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(333,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK39_SY90 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(334,plain,
! [SV1: $i] :
( ( ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
| ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
| ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(335,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(336,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(337,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK40_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(338,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(339,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(340,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[289]) ).
thf(341,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK41_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(342,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(343,plain,
! [SV1: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV10 @ SV10 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(344,plain,
! [SV1: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV1 )
| ~ ( in @ SV12 @ SV12 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(345,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK20_SY58 @ SV1 ) )
| ( SV13 = SY111 )
| ( in @ SV13 @ SY111 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(346,plain,
! [SV1: $i,SV11: $i] :
( ( ( ~ ( in @ SV11 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV11 @ SV11 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(347,plain,
! [SV1: $i,SV14: $i] :
( ( ( ~ ( in @ SV14 @ SV1 )
| ~ ( in @ SV14 @ SV14 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(348,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK21_SY58 @ SV1 ) )
| ( SV15 = SY112 )
| ( in @ SV15 @ SY112 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(349,plain,
! [SV1: $i] :
( ( ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(350,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK30_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(351,plain,
! [SV1: $i] :
( ( ( ~ ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK30_SY58 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(352,plain,
! [SV1: $i] :
( ( ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(353,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK31_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(354,plain,
! [SV1: $i] :
( ( ( ~ ! [SY93: $i] :
~ ~ ( ~ ( in @ SY93 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK31_SY58 @ SV1 ) )
| ( SY93 = SY94 )
| ( in @ SY93 @ SY94 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(355,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(356,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK42_SY58 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(357,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(358,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK43_SY58 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(359,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(360,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK44_SY58 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(361,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(362,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK45_SY58 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(363,plain,
! [SV1: $i] :
( ( ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(364,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK32_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(365,plain,
! [SV1: $i] :
( ( ( ~ ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK32_SY58 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(366,plain,
! [SV1: $i] :
( ( ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(367,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK33_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(368,plain,
! [SV1: $i] :
( ( ( ~ ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK33_SY58 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(369,plain,
! [SV1: $i] :
( ( ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(370,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK34_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(371,plain,
! [SV1: $i] :
( ( ( ~ ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK34_SY58 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(372,plain,
! [SV1: $i] :
( ( ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(373,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK35_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(374,plain,
! [SV1: $i] :
( ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK35_SY58 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(375,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK50_SY58 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(376,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK51_SY58 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[314]) ).
thf(377,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(378,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(379,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(380,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(381,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK52_SY58 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[319]) ).
thf(382,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK53_SY58 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(383,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK54_SY58 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(384,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK55_SY58 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[322]) ).
thf(385,plain,
! [SV1: $i] :
( ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(386,plain,
! [SV1: $i] :
( ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(387,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK46_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(388,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(389,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK47_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(390,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(391,plain,
! [SV1: $i] :
( ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(392,plain,
! [SV1: $i] :
( ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(393,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[329]) ).
thf(394,plain,
! [SV1: $i] :
( ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(395,plain,
! [SV1: $i] :
( ( ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
| ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(396,plain,
! [SV1: $i] :
( ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(397,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[332]) ).
thf(398,plain,
! [SV1: $i] :
( ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(399,plain,
! [SV1: $i] :
( ( ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
| ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(400,plain,
! [SV1: $i] :
( ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(401,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK58_SY58 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[335]) ).
thf(402,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK59_SY58 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[336]) ).
thf(403,plain,
! [SV1: $i] :
( ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(404,plain,
! [SV1: $i] :
( ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(405,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK48_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(406,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(407,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK49_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(408,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(409,plain,
! [SV1: $i] :
( ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(410,plain,
! [SV1: $i] :
( ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(411,plain,
! [SV1: $i,SV10: $i] :
( ( ( in @ SV10 @ SV1 )
= $false )
| ( ( ~ ( in @ SV10 @ SV10 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(412,plain,
! [SV1: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV12 @ SV12 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(413,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( ~ ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK20_SY58 @ SV1 ) )
| ( SV13 = SY111 )
| ( in @ SV13 @ SY111 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(414,plain,
! [SV1: $i,SV11: $i] :
( ( ( in @ SV11 @ SV1 )
= $false )
| ( ( ~ ( in @ SV11 @ SV11 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(415,plain,
! [SV1: $i,SV14: $i] :
( ( ( ~ ( in @ SV14 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV14 @ SV14 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(416,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( ~ ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK21_SY58 @ SV1 ) )
| ( SV15 = SY112 )
| ( in @ SV15 @ SY112 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(417,plain,
! [SV1: $i,SV16: $i] :
( ( ( ~ ( in @ SV16 @ SV1 )
| ~ ( in @ SV16 @ SV16 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(418,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK30_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(419,plain,
! [SV1: $i] :
( ( ( ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK30_SY58 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(420,plain,
! [SV1: $i,SV17: $i] :
( ( ( ~ ( in @ SV17 @ SV1 )
| ~ ( in @ SV17 @ SV17 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(421,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK31_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(422,plain,
! [SV1: $i] :
( ( ( ! [SY93: $i] :
~ ~ ( ~ ( in @ SY93 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK31_SY58 @ SV1 ) )
| ( SY93 = SY94 )
| ( in @ SY93 @ SY94 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(423,plain,
! [SV1: $i] :
( ( ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(424,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK42_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(425,plain,
! [SV1: $i] :
( ( ( ~ ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK42_SY58 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(426,plain,
! [SV1: $i] :
( ( ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(427,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK43_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(428,plain,
! [SV1: $i] :
( ( ( ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK43_SY58 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(429,plain,
! [SV1: $i] :
( ( ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(430,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK44_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(431,plain,
! [SV1: $i] :
( ( ( ~ ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK44_SY58 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(432,plain,
! [SV1: $i] :
( ( ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(433,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK45_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(434,plain,
! [SV1: $i] :
( ( ( ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK45_SY58 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(435,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( in @ SV18 @ SV1 )
| ~ ( in @ SV18 @ SV18 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(436,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK32_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(437,plain,
! [SV1: $i] :
( ( ( ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK32_SY58 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(438,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( in @ SV19 @ SV1 )
| ~ ( in @ SV19 @ SV19 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(439,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK33_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(440,plain,
! [SV1: $i] :
( ( ( ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK33_SY58 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(441,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( in @ SV20 @ SV1 )
| ~ ( in @ SV20 @ SV20 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(442,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK34_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(443,plain,
! [SV1: $i] :
( ( ( ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK34_SY58 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(444,plain,
! [SV1: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV1 )
| ~ ( in @ SV21 @ SV21 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(445,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK35_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(446,plain,
! [SV1: $i] :
( ( ( ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK35_SY58 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(447,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(448,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK50_SY58 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(449,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(450,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK51_SY58 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(451,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( in @ SY129 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY130: $i] :
( ~ ( in @ SY130 @ ( sK60_SY58 @ SV1 ) )
| ( SY129 = SY130 )
| ( in @ SY129 @ SY130 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[377]) ).
thf(452,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY132: $i] :
( ~ ( in @ SY132 @ ( sK61_SY58 @ SV1 ) )
| ( SY131 = SY132 )
| ( in @ SY131 @ SY132 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[378]) ).
thf(453,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY133: $i] :
~ ~ ( ~ ( in @ SY133 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY134: $i] :
( ~ ( in @ SY134 @ ( sK62_SY58 @ SV1 ) )
| ( SY133 = SY134 )
| ( in @ SY133 @ SY134 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[379]) ).
thf(454,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY135: $i] :
~ ~ ( ~ ( in @ SY135 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ ( sK63_SY58 @ SV1 ) )
| ( SY135 = SY136 )
| ( in @ SY135 @ SY136 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(455,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(456,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK52_SY58 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(457,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(458,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK53_SY58 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(459,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(460,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK54_SY58 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(461,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(462,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK55_SY58 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(463,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(464,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(465,plain,
! [SV1: $i] :
( ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(466,plain,
! [SV1: $i] :
( ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(467,plain,
! [SV1: $i] :
( ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(468,plain,
! [SV1: $i] :
( ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(469,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(470,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(471,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK56_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(472,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(473,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(474,plain,
! [SV1: $i] :
( ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(475,plain,
! [SV1: $i] :
( ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(476,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(477,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK57_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(478,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(479,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(480,plain,
! [SV1: $i] :
( ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(481,plain,
! [SV1: $i] :
( ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(482,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(483,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(484,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK58_SY58 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(485,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(486,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK59_SY58 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(487,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(488,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(489,plain,
! [SV1: $i] :
( ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(490,plain,
! [SV1: $i] :
( ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(491,plain,
! [SV1: $i] :
( ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(492,plain,
! [SV1: $i] :
( ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(493,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(494,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(495,plain,
! [SV1: $i,SV10: $i] :
( ( ( in @ SV10 @ SV10 )
= $false )
| ( ( in @ SV10 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(496,plain,
! [SV1: $i,SV12: $i] :
( ( ( in @ SV12 @ SV1 )
= $false )
| ( ( ~ ( in @ SV12 @ SV12 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(497,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK20_SY58 @ SV1 ) )
| ( SV13 = SY111 )
| ( in @ SV13 @ SY111 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(498,plain,
! [SV1: $i,SV11: $i] :
( ( ( in @ SV11 @ SV11 )
= $false )
| ( ( in @ SV11 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK21_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(499,plain,
! [SV1: $i,SV14: $i] :
( ( ( in @ SV14 @ SV1 )
= $false )
| ( ( ~ ( in @ SV14 @ SV14 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(500,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
| ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK21_SY58 @ SV1 ) )
| ( SV15 = SY112 )
| ( in @ SV15 @ SY112 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(501,plain,
! [SV1: $i,SV16: $i] :
( ( ( ~ ( in @ SV16 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV16 @ SV16 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(502,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ SV1 )
| ~ ( in @ SV22 @ SV22 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(503,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ ( sK30_SY58 @ SV1 ) )
| ( SV23 = SY137 )
| ( in @ SV23 @ SY137 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(504,plain,
! [SV1: $i,SV17: $i] :
( ( ( ~ ( in @ SV17 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV17 @ SV17 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(505,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( in @ SV24 @ SV1 )
| ~ ( in @ SV24 @ SV24 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(506,plain,
! [SV1: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK31_SY58 @ SV1 ) )
| ( SV25 = SY138 )
| ( in @ SV25 @ SY138 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(507,plain,
! [SV1: $i,SV26: $i] :
( ( ( ~ ( in @ SV26 @ SV1 )
| ~ ( in @ SV26 @ SV26 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(508,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK42_SY58 @ SV1 ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(509,plain,
! [SV1: $i] :
( ( ( ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK42_SY58 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(510,plain,
! [SV1: $i,SV27: $i] :
( ( ( ~ ( in @ SV27 @ SV1 )
| ~ ( in @ SV27 @ SV27 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(511,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK43_SY58 @ SV1 ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(512,plain,
! [SV1: $i] :
( ( ( ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK43_SY58 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(513,plain,
! [SV1: $i,SV28: $i] :
( ( ( ~ ( in @ SV28 @ SV1 )
| ~ ( in @ SV28 @ SV28 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(514,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK44_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(515,plain,
! [SV1: $i] :
( ( ( ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK44_SY58 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(516,plain,
! [SV1: $i,SV29: $i] :
( ( ( ~ ( in @ SV29 @ SV1 )
| ~ ( in @ SV29 @ SV29 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(517,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK45_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(518,plain,
! [SV1: $i] :
( ( ( ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK45_SY58 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(519,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( in @ SV18 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV18 @ SV18 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(520,plain,
! [SV1: $i,SV30: $i] :
( ( ( ~ ( in @ SV30 @ SV1 )
| ~ ( in @ SV30 @ SV30 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(521,plain,
! [SV1: $i,SV31: $i] :
( ( ( ~ ~ ( ~ ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ ( sK32_SY58 @ SV1 ) )
| ( SV31 = SY139 )
| ( in @ SV31 @ SY139 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(522,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( in @ SV19 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV19 @ SV19 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(523,plain,
! [SV1: $i,SV32: $i] :
( ( ( ~ ( in @ SV32 @ SV1 )
| ~ ( in @ SV32 @ SV32 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(524,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK33_SY58 @ SV1 ) )
| ( SV33 = SY140 )
| ( in @ SV33 @ SY140 ) ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(525,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( in @ SV20 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV20 @ SV20 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(526,plain,
! [SV1: $i,SV34: $i] :
( ( ( ~ ( in @ SV34 @ SV1 )
| ~ ( in @ SV34 @ SV34 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(527,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ ( sK34_SY58 @ SV1 ) )
| ( SV35 = SY141 )
| ( in @ SV35 @ SY141 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(528,plain,
! [SV1: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV21 @ SV21 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(529,plain,
! [SV1: $i,SV36: $i] :
( ( ( ~ ( in @ SV36 @ SV1 )
| ~ ( in @ SV36 @ SV36 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(530,plain,
! [SV1: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK35_SY58 @ SV1 ) )
| ( SV37 = SY142 )
| ( in @ SV37 @ SY142 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(531,plain,
! [SV1: $i] :
( ( ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(532,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK50_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(533,plain,
! [SV1: $i] :
( ( ( ~ ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK50_SY58 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(534,plain,
! [SV1: $i] :
( ( ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(535,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK51_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(536,plain,
! [SV1: $i] :
( ( ( ~ ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK51_SY58 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(537,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(538,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY129: $i] :
~ ~ ( ~ ( in @ SY129 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY130: $i] :
( ~ ( in @ SY130 @ ( sK60_SY58 @ SV1 ) )
| ( SY129 = SY130 )
| ( in @ SY129 @ SY130 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(539,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(540,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY132: $i] :
( ~ ( in @ SY132 @ ( sK61_SY58 @ SV1 ) )
| ( SY131 = SY132 )
| ( in @ SY131 @ SY132 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(541,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(542,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY133: $i] :
~ ~ ( ~ ( in @ SY133 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY134: $i] :
( ~ ( in @ SY134 @ ( sK62_SY58 @ SV1 ) )
| ( SY133 = SY134 )
| ( in @ SY133 @ SY134 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(543,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(544,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY135: $i] :
~ ~ ( ~ ( in @ SY135 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ ( sK63_SY58 @ SV1 ) )
| ( SY135 = SY136 )
| ( in @ SY135 @ SY136 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(545,plain,
! [SV1: $i] :
( ( ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(546,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK52_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(547,plain,
! [SV1: $i] :
( ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK52_SY58 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(548,plain,
! [SV1: $i] :
( ( ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(549,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK53_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(550,plain,
! [SV1: $i] :
( ( ( ~ ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK53_SY58 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(551,plain,
! [SV1: $i] :
( ( ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(552,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK54_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(553,plain,
! [SV1: $i] :
( ( ( ~ ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK54_SY58 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(554,plain,
! [SV1: $i] :
( ( ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(555,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK55_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(556,plain,
! [SV1: $i] :
( ( ( ~ ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK55_SY58 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(557,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK64_SY58 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[463]) ).
thf(558,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY145: $i] :
~ ~ ( ~ ( in @ SY145 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ ( sK65_SY58 @ SV1 ) )
| ( SY145 = SY146 )
| ( in @ SY145 @ SY146 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[464]) ).
thf(559,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(560,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(561,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(562,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(563,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( in @ SY147 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY148: $i] :
( ~ ( in @ SY148 @ ( sK66_SY58 @ SV1 ) )
| ( SY147 = SY148 )
| ( in @ SY147 @ SY148 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[469]) ).
thf(564,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( in @ SY149 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY150: $i] :
( ~ ( in @ SY150 @ ( sK67_SY58 @ SV1 ) )
| ( SY149 = SY150 )
| ( in @ SY149 @ SY150 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[470]) ).
thf(565,plain,
! [SV1: $i] :
( ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(566,plain,
! [SV1: $i] :
( ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(567,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[473]) ).
thf(568,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(569,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(570,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[476]) ).
thf(571,plain,
! [SV1: $i] :
( ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(572,plain,
! [SV1: $i] :
( ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(573,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(574,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(575,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV1 )
| ~ ( in @ SY57 @ SY57 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(576,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(577,plain,
! [SV1: $i] :
( ( ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(578,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK58_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(579,plain,
! [SV1: $i] :
( ( ( ~ ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK58_SY58 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(580,plain,
! [SV1: $i] :
( ( ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(581,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK59_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(582,plain,
! [SV1: $i] :
( ( ( ~ ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK59_SY58 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(583,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( in @ SY151 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY152: $i] :
( ~ ( in @ SY152 @ ( sK72_SY58 @ SV1 ) )
| ( SY151 = SY152 )
| ( in @ SY151 @ SY152 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[487]) ).
thf(584,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK73_SY58 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[488]) ).
thf(585,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(586,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(587,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(588,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(589,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK74_SY58 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[493]) ).
thf(590,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK75_SY58 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[494]) ).
thf(591,plain,
! [SV1: $i,SV12: $i] :
( ( ( in @ SV12 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(592,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( in @ SV13 @ ( sK20_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK20_SY58 @ SV1 ) )
| ( SV13 = SY111 )
| ( in @ SV13 @ SY111 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(593,plain,
! [SV1: $i,SV14: $i] :
( ( ( in @ SV14 @ SV14 )
= $false )
| ( ( in @ SV14 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(594,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( in @ SV15 @ ( sK21_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK21_SY58 @ SV1 ) )
| ( SV15 = SY112 )
| ( in @ SV15 @ SY112 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(595,plain,
! [SV1: $i,SV16: $i] :
( ( ( in @ SV16 @ SV1 )
= $false )
| ( ( ~ ( in @ SV16 @ SV16 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(596,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV22 @ SV22 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(597,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ( ~ ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ ( sK30_SY58 @ SV1 ) )
| ( SV23 = SY137 )
| ( in @ SV23 @ SY137 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(598,plain,
! [SV1: $i,SV17: $i] :
( ( ( in @ SV17 @ SV1 )
= $false )
| ( ( ~ ( in @ SV17 @ SV17 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(599,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( in @ SV24 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV24 @ SV24 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(600,plain,
! [SV1: $i,SV25: $i] :
( ( ( ~ ( ~ ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK31_SY58 @ SV1 ) )
| ( SV25 = SY138 )
| ( in @ SV25 @ SY138 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(601,plain,
! [SV1: $i,SV26: $i] :
( ( ( ~ ( in @ SV26 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV26 @ SV26 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(602,plain,
! [SV1: $i,SV38: $i] :
( ( ( ~ ( in @ SV38 @ SV1 )
| ~ ( in @ SV38 @ SV38 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(603,plain,
! [SV1: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ ( sK42_SY58 @ SV1 ) )
| ( SV39 = SY159 )
| ( in @ SV39 @ SY159 ) ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(604,plain,
! [SV1: $i,SV27: $i] :
( ( ( ~ ( in @ SV27 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV27 @ SV27 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(605,plain,
! [SV1: $i,SV40: $i] :
( ( ( ~ ( in @ SV40 @ SV1 )
| ~ ( in @ SV40 @ SV40 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(606,plain,
! [SV1: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK43_SY58 @ SV1 ) )
| ( SV41 = SY160 )
| ( in @ SV41 @ SY160 ) ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(607,plain,
! [SV1: $i,SV28: $i] :
( ( ( ~ ( in @ SV28 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV28 @ SV28 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(608,plain,
! [SV1: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV1 )
| ~ ( in @ SV42 @ SV42 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(609,plain,
! [SV1: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK44_SY58 @ SV1 ) )
| ( SV43 = SY161 )
| ( in @ SV43 @ SY161 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(610,plain,
! [SV1: $i,SV29: $i] :
( ( ( ~ ( in @ SV29 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV29 @ SV29 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(611,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ SV1 )
| ~ ( in @ SV44 @ SV44 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(612,plain,
! [SV1: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK45_SY58 @ SV1 ) )
| ( SV45 = SY162 )
| ( in @ SV45 @ SY162 ) ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(613,plain,
! [SV1: $i,SV18: $i] :
( ( ( in @ SV18 @ SV1 )
= $false )
| ( ( ~ ( in @ SV18 @ SV18 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(614,plain,
! [SV1: $i,SV30: $i] :
( ( ( ~ ( in @ SV30 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV30 @ SV30 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(615,plain,
! [SV1: $i,SV31: $i] :
( ( ( ~ ( ~ ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ ( sK32_SY58 @ SV1 ) )
| ( SV31 = SY139 )
| ( in @ SV31 @ SY139 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(616,plain,
! [SV1: $i,SV19: $i] :
( ( ( in @ SV19 @ SV1 )
= $false )
| ( ( ~ ( in @ SV19 @ SV19 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(617,plain,
! [SV1: $i,SV32: $i] :
( ( ( ~ ( in @ SV32 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV32 @ SV32 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(618,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ( ~ ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK33_SY58 @ SV1 ) )
| ( SV33 = SY140 )
| ( in @ SV33 @ SY140 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(619,plain,
! [SV1: $i,SV20: $i] :
( ( ( in @ SV20 @ SV1 )
= $false )
| ( ( ~ ( in @ SV20 @ SV20 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(620,plain,
! [SV1: $i,SV34: $i] :
( ( ( ~ ( in @ SV34 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV34 @ SV34 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(621,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ( ~ ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ ( sK34_SY58 @ SV1 ) )
| ( SV35 = SY141 )
| ( in @ SV35 @ SY141 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(622,plain,
! [SV1: $i,SV21: $i] :
( ( ( in @ SV21 @ SV1 )
= $false )
| ( ( ~ ( in @ SV21 @ SV21 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(623,plain,
! [SV1: $i,SV36: $i] :
( ( ( ~ ( in @ SV36 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV36 @ SV36 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(624,plain,
! [SV1: $i,SV37: $i] :
( ( ( ~ ( ~ ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK35_SY58 @ SV1 ) )
| ( SV37 = SY142 )
| ( in @ SV37 @ SY142 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(625,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( in @ SV46 @ SV1 )
| ~ ( in @ SV46 @ SV46 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(626,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK50_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(627,plain,
! [SV1: $i] :
( ( ( ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK50_SY58 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(628,plain,
! [SV1: $i,SV47: $i] :
( ( ( ~ ( in @ SV47 @ SV1 )
| ~ ( in @ SV47 @ SV47 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(629,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK51_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(630,plain,
! [SV1: $i] :
( ( ( ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK51_SY58 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(631,plain,
! [SV1: $i] :
( ( ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(632,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK60_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(633,plain,
! [SV1: $i] :
( ( ( ~ ! [SY129: $i] :
~ ~ ( ~ ( in @ SY129 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY130: $i] :
( ~ ( in @ SY130 @ ( sK60_SY58 @ SV1 ) )
| ( SY129 = SY130 )
| ( in @ SY129 @ SY130 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(634,plain,
! [SV1: $i] :
( ( ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(635,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK61_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(636,plain,
! [SV1: $i] :
( ( ( ~ ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY132: $i] :
( ~ ( in @ SY132 @ ( sK61_SY58 @ SV1 ) )
| ( SY131 = SY132 )
| ( in @ SY131 @ SY132 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(637,plain,
! [SV1: $i] :
( ( ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(638,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK62_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(639,plain,
! [SV1: $i] :
( ( ( ~ ! [SY133: $i] :
~ ~ ( ~ ( in @ SY133 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY134: $i] :
( ~ ( in @ SY134 @ ( sK62_SY58 @ SV1 ) )
| ( SY133 = SY134 )
| ( in @ SY133 @ SY134 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(640,plain,
! [SV1: $i] :
( ( ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(641,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK63_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(642,plain,
! [SV1: $i] :
( ( ( ~ ! [SY135: $i] :
~ ~ ( ~ ( in @ SY135 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ ( sK63_SY58 @ SV1 ) )
| ( SY135 = SY136 )
| ( in @ SY135 @ SY136 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(643,plain,
! [SV1: $i,SV48: $i] :
( ( ( ~ ( in @ SV48 @ SV1 )
| ~ ( in @ SV48 @ SV48 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(644,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK52_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(645,plain,
! [SV1: $i] :
( ( ( ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK52_SY58 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(646,plain,
! [SV1: $i,SV49: $i] :
( ( ( ~ ( in @ SV49 @ SV1 )
| ~ ( in @ SV49 @ SV49 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(647,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK53_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(648,plain,
! [SV1: $i] :
( ( ( ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK53_SY58 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(649,plain,
! [SV1: $i,SV50: $i] :
( ( ( ~ ( in @ SV50 @ SV1 )
| ~ ( in @ SV50 @ SV50 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(650,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK54_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(651,plain,
! [SV1: $i] :
( ( ( ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK54_SY58 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(652,plain,
! [SV1: $i,SV51: $i] :
( ( ( ~ ( in @ SV51 @ SV1 )
| ~ ( in @ SV51 @ SV51 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(653,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK55_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(654,plain,
! [SV1: $i] :
( ( ( ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK55_SY58 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(655,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(656,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK64_SY58 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(657,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(658,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY145: $i] :
~ ~ ( ~ ( in @ SY145 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ ( sK65_SY58 @ SV1 ) )
| ( SY145 = SY146 )
| ( in @ SY145 @ SY146 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(659,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY163: $i] :
~ ~ ( ~ ( in @ SY163 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ ( sK76_SY58 @ SV1 ) )
| ( SY163 = SY164 )
| ( in @ SY163 @ SY164 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[559]) ).
thf(660,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY165: $i] :
~ ~ ( ~ ( in @ SY165 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ ( sK77_SY58 @ SV1 ) )
| ( SY165 = SY166 )
| ( in @ SY165 @ SY166 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[560]) ).
thf(661,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY167: $i] :
~ ~ ( ~ ( in @ SY167 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK78_SY58 @ SV1 ) )
| ( SY167 = SY168 )
| ( in @ SY167 @ SY168 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[561]) ).
thf(662,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY169: $i] :
~ ~ ( ~ ( in @ SY169 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK79_SY58 @ SV1 ) )
| ( SY169 = SY170 )
| ( in @ SY169 @ SY170 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(663,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(664,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY147: $i] :
~ ~ ( ~ ( in @ SY147 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY148: $i] :
( ~ ( in @ SY148 @ ( sK66_SY58 @ SV1 ) )
| ( SY147 = SY148 )
| ( in @ SY147 @ SY148 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(665,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(666,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY149: $i] :
~ ~ ( ~ ( in @ SY149 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY150: $i] :
( ~ ( in @ SY150 @ ( sK67_SY58 @ SV1 ) )
| ( SY149 = SY150 )
| ( in @ SY149 @ SY150 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(667,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(668,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(669,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK68_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(670,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(671,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[568]) ).
thf(672,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[569]) ).
thf(673,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK69_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(674,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(675,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(676,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(677,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK70_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(678,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(679,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(680,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[575]) ).
thf(681,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK71_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(682,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(683,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( in @ SV52 @ SV1 )
| ~ ( in @ SV52 @ SV52 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(684,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK58_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(685,plain,
! [SV1: $i] :
( ( ( ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK58_SY58 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(686,plain,
! [SV1: $i,SV53: $i] :
( ( ( ~ ( in @ SV53 @ SV1 )
| ~ ( in @ SV53 @ SV53 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(687,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK59_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(688,plain,
! [SV1: $i] :
( ( ( ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK59_SY58 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(689,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(690,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( in @ SY151 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY152: $i] :
( ~ ( in @ SY152 @ ( sK72_SY58 @ SV1 ) )
| ( SY151 = SY152 )
| ( in @ SY151 @ SY152 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(691,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(692,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK73_SY58 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(693,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK84_SY58 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[585]) ).
thf(694,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK85_SY58 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[586]) ).
thf(695,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK86_SY58 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[587]) ).
thf(696,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK87_SY58 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[588]) ).
thf(697,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(698,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK74_SY58 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(699,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(700,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK75_SY58 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(701,plain,
! [SV1: $i,SV13: $i] :
( ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK20_SY58 @ SV1 ) )
| ( SV13 = SY111 )
| ( in @ SV13 @ SY111 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(702,plain,
! [SV1: $i,SV15: $i] :
( ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK21_SY58 @ SV1 ) )
| ( SV15 = SY112 )
| ( in @ SV15 @ SY112 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(703,plain,
! [SV1: $i,SV16: $i] :
( ( ( in @ SV16 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK30_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(704,plain,
! [SV1: $i,SV22: $i] :
( ( ( in @ SV22 @ SV1 )
= $false )
| ( ( ~ ( in @ SV22 @ SV22 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(705,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ ( sK30_SY58 @ SV1 ) )
| ( SV23 = SY137 )
| ( in @ SV23 @ SY137 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(706,plain,
! [SV1: $i,SV17: $i] :
( ( ( in @ SV17 @ SV17 )
= $false )
| ( ( in @ SV17 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(707,plain,
! [SV1: $i,SV24: $i] :
( ( ( in @ SV24 @ SV1 )
= $false )
| ( ( ~ ( in @ SV24 @ SV24 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(708,plain,
! [SV1: $i,SV25: $i] :
( ( ( ~ ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK31_SY58 @ SV1 ) )
| ( SV25 = SY138 )
| ( in @ SV25 @ SY138 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(709,plain,
! [SV1: $i,SV26: $i] :
( ( ( in @ SV26 @ SV1 )
= $false )
| ( ( ~ ( in @ SV26 @ SV26 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(710,plain,
! [SV1: $i,SV38: $i] :
( ( ( ~ ( in @ SV38 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV38 @ SV38 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(711,plain,
! [SV1: $i,SV39: $i] :
( ( ( ~ ( ~ ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ ( sK42_SY58 @ SV1 ) )
| ( SV39 = SY159 )
| ( in @ SV39 @ SY159 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(712,plain,
! [SV1: $i,SV27: $i] :
( ( ( in @ SV27 @ SV1 )
= $false )
| ( ( ~ ( in @ SV27 @ SV27 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(713,plain,
! [SV1: $i,SV40: $i] :
( ( ( ~ ( in @ SV40 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV40 @ SV40 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(714,plain,
! [SV1: $i,SV41: $i] :
( ( ( ~ ( ~ ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK43_SY58 @ SV1 ) )
| ( SV41 = SY160 )
| ( in @ SV41 @ SY160 ) ) ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(715,plain,
! [SV1: $i,SV28: $i] :
( ( ( in @ SV28 @ SV1 )
= $false )
| ( ( ~ ( in @ SV28 @ SV28 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(716,plain,
! [SV1: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV42 @ SV42 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(717,plain,
! [SV1: $i,SV43: $i] :
( ( ( ~ ( ~ ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK44_SY58 @ SV1 ) )
| ( SV43 = SY161 )
| ( in @ SV43 @ SY161 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(718,plain,
! [SV1: $i,SV29: $i] :
( ( ( in @ SV29 @ SV1 )
= $false )
| ( ( ~ ( in @ SV29 @ SV29 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(719,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV44 @ SV44 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(720,plain,
! [SV1: $i,SV45: $i] :
( ( ( ~ ( ~ ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK45_SY58 @ SV1 ) )
| ( SV45 = SY162 )
| ( in @ SV45 @ SY162 ) ) ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(721,plain,
! [SV1: $i,SV18: $i] :
( ( ( in @ SV18 @ SV18 )
= $false )
| ( ( in @ SV18 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK32_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(722,plain,
! [SV1: $i,SV30: $i] :
( ( ( in @ SV30 @ SV1 )
= $false )
| ( ( ~ ( in @ SV30 @ SV30 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(723,plain,
! [SV1: $i,SV31: $i] :
( ( ( ~ ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ ( sK32_SY58 @ SV1 ) )
| ( SV31 = SY139 )
| ( in @ SV31 @ SY139 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(724,plain,
! [SV1: $i,SV19: $i] :
( ( ( in @ SV19 @ SV19 )
= $false )
| ( ( in @ SV19 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK33_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(725,plain,
! [SV1: $i,SV32: $i] :
( ( ( in @ SV32 @ SV1 )
= $false )
| ( ( ~ ( in @ SV32 @ SV32 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(726,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK33_SY58 @ SV1 ) )
| ( SV33 = SY140 )
| ( in @ SV33 @ SY140 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(727,plain,
! [SV1: $i,SV20: $i] :
( ( ( in @ SV20 @ SV20 )
= $false )
| ( ( in @ SV20 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(728,plain,
! [SV1: $i,SV34: $i] :
( ( ( in @ SV34 @ SV1 )
= $false )
| ( ( ~ ( in @ SV34 @ SV34 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(729,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ ( sK34_SY58 @ SV1 ) )
| ( SV35 = SY141 )
| ( in @ SV35 @ SY141 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(730,plain,
! [SV1: $i,SV21: $i] :
( ( ( in @ SV21 @ SV21 )
= $false )
| ( ( in @ SV21 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK35_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(731,plain,
! [SV1: $i,SV36: $i] :
( ( ( in @ SV36 @ SV1 )
= $false )
| ( ( ~ ( in @ SV36 @ SV36 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(732,plain,
! [SV1: $i,SV37: $i] :
( ( ( ~ ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK35_SY58 @ SV1 ) )
| ( SV37 = SY142 )
| ( in @ SV37 @ SY142 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(733,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( in @ SV46 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV46 @ SV46 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(734,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( in @ SV54 @ SV1 )
| ~ ( in @ SV54 @ SV54 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(735,plain,
! [SV1: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ ( sK50_SY58 @ SV1 ) )
| ( SV55 = SY179 )
| ( in @ SV55 @ SY179 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(736,plain,
! [SV1: $i,SV47: $i] :
( ( ( ~ ( in @ SV47 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV47 @ SV47 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(737,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( in @ SV56 @ SV1 )
| ~ ( in @ SV56 @ SV56 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(738,plain,
! [SV1: $i,SV57: $i] :
( ( ( ~ ~ ( ~ ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK51_SY58 @ SV1 ) )
| ( SV57 = SY180 )
| ( in @ SV57 @ SY180 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(739,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( in @ SV58 @ SV1 )
| ~ ( in @ SV58 @ SV58 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(740,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK60_SY58 @ SV1 ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(741,plain,
! [SV1: $i] :
( ( ( ! [SY129: $i] :
~ ~ ( ~ ( in @ SY129 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY130: $i] :
( ~ ( in @ SY130 @ ( sK60_SY58 @ SV1 ) )
| ( SY129 = SY130 )
| ( in @ SY129 @ SY130 ) ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(742,plain,
! [SV1: $i,SV59: $i] :
( ( ( ~ ( in @ SV59 @ SV1 )
| ~ ( in @ SV59 @ SV59 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(743,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK61_SY58 @ SV1 ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(744,plain,
! [SV1: $i] :
( ( ( ! [SY131: $i] :
~ ~ ( ~ ( in @ SY131 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY132: $i] :
( ~ ( in @ SY132 @ ( sK61_SY58 @ SV1 ) )
| ( SY131 = SY132 )
| ( in @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(745,plain,
! [SV1: $i,SV60: $i] :
( ( ( ~ ( in @ SV60 @ SV1 )
| ~ ( in @ SV60 @ SV60 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(746,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK62_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(747,plain,
! [SV1: $i] :
( ( ( ! [SY133: $i] :
~ ~ ( ~ ( in @ SY133 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY134: $i] :
( ~ ( in @ SY134 @ ( sK62_SY58 @ SV1 ) )
| ( SY133 = SY134 )
| ( in @ SY133 @ SY134 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(748,plain,
! [SV1: $i,SV61: $i] :
( ( ( ~ ( in @ SV61 @ SV1 )
| ~ ( in @ SV61 @ SV61 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(749,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK63_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(750,plain,
! [SV1: $i] :
( ( ( ! [SY135: $i] :
~ ~ ( ~ ( in @ SY135 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ ( sK63_SY58 @ SV1 ) )
| ( SY135 = SY136 )
| ( in @ SY135 @ SY136 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(751,plain,
! [SV1: $i,SV48: $i] :
( ( ( ~ ( in @ SV48 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV48 @ SV48 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(752,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( in @ SV62 @ SV1 )
| ~ ( in @ SV62 @ SV62 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(753,plain,
! [SV1: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ ( sK52_SY58 @ SV1 ) )
| ( SV63 = SY181 )
| ( in @ SV63 @ SY181 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(754,plain,
! [SV1: $i,SV49: $i] :
( ( ( ~ ( in @ SV49 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV49 @ SV49 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(755,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( in @ SV64 @ SV1 )
| ~ ( in @ SV64 @ SV64 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(756,plain,
! [SV1: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK53_SY58 @ SV1 ) )
| ( SV65 = SY182 )
| ( in @ SV65 @ SY182 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(757,plain,
! [SV1: $i,SV50: $i] :
( ( ( ~ ( in @ SV50 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV50 @ SV50 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(758,plain,
! [SV1: $i,SV66: $i] :
( ( ( ~ ( in @ SV66 @ SV1 )
| ~ ( in @ SV66 @ SV66 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(759,plain,
! [SV1: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ ( sK54_SY58 @ SV1 ) )
| ( SV67 = SY183 )
| ( in @ SV67 @ SY183 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(760,plain,
! [SV1: $i,SV51: $i] :
( ( ( ~ ( in @ SV51 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV51 @ SV51 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(761,plain,
! [SV1: $i,SV68: $i] :
( ( ( ~ ( in @ SV68 @ SV1 )
| ~ ( in @ SV68 @ SV68 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(762,plain,
! [SV1: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK55_SY58 @ SV1 ) )
| ( SV69 = SY184 )
| ( in @ SV69 @ SY184 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(763,plain,
! [SV1: $i] :
( ( ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(764,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK64_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(765,plain,
! [SV1: $i] :
( ( ( ~ ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK64_SY58 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(766,plain,
! [SV1: $i] :
( ( ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(767,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK65_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(768,plain,
! [SV1: $i] :
( ( ( ~ ! [SY145: $i] :
~ ~ ( ~ ( in @ SY145 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ ( sK65_SY58 @ SV1 ) )
| ( SY145 = SY146 )
| ( in @ SY145 @ SY146 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(769,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(770,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY163: $i] :
~ ~ ( ~ ( in @ SY163 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ ( sK76_SY58 @ SV1 ) )
| ( SY163 = SY164 )
| ( in @ SY163 @ SY164 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(771,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(772,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY165: $i] :
~ ~ ( ~ ( in @ SY165 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ ( sK77_SY58 @ SV1 ) )
| ( SY165 = SY166 )
| ( in @ SY165 @ SY166 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(773,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(774,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY167: $i] :
~ ~ ( ~ ( in @ SY167 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK78_SY58 @ SV1 ) )
| ( SY167 = SY168 )
| ( in @ SY167 @ SY168 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(775,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(776,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY169: $i] :
~ ~ ( ~ ( in @ SY169 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK79_SY58 @ SV1 ) )
| ( SY169 = SY170 )
| ( in @ SY169 @ SY170 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(777,plain,
! [SV1: $i] :
( ( ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(778,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK66_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(779,plain,
! [SV1: $i] :
( ( ( ~ ! [SY147: $i] :
~ ~ ( ~ ( in @ SY147 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY148: $i] :
( ~ ( in @ SY148 @ ( sK66_SY58 @ SV1 ) )
| ( SY147 = SY148 )
| ( in @ SY147 @ SY148 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(780,plain,
! [SV1: $i] :
( ( ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(781,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK67_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(782,plain,
! [SV1: $i] :
( ( ( ~ ! [SY149: $i] :
~ ~ ( ~ ( in @ SY149 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY150: $i] :
( ~ ( in @ SY150 @ ( sK67_SY58 @ SV1 ) )
| ( SY149 = SY150 )
| ( in @ SY149 @ SY150 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(783,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK88_SY58 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[667]) ).
thf(784,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY187: $i] :
~ ~ ( ~ ( in @ SY187 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK89_SY58 @ SV1 ) )
| ( SY187 = SY188 )
| ( in @ SY187 @ SY188 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[668]) ).
thf(785,plain,
! [SV1: $i] :
( ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(786,plain,
! [SV1: $i] :
( ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(787,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK80_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(788,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(789,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK81_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(790,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(791,plain,
! [SV1: $i] :
( ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(792,plain,
! [SV1: $i] :
( ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(793,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY189: $i] :
~ ~ ( ~ ( in @ SY189 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ ( sK90_SY58 @ SV1 ) )
| ( SY189 = SY190 )
| ( in @ SY189 @ SY190 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[675]) ).
thf(794,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY191: $i] :
~ ~ ( ~ ( in @ SY191 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ ( sK91_SY58 @ SV1 ) )
| ( SY191 = SY192 )
| ( in @ SY191 @ SY192 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[676]) ).
thf(795,plain,
! [SV1: $i] :
( ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(796,plain,
! [SV1: $i] :
( ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(797,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK82_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(798,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(799,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK83_SY57 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(800,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(801,plain,
! [SV1: $i] :
( ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(802,plain,
! [SV1: $i] :
( ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(803,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( in @ SV52 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV52 @ SV52 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(804,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( in @ SV70 @ SV1 )
| ~ ( in @ SV70 @ SV70 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(805,plain,
! [SV1: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK58_SY58 @ SV1 ) )
| ( SV71 = SY193 )
| ( in @ SV71 @ SY193 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(806,plain,
! [SV1: $i,SV53: $i] :
( ( ( ~ ( in @ SV53 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV53 @ SV53 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(807,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( in @ SV72 @ SV1 )
| ~ ( in @ SV72 @ SV72 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(808,plain,
! [SV1: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK59_SY58 @ SV1 ) )
| ( SV73 = SY194 )
| ( in @ SV73 @ SY194 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(809,plain,
! [SV1: $i] :
( ( ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(810,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK72_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(811,plain,
! [SV1: $i] :
( ( ( ~ ! [SY151: $i] :
~ ~ ( ~ ( in @ SY151 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY152: $i] :
( ~ ( in @ SY152 @ ( sK72_SY58 @ SV1 ) )
| ( SY151 = SY152 )
| ( in @ SY151 @ SY152 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(812,plain,
! [SV1: $i] :
( ( ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(813,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK73_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(814,plain,
! [SV1: $i] :
( ( ( ~ ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK73_SY58 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(815,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(816,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK84_SY58 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(817,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(818,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK85_SY58 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(819,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(820,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK86_SY58 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(821,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(822,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK87_SY58 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(823,plain,
! [SV1: $i] :
( ( ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(824,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK74_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(825,plain,
! [SV1: $i] :
( ( ( ~ ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK74_SY58 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(826,plain,
! [SV1: $i] :
( ( ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(827,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK75_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(828,plain,
! [SV1: $i] :
( ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK75_SY58 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(829,plain,
! [SV13: $i,SV1: $i] :
( ( ( ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK20_SY58 @ SV1 ) )
| ( SV13 = SY111 )
| ( in @ SV13 @ SY111 ) ) )
= $false )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(830,plain,
! [SV15: $i,SV1: $i] :
( ( ( ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK21_SY58 @ SV1 ) )
| ( SV15 = SY112 )
| ( in @ SV15 @ SY112 ) ) )
= $false )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(831,plain,
! [SV1: $i,SV22: $i] :
( ( ( in @ SV22 @ SV22 )
= $false )
| ( ( in @ SV22 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(832,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ ( sK30_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ ( sK30_SY58 @ SV1 ) )
| ( SV23 = SY137 )
| ( in @ SV23 @ SY137 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(833,plain,
! [SV1: $i,SV24: $i] :
( ( ( in @ SV24 @ SV24 )
= $false )
| ( ( in @ SV24 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(834,plain,
! [SV1: $i,SV25: $i] :
( ( ( ~ ( in @ SV25 @ ( sK31_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK31_SY58 @ SV1 ) )
| ( SV25 = SY138 )
| ( in @ SV25 @ SY138 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(835,plain,
! [SV1: $i,SV26: $i] :
( ( ( in @ SV26 @ SV26 )
= $false )
| ( ( in @ SV26 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK42_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(836,plain,
! [SV1: $i,SV38: $i] :
( ( ( in @ SV38 @ SV1 )
= $false )
| ( ( ~ ( in @ SV38 @ SV38 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(837,plain,
! [SV1: $i,SV39: $i] :
( ( ( ~ ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ ( sK42_SY58 @ SV1 ) )
| ( SV39 = SY159 )
| ( in @ SV39 @ SY159 ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(838,plain,
! [SV1: $i,SV27: $i] :
( ( ( in @ SV27 @ SV27 )
= $false )
| ( ( in @ SV27 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK43_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(839,plain,
! [SV1: $i,SV40: $i] :
( ( ( in @ SV40 @ SV1 )
= $false )
| ( ( ~ ( in @ SV40 @ SV40 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(840,plain,
! [SV1: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK43_SY58 @ SV1 ) )
| ( SV41 = SY160 )
| ( in @ SV41 @ SY160 ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(841,plain,
! [SV1: $i,SV28: $i] :
( ( ( in @ SV28 @ SV28 )
= $false )
| ( ( in @ SV28 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK44_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(842,plain,
! [SV1: $i,SV42: $i] :
( ( ( in @ SV42 @ SV1 )
= $false )
| ( ( ~ ( in @ SV42 @ SV42 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(843,plain,
! [SV1: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK44_SY58 @ SV1 ) )
| ( SV43 = SY161 )
| ( in @ SV43 @ SY161 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(844,plain,
! [SV1: $i,SV29: $i] :
( ( ( in @ SV29 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(845,plain,
! [SV1: $i,SV44: $i] :
( ( ( in @ SV44 @ SV1 )
= $false )
| ( ( ~ ( in @ SV44 @ SV44 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(846,plain,
! [SV1: $i,SV45: $i] :
( ( ( ~ ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
| ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK45_SY58 @ SV1 ) )
| ( SV45 = SY162 )
| ( in @ SV45 @ SY162 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(847,plain,
! [SV1: $i,SV30: $i] :
( ( ( in @ SV30 @ SV30 )
= $false )
| ( ( in @ SV30 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(848,plain,
! [SV1: $i,SV31: $i] :
( ( ( ~ ( in @ SV31 @ ( sK32_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ ( sK32_SY58 @ SV1 ) )
| ( SV31 = SY139 )
| ( in @ SV31 @ SY139 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(849,plain,
! [SV1: $i,SV32: $i] :
( ( ( in @ SV32 @ SV32 )
= $false )
| ( ( in @ SV32 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(850,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ( in @ SV33 @ ( sK33_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK33_SY58 @ SV1 ) )
| ( SV33 = SY140 )
| ( in @ SV33 @ SY140 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(851,plain,
! [SV1: $i,SV34: $i] :
( ( ( in @ SV34 @ SV34 )
= $false )
| ( ( in @ SV34 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(852,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ( in @ SV35 @ ( sK34_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ ( sK34_SY58 @ SV1 ) )
| ( SV35 = SY141 )
| ( in @ SV35 @ SY141 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(853,plain,
! [SV1: $i,SV36: $i] :
( ( ( in @ SV36 @ SV36 )
= $false )
| ( ( in @ SV36 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(854,plain,
! [SV1: $i,SV37: $i] :
( ( ( ~ ( in @ SV37 @ ( sK35_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK35_SY58 @ SV1 ) )
| ( SV37 = SY142 )
| ( in @ SV37 @ SY142 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(855,plain,
! [SV1: $i,SV46: $i] :
( ( ( in @ SV46 @ SV1 )
= $false )
| ( ( ~ ( in @ SV46 @ SV46 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(856,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( in @ SV54 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV54 @ SV54 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(857,plain,
! [SV1: $i,SV55: $i] :
( ( ( ~ ( ~ ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ ( sK50_SY58 @ SV1 ) )
| ( SV55 = SY179 )
| ( in @ SV55 @ SY179 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(858,plain,
! [SV1: $i,SV47: $i] :
( ( ( in @ SV47 @ SV1 )
= $false )
| ( ( ~ ( in @ SV47 @ SV47 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(859,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( in @ SV56 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV56 @ SV56 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(860,plain,
! [SV1: $i,SV57: $i] :
( ( ( ~ ( ~ ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK51_SY58 @ SV1 ) )
| ( SV57 = SY180 )
| ( in @ SV57 @ SY180 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(861,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( in @ SV58 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV58 @ SV58 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(862,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( in @ SV74 @ SV1 )
| ~ ( in @ SV74 @ SV74 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(863,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK60_SY58 @ SV1 ) )
| ( SV75 = SY195 )
| ( in @ SV75 @ SY195 ) ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(864,plain,
! [SV1: $i,SV59: $i] :
( ( ( ~ ( in @ SV59 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV59 @ SV59 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(865,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( in @ SV76 @ SV1 )
| ~ ( in @ SV76 @ SV76 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(866,plain,
! [SV1: $i,SV77: $i] :
( ( ( ~ ~ ( ~ ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK61_SY58 @ SV1 ) )
| ( SV77 = SY196 )
| ( in @ SV77 @ SY196 ) ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(867,plain,
! [SV1: $i,SV60: $i] :
( ( ( ~ ( in @ SV60 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV60 @ SV60 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(868,plain,
! [SV1: $i,SV78: $i] :
( ( ( ~ ( in @ SV78 @ SV1 )
| ~ ( in @ SV78 @ SV78 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(869,plain,
! [SV1: $i,SV79: $i] :
( ( ( ~ ~ ( ~ ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ ( sK62_SY58 @ SV1 ) )
| ( SV79 = SY197 )
| ( in @ SV79 @ SY197 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(870,plain,
! [SV1: $i,SV61: $i] :
( ( ( ~ ( in @ SV61 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV61 @ SV61 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(871,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( in @ SV80 @ SV1 )
| ~ ( in @ SV80 @ SV80 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(872,plain,
! [SV1: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK63_SY58 @ SV1 ) )
| ( SV81 = SY198 )
| ( in @ SV81 @ SY198 ) ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(873,plain,
! [SV1: $i,SV48: $i] :
( ( ( in @ SV48 @ SV1 )
= $false )
| ( ( ~ ( in @ SV48 @ SV48 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(874,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( in @ SV62 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV62 @ SV62 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(875,plain,
! [SV1: $i,SV63: $i] :
( ( ( ~ ( ~ ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ ( sK52_SY58 @ SV1 ) )
| ( SV63 = SY181 )
| ( in @ SV63 @ SY181 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(876,plain,
! [SV1: $i,SV49: $i] :
( ( ( in @ SV49 @ SV1 )
= $false )
| ( ( ~ ( in @ SV49 @ SV49 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(877,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( in @ SV64 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV64 @ SV64 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(878,plain,
! [SV1: $i,SV65: $i] :
( ( ( ~ ( ~ ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK53_SY58 @ SV1 ) )
| ( SV65 = SY182 )
| ( in @ SV65 @ SY182 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(879,plain,
! [SV1: $i,SV50: $i] :
( ( ( in @ SV50 @ SV1 )
= $false )
| ( ( ~ ( in @ SV50 @ SV50 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(880,plain,
! [SV1: $i,SV66: $i] :
( ( ( ~ ( in @ SV66 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV66 @ SV66 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(881,plain,
! [SV1: $i,SV67: $i] :
( ( ( ~ ( ~ ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ ( sK54_SY58 @ SV1 ) )
| ( SV67 = SY183 )
| ( in @ SV67 @ SY183 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(882,plain,
! [SV1: $i,SV51: $i] :
( ( ( in @ SV51 @ SV1 )
= $false )
| ( ( ~ ( in @ SV51 @ SV51 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(883,plain,
! [SV1: $i,SV68: $i] :
( ( ( ~ ( in @ SV68 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV68 @ SV68 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(884,plain,
! [SV1: $i,SV69: $i] :
( ( ( ~ ( ~ ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK55_SY58 @ SV1 ) )
| ( SV69 = SY184 )
| ( in @ SV69 @ SY184 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(885,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( in @ SV82 @ SV1 )
| ~ ( in @ SV82 @ SV82 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(886,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK64_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(887,plain,
! [SV1: $i] :
( ( ( ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK64_SY58 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(888,plain,
! [SV1: $i,SV83: $i] :
( ( ( ~ ( in @ SV83 @ SV1 )
| ~ ( in @ SV83 @ SV83 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(889,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK65_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(890,plain,
! [SV1: $i] :
( ( ( ! [SY145: $i] :
~ ~ ( ~ ( in @ SY145 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ ( sK65_SY58 @ SV1 ) )
| ( SY145 = SY146 )
| ( in @ SY145 @ SY146 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(891,plain,
! [SV1: $i] :
( ( ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(892,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK76_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(893,plain,
! [SV1: $i] :
( ( ( ~ ! [SY163: $i] :
~ ~ ( ~ ( in @ SY163 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ ( sK76_SY58 @ SV1 ) )
| ( SY163 = SY164 )
| ( in @ SY163 @ SY164 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(894,plain,
! [SV1: $i] :
( ( ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(895,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK77_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(896,plain,
! [SV1: $i] :
( ( ( ~ ! [SY165: $i] :
~ ~ ( ~ ( in @ SY165 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ ( sK77_SY58 @ SV1 ) )
| ( SY165 = SY166 )
| ( in @ SY165 @ SY166 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(897,plain,
! [SV1: $i] :
( ( ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(898,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK78_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(899,plain,
! [SV1: $i] :
( ( ( ~ ! [SY167: $i] :
~ ~ ( ~ ( in @ SY167 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK78_SY58 @ SV1 ) )
| ( SY167 = SY168 )
| ( in @ SY167 @ SY168 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(900,plain,
! [SV1: $i] :
( ( ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(901,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK79_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(902,plain,
! [SV1: $i] :
( ( ( ~ ! [SY169: $i] :
~ ~ ( ~ ( in @ SY169 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK79_SY58 @ SV1 ) )
| ( SY169 = SY170 )
| ( in @ SY169 @ SY170 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(903,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ SV1 )
| ~ ( in @ SV84 @ SV84 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(904,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK66_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(905,plain,
! [SV1: $i] :
( ( ( ! [SY147: $i] :
~ ~ ( ~ ( in @ SY147 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY148: $i] :
( ~ ( in @ SY148 @ ( sK66_SY58 @ SV1 ) )
| ( SY147 = SY148 )
| ( in @ SY147 @ SY148 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(906,plain,
! [SV1: $i,SV85: $i] :
( ( ( ~ ( in @ SV85 @ SV1 )
| ~ ( in @ SV85 @ SV85 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(907,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK67_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(908,plain,
! [SV1: $i] :
( ( ( ! [SY149: $i] :
~ ~ ( ~ ( in @ SY149 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY150: $i] :
( ~ ( in @ SY150 @ ( sK67_SY58 @ SV1 ) )
| ( SY149 = SY150 )
| ( in @ SY149 @ SY150 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(909,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(910,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK88_SY58 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(911,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(912,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY187: $i] :
~ ~ ( ~ ( in @ SY187 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK89_SY58 @ SV1 ) )
| ( SY187 = SY188 )
| ( in @ SY187 @ SY188 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(913,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(914,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(915,plain,
! [SV1: $i] :
( ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(916,plain,
! [SV1: $i] :
( ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(917,plain,
! [SV1: $i] :
( ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(918,plain,
! [SV1: $i] :
( ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(919,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(920,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(921,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(922,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY189: $i] :
~ ~ ( ~ ( in @ SY189 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ ( sK90_SY58 @ SV1 ) )
| ( SY189 = SY190 )
| ( in @ SY189 @ SY190 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(923,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(924,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY191: $i] :
~ ~ ( ~ ( in @ SY191 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ ( sK91_SY58 @ SV1 ) )
| ( SY191 = SY192 )
| ( in @ SY191 @ SY192 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(925,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(926,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(927,plain,
! [SV1: $i] :
( ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(928,plain,
! [SV1: $i] :
( ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(929,plain,
! [SV1: $i] :
( ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(930,plain,
! [SV1: $i] :
( ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(931,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(932,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(933,plain,
! [SV1: $i,SV52: $i] :
( ( ( in @ SV52 @ SV1 )
= $false )
| ( ( ~ ( in @ SV52 @ SV52 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(934,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( in @ SV70 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV70 @ SV70 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(935,plain,
! [SV1: $i,SV71: $i] :
( ( ( ~ ( ~ ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK58_SY58 @ SV1 ) )
| ( SV71 = SY193 )
| ( in @ SV71 @ SY193 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(936,plain,
! [SV1: $i,SV53: $i] :
( ( ( in @ SV53 @ SV1 )
= $false )
| ( ( ~ ( in @ SV53 @ SV53 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(937,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( in @ SV72 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV72 @ SV72 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(938,plain,
! [SV1: $i,SV73: $i] :
( ( ( ~ ( ~ ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK59_SY58 @ SV1 ) )
| ( SV73 = SY194 )
| ( in @ SV73 @ SY194 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(939,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( in @ SV86 @ SV1 )
| ~ ( in @ SV86 @ SV86 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(940,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK72_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(941,plain,
! [SV1: $i] :
( ( ( ! [SY151: $i] :
~ ~ ( ~ ( in @ SY151 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY152: $i] :
( ~ ( in @ SY152 @ ( sK72_SY58 @ SV1 ) )
| ( SY151 = SY152 )
| ( in @ SY151 @ SY152 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(942,plain,
! [SV1: $i,SV87: $i] :
( ( ( ~ ( in @ SV87 @ SV1 )
| ~ ( in @ SV87 @ SV87 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(943,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK73_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(944,plain,
! [SV1: $i] :
( ( ( ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK73_SY58 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(945,plain,
! [SV1: $i] :
( ( ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(946,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK84_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(947,plain,
! [SV1: $i] :
( ( ( ~ ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK84_SY58 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(948,plain,
! [SV1: $i] :
( ( ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(949,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK85_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(950,plain,
! [SV1: $i] :
( ( ( ~ ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK85_SY58 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(951,plain,
! [SV1: $i] :
( ( ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(952,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK86_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(953,plain,
! [SV1: $i] :
( ( ( ~ ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK86_SY58 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(954,plain,
! [SV1: $i] :
( ( ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(955,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK87_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(956,plain,
! [SV1: $i] :
( ( ( ~ ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK87_SY58 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(957,plain,
! [SV1: $i,SV88: $i] :
( ( ( ~ ( in @ SV88 @ SV1 )
| ~ ( in @ SV88 @ SV88 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(958,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK74_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(959,plain,
! [SV1: $i] :
( ( ( ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK74_SY58 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(960,plain,
! [SV1: $i,SV89: $i] :
( ( ( ~ ( in @ SV89 @ SV1 )
| ~ ( in @ SV89 @ SV89 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(961,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK75_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(962,plain,
! [SV1: $i] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK75_SY58 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(963,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) )
| ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
| ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) ) )
= $false )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[829]) ).
thf(964,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) )
| ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
| ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) ) )
= $false )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[830]) ).
thf(965,plain,
! [SV1: $i,SV23: $i] :
( ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ ( sK30_SY58 @ SV1 ) )
| ( SV23 = SY137 )
| ( in @ SV23 @ SY137 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(966,plain,
! [SV1: $i,SV25: $i] :
( ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK31_SY58 @ SV1 ) )
| ( SV25 = SY138 )
| ( in @ SV25 @ SY138 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(967,plain,
! [SV1: $i,SV38: $i] :
( ( ( in @ SV38 @ SV38 )
= $false )
| ( ( in @ SV38 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(968,plain,
! [SV1: $i,SV39: $i] :
( ( ( ~ ( in @ SV39 @ ( sK42_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ ( sK42_SY58 @ SV1 ) )
| ( SV39 = SY159 )
| ( in @ SV39 @ SY159 ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(969,plain,
! [SV1: $i,SV40: $i] :
( ( ( in @ SV40 @ SV40 )
= $false )
| ( ( in @ SV40 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(970,plain,
! [SV1: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ ( sK43_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK43_SY58 @ SV1 ) )
| ( SV41 = SY160 )
| ( in @ SV41 @ SY160 ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(971,plain,
! [SV1: $i,SV42: $i] :
( ( ( in @ SV42 @ SV42 )
= $false )
| ( ( in @ SV42 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(972,plain,
! [SV1: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ ( sK44_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK44_SY58 @ SV1 ) )
| ( SV43 = SY161 )
| ( in @ SV43 @ SY161 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(973,plain,
! [SV1: $i,SV44: $i] :
( ( ( in @ SV44 @ SV44 )
= $false )
| ( ( in @ SV44 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(974,plain,
! [SV1: $i,SV45: $i] :
( ( ( ~ ( in @ SV45 @ ( sK45_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK45_SY58 @ SV1 ) )
| ( SV45 = SY162 )
| ( in @ SV45 @ SY162 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(975,plain,
! [SV1: $i,SV31: $i] :
( ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ ( sK32_SY58 @ SV1 ) )
| ( SV31 = SY139 )
| ( in @ SV31 @ SY139 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(976,plain,
! [SV1: $i,SV33: $i] :
( ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK33_SY58 @ SV1 ) )
| ( SV33 = SY140 )
| ( in @ SV33 @ SY140 ) ) )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(977,plain,
! [SV1: $i,SV35: $i] :
( ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ ( sK34_SY58 @ SV1 ) )
| ( SV35 = SY141 )
| ( in @ SV35 @ SY141 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(978,plain,
! [SV1: $i,SV37: $i] :
( ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK35_SY58 @ SV1 ) )
| ( SV37 = SY142 )
| ( in @ SV37 @ SY142 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(979,plain,
! [SV1: $i,SV46: $i] :
( ( ( in @ SV46 @ SV46 )
= $false )
| ( ( in @ SV46 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(980,plain,
! [SV1: $i,SV54: $i] :
( ( ( in @ SV54 @ SV1 )
= $false )
| ( ( ~ ( in @ SV54 @ SV54 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(981,plain,
! [SV1: $i,SV55: $i] :
( ( ( ~ ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ ( sK50_SY58 @ SV1 ) )
| ( SV55 = SY179 )
| ( in @ SV55 @ SY179 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(982,plain,
! [SV1: $i,SV47: $i] :
( ( ( in @ SV47 @ SV47 )
= $false )
| ( ( in @ SV47 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(983,plain,
! [SV1: $i,SV56: $i] :
( ( ( in @ SV56 @ SV1 )
= $false )
| ( ( ~ ( in @ SV56 @ SV56 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(984,plain,
! [SV1: $i,SV57: $i] :
( ( ( ~ ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK51_SY58 @ SV1 ) )
| ( SV57 = SY180 )
| ( in @ SV57 @ SY180 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(985,plain,
! [SV1: $i,SV58: $i] :
( ( ( in @ SV58 @ SV1 )
= $false )
| ( ( ~ ( in @ SV58 @ SV58 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(986,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( in @ SV74 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV74 @ SV74 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(987,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( ~ ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK60_SY58 @ SV1 ) )
| ( SV75 = SY195 )
| ( in @ SV75 @ SY195 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(988,plain,
! [SV1: $i,SV59: $i] :
( ( ( in @ SV59 @ SV1 )
= $false )
| ( ( ~ ( in @ SV59 @ SV59 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(989,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( in @ SV76 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV76 @ SV76 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(990,plain,
! [SV1: $i,SV77: $i] :
( ( ( ~ ( ~ ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK61_SY58 @ SV1 ) )
| ( SV77 = SY196 )
| ( in @ SV77 @ SY196 ) ) ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(991,plain,
! [SV1: $i,SV60: $i] :
( ( ( in @ SV60 @ SV1 )
= $false )
| ( ( ~ ( in @ SV60 @ SV60 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(992,plain,
! [SV1: $i,SV78: $i] :
( ( ( ~ ( in @ SV78 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV78 @ SV78 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(993,plain,
! [SV1: $i,SV79: $i] :
( ( ( ~ ( ~ ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ ( sK62_SY58 @ SV1 ) )
| ( SV79 = SY197 )
| ( in @ SV79 @ SY197 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(994,plain,
! [SV1: $i,SV61: $i] :
( ( ( in @ SV61 @ SV1 )
= $false )
| ( ( ~ ( in @ SV61 @ SV61 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(995,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( in @ SV80 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV80 @ SV80 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(996,plain,
! [SV1: $i,SV81: $i] :
( ( ( ~ ( ~ ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK63_SY58 @ SV1 ) )
| ( SV81 = SY198 )
| ( in @ SV81 @ SY198 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(997,plain,
! [SV1: $i,SV48: $i] :
( ( ( in @ SV48 @ SV48 )
= $false )
| ( ( in @ SV48 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK52_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(998,plain,
! [SV1: $i,SV62: $i] :
( ( ( in @ SV62 @ SV1 )
= $false )
| ( ( ~ ( in @ SV62 @ SV62 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(999,plain,
! [SV1: $i,SV63: $i] :
( ( ( ~ ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ ( sK52_SY58 @ SV1 ) )
| ( SV63 = SY181 )
| ( in @ SV63 @ SY181 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(1000,plain,
! [SV1: $i,SV49: $i] :
( ( ( in @ SV49 @ SV49 )
= $false )
| ( ( in @ SV49 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(1001,plain,
! [SV1: $i,SV64: $i] :
( ( ( in @ SV64 @ SV1 )
= $false )
| ( ( ~ ( in @ SV64 @ SV64 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(1002,plain,
! [SV1: $i,SV65: $i] :
( ( ( ~ ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK53_SY58 @ SV1 ) )
| ( SV65 = SY182 )
| ( in @ SV65 @ SY182 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(1003,plain,
! [SV1: $i,SV50: $i] :
( ( ( in @ SV50 @ SV50 )
= $false )
| ( ( in @ SV50 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK54_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(1004,plain,
! [SV1: $i,SV66: $i] :
( ( ( in @ SV66 @ SV1 )
= $false )
| ( ( ~ ( in @ SV66 @ SV66 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(1005,plain,
! [SV1: $i,SV67: $i] :
( ( ( ~ ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ ( sK54_SY58 @ SV1 ) )
| ( SV67 = SY183 )
| ( in @ SV67 @ SY183 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(1006,plain,
! [SV1: $i,SV51: $i] :
( ( ( in @ SV51 @ SV51 )
= $false )
| ( ( in @ SV51 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(1007,plain,
! [SV1: $i,SV68: $i] :
( ( ( in @ SV68 @ SV1 )
= $false )
| ( ( ~ ( in @ SV68 @ SV68 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(1008,plain,
! [SV1: $i,SV69: $i] :
( ( ( ~ ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK55_SY58 @ SV1 ) )
| ( SV69 = SY184 )
| ( in @ SV69 @ SY184 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(1009,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( in @ SV82 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV82 @ SV82 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(1010,plain,
! [SV1: $i,SV90: $i] :
( ( ( ~ ( in @ SV90 @ SV1 )
| ~ ( in @ SV90 @ SV90 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1011,plain,
! [SV1: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ ( sK64_SY58 @ SV1 ) )
| ( SV91 = SY199 )
| ( in @ SV91 @ SY199 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(1012,plain,
! [SV1: $i,SV83: $i] :
( ( ( ~ ( in @ SV83 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV83 @ SV83 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(1013,plain,
! [SV1: $i,SV92: $i] :
( ( ( ~ ( in @ SV92 @ SV1 )
| ~ ( in @ SV92 @ SV92 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1014,plain,
! [SV1: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK65_SY58 @ SV1 ) )
| ( SV93 = SY200 )
| ( in @ SV93 @ SY200 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(1015,plain,
! [SV1: $i,SV94: $i] :
( ( ( ~ ( in @ SV94 @ SV1 )
| ~ ( in @ SV94 @ SV94 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(1016,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK76_SY58 @ SV1 ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(1017,plain,
! [SV1: $i] :
( ( ( ! [SY163: $i] :
~ ~ ( ~ ( in @ SY163 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ ( sK76_SY58 @ SV1 ) )
| ( SY163 = SY164 )
| ( in @ SY163 @ SY164 ) ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(1018,plain,
! [SV1: $i,SV95: $i] :
( ( ( ~ ( in @ SV95 @ SV1 )
| ~ ( in @ SV95 @ SV95 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(1019,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK77_SY58 @ SV1 ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(1020,plain,
! [SV1: $i] :
( ( ( ! [SY165: $i] :
~ ~ ( ~ ( in @ SY165 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ ( sK77_SY58 @ SV1 ) )
| ( SY165 = SY166 )
| ( in @ SY165 @ SY166 ) ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(1021,plain,
! [SV1: $i,SV96: $i] :
( ( ( ~ ( in @ SV96 @ SV1 )
| ~ ( in @ SV96 @ SV96 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(1022,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK78_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(1023,plain,
! [SV1: $i] :
( ( ( ! [SY167: $i] :
~ ~ ( ~ ( in @ SY167 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK78_SY58 @ SV1 ) )
| ( SY167 = SY168 )
| ( in @ SY167 @ SY168 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(1024,plain,
! [SV1: $i,SV97: $i] :
( ( ( ~ ( in @ SV97 @ SV1 )
| ~ ( in @ SV97 @ SV97 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(1025,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK79_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[901]) ).
thf(1026,plain,
! [SV1: $i] :
( ( ( ! [SY169: $i] :
~ ~ ( ~ ( in @ SY169 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK79_SY58 @ SV1 ) )
| ( SY169 = SY170 )
| ( in @ SY169 @ SY170 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[902]) ).
thf(1027,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV84 @ SV84 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(1028,plain,
! [SV1: $i,SV98: $i] :
( ( ( ~ ( in @ SV98 @ SV1 )
| ~ ( in @ SV98 @ SV98 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1029,plain,
! [SV1: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ ( sK66_SY58 @ SV1 ) )
| ( SV99 = SY201 )
| ( in @ SV99 @ SY201 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1030,plain,
! [SV1: $i,SV85: $i] :
( ( ( ~ ( in @ SV85 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV85 @ SV85 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(1031,plain,
! [SV1: $i,SV100: $i] :
( ( ( ~ ( in @ SV100 @ SV1 )
| ~ ( in @ SV100 @ SV100 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1032,plain,
! [SV1: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK67_SY58 @ SV1 ) )
| ( SV101 = SY202 )
| ( in @ SV101 @ SY202 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1033,plain,
! [SV1: $i] :
( ( ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(1034,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK88_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(1035,plain,
! [SV1: $i] :
( ( ( ~ ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK88_SY58 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(1036,plain,
! [SV1: $i] :
( ( ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(1037,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK89_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(1038,plain,
! [SV1: $i] :
( ( ( ~ ! [SY187: $i] :
~ ~ ( ~ ( in @ SY187 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK89_SY58 @ SV1 ) )
| ( SY187 = SY188 )
| ( in @ SY187 @ SY188 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(1039,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK94_SY58 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[913]) ).
thf(1040,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK95_SY58 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[914]) ).
thf(1041,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(1042,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1043,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1044,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(1045,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK96_SY58 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(1046,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK97_SY58 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[920]) ).
thf(1047,plain,
! [SV1: $i] :
( ( ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(1048,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK90_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(1049,plain,
! [SV1: $i] :
( ( ( ~ ! [SY189: $i] :
~ ~ ( ~ ( in @ SY189 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ ( sK90_SY58 @ SV1 ) )
| ( SY189 = SY190 )
| ( in @ SY189 @ SY190 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(1050,plain,
! [SV1: $i] :
( ( ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(1051,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK91_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(1052,plain,
! [SV1: $i] :
( ( ( ~ ! [SY191: $i] :
~ ~ ( ~ ( in @ SY191 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ ( sK91_SY58 @ SV1 ) )
| ( SY191 = SY192 )
| ( in @ SY191 @ SY192 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(1053,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK98_SY58 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[925]) ).
thf(1054,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY213: $i] :
~ ~ ( ~ ( in @ SY213 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY214: $i] :
( ~ ( in @ SY214 @ ( sK99_SY58 @ SV1 ) )
| ( SY213 = SY214 )
| ( in @ SY213 @ SY214 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[926]) ).
thf(1055,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(1056,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1057,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1058,plain,
! [SV1: $i] :
( ( ( ! [SY58: $i] :
( ~ ( in @ SY58 @ ( powerset @ SV1 ) )
| ~ ( nonempty @ SY58 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY58 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY58 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1059,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY215: $i] :
~ ~ ( ~ ( in @ SY215 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK100_SY58 @ SV1 ) )
| ( SY215 = SY216 )
| ( in @ SY215 @ SY216 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[931]) ).
thf(1060,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY217: $i] :
~ ~ ( ~ ( in @ SY217 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK101_SY58 @ SV1 ) )
| ( SY217 = SY218 )
| ( in @ SY217 @ SY218 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[932]) ).
thf(1061,plain,
! [SV1: $i,SV52: $i] :
( ( ( in @ SV52 @ SV52 )
= $false )
| ( ( in @ SV52 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1062,plain,
! [SV1: $i,SV70: $i] :
( ( ( in @ SV70 @ SV1 )
= $false )
| ( ( ~ ( in @ SV70 @ SV70 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(1063,plain,
! [SV1: $i,SV71: $i] :
( ( ( ~ ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK58_SY58 @ SV1 ) )
| ( SV71 = SY193 )
| ( in @ SV71 @ SY193 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1064,plain,
! [SV1: $i,SV53: $i] :
( ( ( in @ SV53 @ SV53 )
= $false )
| ( ( in @ SV53 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1065,plain,
! [SV1: $i,SV72: $i] :
( ( ( in @ SV72 @ SV1 )
= $false )
| ( ( ~ ( in @ SV72 @ SV72 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1066,plain,
! [SV1: $i,SV73: $i] :
( ( ( ~ ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK59_SY58 @ SV1 ) )
| ( SV73 = SY194 )
| ( in @ SV73 @ SY194 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(1067,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( in @ SV86 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV86 @ SV86 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1068,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( in @ SV102 @ SV1 )
| ~ ( in @ SV102 @ SV102 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1069,plain,
! [SV1: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ ( sK72_SY58 @ SV1 ) )
| ( SV103 = SY219 )
| ( in @ SV103 @ SY219 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1070,plain,
! [SV1: $i,SV87: $i] :
( ( ( ~ ( in @ SV87 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV87 @ SV87 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1071,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( in @ SV104 @ SV1 )
| ~ ( in @ SV104 @ SV104 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1072,plain,
! [SV1: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ ( sK73_SY58 @ SV1 ) )
| ( SV105 = SY220 )
| ( in @ SV105 @ SY220 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1073,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( in @ SV106 @ SV1 )
| ~ ( in @ SV106 @ SV106 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1074,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK84_SY58 @ SV1 ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1075,plain,
! [SV1: $i] :
( ( ( ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK84_SY58 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(1076,plain,
! [SV1: $i,SV107: $i] :
( ( ( ~ ( in @ SV107 @ SV1 )
| ~ ( in @ SV107 @ SV107 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1077,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK85_SY58 @ SV1 ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1078,plain,
! [SV1: $i] :
( ( ( ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK85_SY58 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(1079,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( in @ SV108 @ SV1 )
| ~ ( in @ SV108 @ SV108 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1080,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK86_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1081,plain,
! [SV1: $i] :
( ( ( ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK86_SY58 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(1082,plain,
! [SV1: $i,SV109: $i] :
( ( ( ~ ( in @ SV109 @ SV1 )
| ~ ( in @ SV109 @ SV109 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1083,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK87_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(1084,plain,
! [SV1: $i] :
( ( ( ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK87_SY58 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[956]) ).
thf(1085,plain,
! [SV1: $i,SV88: $i] :
( ( ( ~ ( in @ SV88 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV88 @ SV88 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1086,plain,
! [SV1: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV1 )
| ~ ( in @ SV110 @ SV110 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1087,plain,
! [SV1: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ ( sK74_SY58 @ SV1 ) )
| ( SV111 = SY221 )
| ( in @ SV111 @ SY221 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1088,plain,
! [SV1: $i,SV89: $i] :
( ( ( ~ ( in @ SV89 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV89 @ SV89 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(1089,plain,
! [SV1: $i,SV112: $i] :
( ( ( ~ ( in @ SV112 @ SV1 )
| ~ ( in @ SV112 @ SV112 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1090,plain,
! [SV1: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ ( sK75_SY58 @ SV1 ) )
| ( SV113 = SY222 )
| ( in @ SV113 @ SY222 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1091,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1092,plain,
! [SV1: $i,SV13: $i] :
( ( ( ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
| ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) ) )
= $false )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1093,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1094,plain,
! [SV1: $i,SV15: $i] :
( ( ( ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
| ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) ) )
= $false )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1095,plain,
! [SV23: $i,SV1: $i] :
( ( ( ! [SY137: $i] :
( ~ ( in @ SY137 @ ( sK30_SY58 @ SV1 ) )
| ( SV23 = SY137 )
| ( in @ SV23 @ SY137 ) ) )
= $false )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1096,plain,
! [SV25: $i,SV1: $i] :
( ( ( ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK31_SY58 @ SV1 ) )
| ( SV25 = SY138 )
| ( in @ SV25 @ SY138 ) ) )
= $false )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1097,plain,
! [SV1: $i,SV39: $i] :
( ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ ( sK42_SY58 @ SV1 ) )
| ( SV39 = SY159 )
| ( in @ SV39 @ SY159 ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1098,plain,
! [SV1: $i,SV41: $i] :
( ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK43_SY58 @ SV1 ) )
| ( SV41 = SY160 )
| ( in @ SV41 @ SY160 ) ) )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1099,plain,
! [SV1: $i,SV43: $i] :
( ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK44_SY58 @ SV1 ) )
| ( SV43 = SY161 )
| ( in @ SV43 @ SY161 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1100,plain,
! [SV1: $i,SV45: $i] :
( ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK45_SY58 @ SV1 ) )
| ( SV45 = SY162 )
| ( in @ SV45 @ SY162 ) ) )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1101,plain,
! [SV31: $i,SV1: $i] :
( ( ( ! [SY139: $i] :
( ~ ( in @ SY139 @ ( sK32_SY58 @ SV1 ) )
| ( SV31 = SY139 )
| ( in @ SV31 @ SY139 ) ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1102,plain,
! [SV33: $i,SV1: $i] :
( ( ( ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK33_SY58 @ SV1 ) )
| ( SV33 = SY140 )
| ( in @ SV33 @ SY140 ) ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1103,plain,
! [SV35: $i,SV1: $i] :
( ( ( ! [SY141: $i] :
( ~ ( in @ SY141 @ ( sK34_SY58 @ SV1 ) )
| ( SV35 = SY141 )
| ( in @ SV35 @ SY141 ) ) )
= $false )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1104,plain,
! [SV37: $i,SV1: $i] :
( ( ( ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK35_SY58 @ SV1 ) )
| ( SV37 = SY142 )
| ( in @ SV37 @ SY142 ) ) )
= $false )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1105,plain,
! [SV1: $i,SV54: $i] :
( ( ( in @ SV54 @ SV54 )
= $false )
| ( ( in @ SV54 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1106,plain,
! [SV1: $i,SV55: $i] :
( ( ( ~ ( in @ SV55 @ ( sK50_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ ( sK50_SY58 @ SV1 ) )
| ( SV55 = SY179 )
| ( in @ SV55 @ SY179 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1107,plain,
! [SV1: $i,SV56: $i] :
( ( ( in @ SV56 @ SV56 )
= $false )
| ( ( in @ SV56 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1108,plain,
! [SV1: $i,SV57: $i] :
( ( ( ~ ( in @ SV57 @ ( sK51_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK51_SY58 @ SV1 ) )
| ( SV57 = SY180 )
| ( in @ SV57 @ SY180 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1109,plain,
! [SV1: $i,SV58: $i] :
( ( ( in @ SV58 @ SV58 )
= $false )
| ( ( in @ SV58 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK60_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1110,plain,
! [SV1: $i,SV74: $i] :
( ( ( in @ SV74 @ SV1 )
= $false )
| ( ( ~ ( in @ SV74 @ SV74 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1111,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK60_SY58 @ SV1 ) )
| ( SV75 = SY195 )
| ( in @ SV75 @ SY195 ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1112,plain,
! [SV1: $i,SV59: $i] :
( ( ( in @ SV59 @ SV59 )
= $false )
| ( ( in @ SV59 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK61_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1113,plain,
! [SV1: $i,SV76: $i] :
( ( ( in @ SV76 @ SV1 )
= $false )
| ( ( ~ ( in @ SV76 @ SV76 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1114,plain,
! [SV1: $i,SV77: $i] :
( ( ( ~ ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
| ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK61_SY58 @ SV1 ) )
| ( SV77 = SY196 )
| ( in @ SV77 @ SY196 ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1115,plain,
! [SV1: $i,SV60: $i] :
( ( ( in @ SV60 @ SV60 )
= $false )
| ( ( in @ SV60 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1116,plain,
! [SV1: $i,SV78: $i] :
( ( ( in @ SV78 @ SV1 )
= $false )
| ( ( ~ ( in @ SV78 @ SV78 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1117,plain,
! [SV1: $i,SV79: $i] :
( ( ( ~ ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ ( sK62_SY58 @ SV1 ) )
| ( SV79 = SY197 )
| ( in @ SV79 @ SY197 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1118,plain,
! [SV1: $i,SV61: $i] :
( ( ( in @ SV61 @ SV61 )
= $false )
| ( ( in @ SV61 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1119,plain,
! [SV1: $i,SV80: $i] :
( ( ( in @ SV80 @ SV1 )
= $false )
| ( ( ~ ( in @ SV80 @ SV80 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1120,plain,
! [SV1: $i,SV81: $i] :
( ( ( ~ ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK63_SY58 @ SV1 ) )
| ( SV81 = SY198 )
| ( in @ SV81 @ SY198 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1121,plain,
! [SV1: $i,SV62: $i] :
( ( ( in @ SV62 @ SV62 )
= $false )
| ( ( in @ SV62 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1122,plain,
! [SV1: $i,SV63: $i] :
( ( ( ~ ( in @ SV63 @ ( sK52_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ ( sK52_SY58 @ SV1 ) )
| ( SV63 = SY181 )
| ( in @ SV63 @ SY181 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1123,plain,
! [SV1: $i,SV64: $i] :
( ( ( in @ SV64 @ SV64 )
= $false )
| ( ( in @ SV64 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1124,plain,
! [SV1: $i,SV65: $i] :
( ( ( ~ ( in @ SV65 @ ( sK53_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK53_SY58 @ SV1 ) )
| ( SV65 = SY182 )
| ( in @ SV65 @ SY182 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1125,plain,
! [SV1: $i,SV66: $i] :
( ( ( in @ SV66 @ SV66 )
= $false )
| ( ( in @ SV66 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1126,plain,
! [SV1: $i,SV67: $i] :
( ( ( ~ ( in @ SV67 @ ( sK54_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ ( sK54_SY58 @ SV1 ) )
| ( SV67 = SY183 )
| ( in @ SV67 @ SY183 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1127,plain,
! [SV1: $i,SV68: $i] :
( ( ( in @ SV68 @ SV68 )
= $false )
| ( ( in @ SV68 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1128,plain,
! [SV1: $i,SV69: $i] :
( ( ( ~ ( in @ SV69 @ ( sK55_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK55_SY58 @ SV1 ) )
| ( SV69 = SY184 )
| ( in @ SV69 @ SY184 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1129,plain,
! [SV1: $i,SV82: $i] :
( ( ( in @ SV82 @ SV1 )
= $false )
| ( ( ~ ( in @ SV82 @ SV82 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1130,plain,
! [SV1: $i,SV90: $i] :
( ( ( ~ ( in @ SV90 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV90 @ SV90 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1131,plain,
! [SV1: $i,SV91: $i] :
( ( ( ~ ( ~ ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ ( sK64_SY58 @ SV1 ) )
| ( SV91 = SY199 )
| ( in @ SV91 @ SY199 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1132,plain,
! [SV1: $i,SV83: $i] :
( ( ( in @ SV83 @ SV1 )
= $false )
| ( ( ~ ( in @ SV83 @ SV83 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1133,plain,
! [SV1: $i,SV92: $i] :
( ( ( ~ ( in @ SV92 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV92 @ SV92 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1134,plain,
! [SV1: $i,SV93: $i] :
( ( ( ~ ( ~ ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK65_SY58 @ SV1 ) )
| ( SV93 = SY200 )
| ( in @ SV93 @ SY200 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1135,plain,
! [SV1: $i,SV94: $i] :
( ( ( ~ ( in @ SV94 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV94 @ SV94 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1136,plain,
! [SV1: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ SV1 )
| ~ ( in @ SV114 @ SV114 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1137,plain,
! [SV1: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ ( sK76_SY58 @ SV1 ) )
| ( SV115 = SY223 )
| ( in @ SV115 @ SY223 ) ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1138,plain,
! [SV1: $i,SV95: $i] :
( ( ( ~ ( in @ SV95 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV95 @ SV95 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1139,plain,
! [SV1: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV1 )
| ~ ( in @ SV116 @ SV116 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1140,plain,
! [SV1: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ ( sK77_SY58 @ SV1 ) )
| ( SV117 = SY224 )
| ( in @ SV117 @ SY224 ) ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1141,plain,
! [SV1: $i,SV96: $i] :
( ( ( ~ ( in @ SV96 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV96 @ SV96 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1142,plain,
! [SV1: $i,SV118: $i] :
( ( ( ~ ( in @ SV118 @ SV1 )
| ~ ( in @ SV118 @ SV118 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1143,plain,
! [SV1: $i,SV119: $i] :
( ( ( ~ ~ ( ~ ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ ( sK78_SY58 @ SV1 ) )
| ( SV119 = SY225 )
| ( in @ SV119 @ SY225 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1144,plain,
! [SV1: $i,SV97: $i] :
( ( ( ~ ( in @ SV97 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV97 @ SV97 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1145,plain,
! [SV1: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV1 )
| ~ ( in @ SV120 @ SV120 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1146,plain,
! [SV1: $i,SV121: $i] :
( ( ( ~ ~ ( ~ ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ ( sK79_SY58 @ SV1 ) )
| ( SV121 = SY226 )
| ( in @ SV121 @ SY226 ) ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1147,plain,
! [SV1: $i,SV84: $i] :
( ( ( in @ SV84 @ SV1 )
= $false )
| ( ( ~ ( in @ SV84 @ SV84 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1148,plain,
! [SV1: $i,SV98: $i] :
( ( ( ~ ( in @ SV98 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV98 @ SV98 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1149,plain,
! [SV1: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ ( sK66_SY58 @ SV1 ) )
| ( SV99 = SY201 )
| ( in @ SV99 @ SY201 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1150,plain,
! [SV1: $i,SV85: $i] :
( ( ( in @ SV85 @ SV1 )
= $false )
| ( ( ~ ( in @ SV85 @ SV85 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1151,plain,
! [SV1: $i,SV100: $i] :
( ( ( ~ ( in @ SV100 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV100 @ SV100 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1152,plain,
! [SV1: $i,SV101: $i] :
( ( ( ~ ( ~ ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK67_SY58 @ SV1 ) )
| ( SV101 = SY202 )
| ( in @ SV101 @ SY202 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1153,plain,
! [SV1: $i,SV122: $i] :
( ( ( ~ ( in @ SV122 @ SV1 )
| ~ ( in @ SV122 @ SV122 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1154,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK88_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1155,plain,
! [SV1: $i] :
( ( ( ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK88_SY58 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1156,plain,
! [SV1: $i,SV123: $i] :
( ( ( ~ ( in @ SV123 @ SV1 )
| ~ ( in @ SV123 @ SV123 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1157,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK89_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1158,plain,
! [SV1: $i] :
( ( ( ! [SY187: $i] :
~ ~ ( ~ ( in @ SY187 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK89_SY58 @ SV1 ) )
| ( SY187 = SY188 )
| ( in @ SY187 @ SY188 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1159,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1039]) ).
thf(1160,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK94_SY58 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1039]) ).
thf(1161,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1162,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK95_SY58 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1163,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY227: $i] :
~ ~ ( ~ ( in @ SY227 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY228: $i] :
( ~ ( in @ SY228 @ ( sK102_SY58 @ SV1 ) )
| ( SY227 = SY228 )
| ( in @ SY227 @ SY228 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1041]) ).
thf(1164,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK103_SY58 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1042]) ).
thf(1165,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK104_SY58 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1043]) ).
thf(1166,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK105_SY58 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1044]) ).
thf(1167,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1168,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK96_SY58 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1169,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1170,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK97_SY58 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1171,plain,
! [SV1: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ SV1 )
| ~ ( in @ SV124 @ SV124 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1172,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK90_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1173,plain,
! [SV1: $i] :
( ( ( ! [SY189: $i] :
~ ~ ( ~ ( in @ SY189 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ ( sK90_SY58 @ SV1 ) )
| ( SY189 = SY190 )
| ( in @ SY189 @ SY190 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1174,plain,
! [SV1: $i,SV125: $i] :
( ( ( ~ ( in @ SV125 @ SV1 )
| ~ ( in @ SV125 @ SV125 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1175,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK91_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1176,plain,
! [SV1: $i] :
( ( ( ! [SY191: $i] :
~ ~ ( ~ ( in @ SY191 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ ( sK91_SY58 @ SV1 ) )
| ( SY191 = SY192 )
| ( in @ SY191 @ SY192 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1177,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1178,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK98_SY58 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1179,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1180,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY213: $i] :
~ ~ ( ~ ( in @ SY213 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY214: $i] :
( ~ ( in @ SY214 @ ( sK99_SY58 @ SV1 ) )
| ( SY213 = SY214 )
| ( in @ SY213 @ SY214 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1181,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK106_SY58 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1055]) ).
thf(1182,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY237: $i] :
~ ~ ( ~ ( in @ SY237 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ ( sK107_SY58 @ SV1 ) )
| ( SY237 = SY238 )
| ( in @ SY237 @ SY238 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1056]) ).
thf(1183,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK108_SY58 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1057]) ).
thf(1184,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( nonempty @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK109_SY58 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1058]) ).
thf(1185,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1186,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY215: $i] :
~ ~ ( ~ ( in @ SY215 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK100_SY58 @ SV1 ) )
| ( SY215 = SY216 )
| ( in @ SY215 @ SY216 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1187,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1188,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY217: $i] :
~ ~ ( ~ ( in @ SY217 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK101_SY58 @ SV1 ) )
| ( SY217 = SY218 )
| ( in @ SY217 @ SY218 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1189,plain,
! [SV1: $i,SV70: $i] :
( ( ( in @ SV70 @ SV70 )
= $false )
| ( ( in @ SV70 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1190,plain,
! [SV1: $i,SV71: $i] :
( ( ( ~ ( in @ SV71 @ ( sK58_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK58_SY58 @ SV1 ) )
| ( SV71 = SY193 )
| ( in @ SV71 @ SY193 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1191,plain,
! [SV1: $i,SV72: $i] :
( ( ( in @ SV72 @ SV72 )
= $false )
| ( ( in @ SV72 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1192,plain,
! [SV1: $i,SV73: $i] :
( ( ( ~ ( in @ SV73 @ ( sK59_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK59_SY58 @ SV1 ) )
| ( SV73 = SY194 )
| ( in @ SV73 @ SY194 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1193,plain,
! [SV1: $i,SV86: $i] :
( ( ( in @ SV86 @ SV1 )
= $false )
| ( ( ~ ( in @ SV86 @ SV86 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1194,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( in @ SV102 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV102 @ SV102 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1195,plain,
! [SV1: $i,SV103: $i] :
( ( ( ~ ( ~ ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ ( sK72_SY58 @ SV1 ) )
| ( SV103 = SY219 )
| ( in @ SV103 @ SY219 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1196,plain,
! [SV1: $i,SV87: $i] :
( ( ( in @ SV87 @ SV1 )
= $false )
| ( ( ~ ( in @ SV87 @ SV87 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1197,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( in @ SV104 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV104 @ SV104 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1198,plain,
! [SV1: $i,SV105: $i] :
( ( ( ~ ( ~ ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ ( sK73_SY58 @ SV1 ) )
| ( SV105 = SY220 )
| ( in @ SV105 @ SY220 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1199,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( in @ SV106 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV106 @ SV106 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1200,plain,
! [SV1: $i,SV126: $i] :
( ( ( ~ ( in @ SV126 @ SV1 )
| ~ ( in @ SV126 @ SV126 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1201,plain,
! [SV1: $i,SV127: $i] :
( ( ( ~ ~ ( ~ ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ ( sK84_SY58 @ SV1 ) )
| ( SV127 = SY243 )
| ( in @ SV127 @ SY243 ) ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1202,plain,
! [SV1: $i,SV107: $i] :
( ( ( ~ ( in @ SV107 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV107 @ SV107 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1203,plain,
! [SV1: $i,SV128: $i] :
( ( ( ~ ( in @ SV128 @ SV1 )
| ~ ( in @ SV128 @ SV128 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1204,plain,
! [SV1: $i,SV129: $i] :
( ( ( ~ ~ ( ~ ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK85_SY58 @ SV1 ) )
| ( SV129 = SY244 )
| ( in @ SV129 @ SY244 ) ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1205,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( in @ SV108 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV108 @ SV108 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1206,plain,
! [SV1: $i,SV130: $i] :
( ( ( ~ ( in @ SV130 @ SV1 )
| ~ ( in @ SV130 @ SV130 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1207,plain,
! [SV1: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ ( sK86_SY58 @ SV1 ) )
| ( SV131 = SY245 )
| ( in @ SV131 @ SY245 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1208,plain,
! [SV1: $i,SV109: $i] :
( ( ( ~ ( in @ SV109 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV109 @ SV109 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1209,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( in @ SV132 @ SV1 )
| ~ ( in @ SV132 @ SV132 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1210,plain,
! [SV1: $i,SV133: $i] :
( ( ( ~ ~ ( ~ ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK87_SY58 @ SV1 ) )
| ( SV133 = SY246 )
| ( in @ SV133 @ SY246 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1211,plain,
! [SV1: $i,SV88: $i] :
( ( ( in @ SV88 @ SV1 )
= $false )
| ( ( ~ ( in @ SV88 @ SV88 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1212,plain,
! [SV1: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV110 @ SV110 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1213,plain,
! [SV1: $i,SV111: $i] :
( ( ( ~ ( ~ ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ ( sK74_SY58 @ SV1 ) )
| ( SV111 = SY221 )
| ( in @ SV111 @ SY221 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1214,plain,
! [SV1: $i,SV89: $i] :
( ( ( in @ SV89 @ SV1 )
= $false )
| ( ( ~ ( in @ SV89 @ SV89 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1215,plain,
! [SV1: $i,SV112: $i] :
( ( ( ~ ( in @ SV112 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV112 @ SV112 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1216,plain,
! [SV1: $i,SV113: $i] :
( ( ( ~ ( ~ ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ ( sK75_SY58 @ SV1 ) )
| ( SV113 = SY222 )
| ( in @ SV113 @ SY222 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1217,plain,
! [SV1: $i,SV13: $i] :
( ( ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1218,plain,
! [SV1: $i,SV13: $i] :
( ( ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
= $false )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1219,plain,
! [SV1: $i,SV13: $i] :
( ( ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) )
= $false )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1220,plain,
! [SV1: $i,SV15: $i] :
( ( ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1221,plain,
! [SV1: $i,SV15: $i] :
( ( ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
= $false )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1222,plain,
! [SV1: $i,SV15: $i] :
( ( ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) )
= $false )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1223,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) )
| ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
| ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) ) )
= $false )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1095]) ).
thf(1224,plain,
! [SV1: $i,SV25: $i] :
( ( ( ~ ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) )
| ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
| ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) ) )
= $false )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1096]) ).
thf(1225,plain,
! [SV39: $i,SV1: $i] :
( ( ( ! [SY159: $i] :
( ~ ( in @ SY159 @ ( sK42_SY58 @ SV1 ) )
| ( SV39 = SY159 )
| ( in @ SV39 @ SY159 ) ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1226,plain,
! [SV41: $i,SV1: $i] :
( ( ( ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK43_SY58 @ SV1 ) )
| ( SV41 = SY160 )
| ( in @ SV41 @ SY160 ) ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1227,plain,
! [SV43: $i,SV1: $i] :
( ( ( ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK44_SY58 @ SV1 ) )
| ( SV43 = SY161 )
| ( in @ SV43 @ SY161 ) ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1228,plain,
! [SV45: $i,SV1: $i] :
( ( ( ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK45_SY58 @ SV1 ) )
| ( SV45 = SY162 )
| ( in @ SV45 @ SY162 ) ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1229,plain,
! [SV1: $i,SV31: $i] :
( ( ( ~ ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) )
| ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
| ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1101]) ).
thf(1230,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) )
| ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
| ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1102]) ).
thf(1231,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) )
| ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
| ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) ) )
= $false )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1103]) ).
thf(1232,plain,
! [SV1: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) )
| ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
| ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) ) )
= $false )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1104]) ).
thf(1233,plain,
! [SV1: $i,SV55: $i] :
( ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ ( sK50_SY58 @ SV1 ) )
| ( SV55 = SY179 )
| ( in @ SV55 @ SY179 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1234,plain,
! [SV1: $i,SV57: $i] :
( ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK51_SY58 @ SV1 ) )
| ( SV57 = SY180 )
| ( in @ SV57 @ SY180 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1235,plain,
! [SV1: $i,SV74: $i] :
( ( ( in @ SV74 @ SV74 )
= $false )
| ( ( in @ SV74 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1236,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ ( sK60_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK60_SY58 @ SV1 ) )
| ( SV75 = SY195 )
| ( in @ SV75 @ SY195 ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1237,plain,
! [SV1: $i,SV76: $i] :
( ( ( in @ SV76 @ SV76 )
= $false )
| ( ( in @ SV76 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1238,plain,
! [SV1: $i,SV77: $i] :
( ( ( ~ ( in @ SV77 @ ( sK61_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK61_SY58 @ SV1 ) )
| ( SV77 = SY196 )
| ( in @ SV77 @ SY196 ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1239,plain,
! [SV1: $i,SV78: $i] :
( ( ( in @ SV78 @ SV78 )
= $false )
| ( ( in @ SV78 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1240,plain,
! [SV1: $i,SV79: $i] :
( ( ( ~ ( in @ SV79 @ ( sK62_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ ( sK62_SY58 @ SV1 ) )
| ( SV79 = SY197 )
| ( in @ SV79 @ SY197 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1241,plain,
! [SV1: $i,SV80: $i] :
( ( ( in @ SV80 @ SV80 )
= $false )
| ( ( in @ SV80 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1242,plain,
! [SV1: $i,SV81: $i] :
( ( ( ~ ( in @ SV81 @ ( sK63_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK63_SY58 @ SV1 ) )
| ( SV81 = SY198 )
| ( in @ SV81 @ SY198 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1243,plain,
! [SV1: $i,SV63: $i] :
( ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ ( sK52_SY58 @ SV1 ) )
| ( SV63 = SY181 )
| ( in @ SV63 @ SY181 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1244,plain,
! [SV1: $i,SV65: $i] :
( ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK53_SY58 @ SV1 ) )
| ( SV65 = SY182 )
| ( in @ SV65 @ SY182 ) ) )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1245,plain,
! [SV1: $i,SV67: $i] :
( ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ ( sK54_SY58 @ SV1 ) )
| ( SV67 = SY183 )
| ( in @ SV67 @ SY183 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1246,plain,
! [SV1: $i,SV69: $i] :
( ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK55_SY58 @ SV1 ) )
| ( SV69 = SY184 )
| ( in @ SV69 @ SY184 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1247,plain,
! [SV1: $i,SV82: $i] :
( ( ( in @ SV82 @ SV82 )
= $false )
| ( ( in @ SV82 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1248,plain,
! [SV1: $i,SV90: $i] :
( ( ( in @ SV90 @ SV1 )
= $false )
| ( ( ~ ( in @ SV90 @ SV90 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1249,plain,
! [SV1: $i,SV91: $i] :
( ( ( ~ ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ ( sK64_SY58 @ SV1 ) )
| ( SV91 = SY199 )
| ( in @ SV91 @ SY199 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1250,plain,
! [SV1: $i,SV83: $i] :
( ( ( in @ SV83 @ SV83 )
= $false )
| ( ( in @ SV83 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1251,plain,
! [SV1: $i,SV92: $i] :
( ( ( in @ SV92 @ SV1 )
= $false )
| ( ( ~ ( in @ SV92 @ SV92 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1252,plain,
! [SV1: $i,SV93: $i] :
( ( ( ~ ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK65_SY58 @ SV1 ) )
| ( SV93 = SY200 )
| ( in @ SV93 @ SY200 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1253,plain,
! [SV1: $i,SV94: $i] :
( ( ( in @ SV94 @ SV1 )
= $false )
| ( ( ~ ( in @ SV94 @ SV94 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1254,plain,
! [SV1: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV114 @ SV114 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1255,plain,
! [SV1: $i,SV115: $i] :
( ( ( ~ ( ~ ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ ( sK76_SY58 @ SV1 ) )
| ( SV115 = SY223 )
| ( in @ SV115 @ SY223 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1256,plain,
! [SV1: $i,SV95: $i] :
( ( ( in @ SV95 @ SV1 )
= $false )
| ( ( ~ ( in @ SV95 @ SV95 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1257,plain,
! [SV1: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV116 @ SV116 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1258,plain,
! [SV1: $i,SV117: $i] :
( ( ( ~ ( ~ ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ ( sK77_SY58 @ SV1 ) )
| ( SV117 = SY224 )
| ( in @ SV117 @ SY224 ) ) ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1259,plain,
! [SV1: $i,SV96: $i] :
( ( ( in @ SV96 @ SV1 )
= $false )
| ( ( ~ ( in @ SV96 @ SV96 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1260,plain,
! [SV1: $i,SV118: $i] :
( ( ( ~ ( in @ SV118 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV118 @ SV118 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1261,plain,
! [SV1: $i,SV119: $i] :
( ( ( ~ ( ~ ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ ( sK78_SY58 @ SV1 ) )
| ( SV119 = SY225 )
| ( in @ SV119 @ SY225 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1262,plain,
! [SV1: $i,SV97: $i] :
( ( ( in @ SV97 @ SV1 )
= $false )
| ( ( ~ ( in @ SV97 @ SV97 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1263,plain,
! [SV1: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV120 @ SV120 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1264,plain,
! [SV1: $i,SV121: $i] :
( ( ( ~ ( ~ ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ ( sK79_SY58 @ SV1 ) )
| ( SV121 = SY226 )
| ( in @ SV121 @ SY226 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1265,plain,
! [SV1: $i,SV84: $i] :
( ( ( in @ SV84 @ SV84 )
= $false )
| ( ( in @ SV84 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK66_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1266,plain,
! [SV1: $i,SV98: $i] :
( ( ( in @ SV98 @ SV1 )
= $false )
| ( ( ~ ( in @ SV98 @ SV98 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1267,plain,
! [SV1: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ ( sK66_SY58 @ SV1 ) )
| ( SV99 = SY201 )
| ( in @ SV99 @ SY201 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1268,plain,
! [SV1: $i,SV85: $i] :
( ( ( in @ SV85 @ SV85 )
= $false )
| ( ( in @ SV85 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK67_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1269,plain,
! [SV1: $i,SV100: $i] :
( ( ( in @ SV100 @ SV1 )
= $false )
| ( ( ~ ( in @ SV100 @ SV100 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1270,plain,
! [SV1: $i,SV101: $i] :
( ( ( ~ ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK67_SY58 @ SV1 ) )
| ( SV101 = SY202 )
| ( in @ SV101 @ SY202 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1271,plain,
! [SV1: $i,SV122: $i] :
( ( ( ~ ( in @ SV122 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV122 @ SV122 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1272,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( in @ SV134 @ SV1 )
| ~ ( in @ SV134 @ SV134 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1273,plain,
! [SV1: $i,SV135: $i] :
( ( ( ~ ~ ( ~ ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ ( sK88_SY58 @ SV1 ) )
| ( SV135 = SY247 )
| ( in @ SV135 @ SY247 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1274,plain,
! [SV1: $i,SV123: $i] :
( ( ( ~ ( in @ SV123 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV123 @ SV123 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1275,plain,
! [SV1: $i,SV136: $i] :
( ( ( ~ ( in @ SV136 @ SV1 )
| ~ ( in @ SV136 @ SV136 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1276,plain,
! [SV1: $i,SV137: $i] :
( ( ( ~ ~ ( ~ ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY248: $i] :
( ~ ( in @ SY248 @ ( sK89_SY58 @ SV1 ) )
| ( SV137 = SY248 )
| ( in @ SV137 @ SY248 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1277,plain,
! [SV1: $i] :
( ( ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1278,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK94_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1160]) ).
thf(1279,plain,
! [SV1: $i] :
( ( ( ~ ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK94_SY58 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1160]) ).
thf(1280,plain,
! [SV1: $i] :
( ( ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1281,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK95_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1282,plain,
! [SV1: $i] :
( ( ( ~ ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK95_SY58 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1283,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1284,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY227: $i] :
~ ~ ( ~ ( in @ SY227 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY228: $i] :
( ~ ( in @ SY228 @ ( sK102_SY58 @ SV1 ) )
| ( SY227 = SY228 )
| ( in @ SY227 @ SY228 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1285,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1286,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK103_SY58 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1287,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1288,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK104_SY58 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1289,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1290,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK105_SY58 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1291,plain,
! [SV1: $i] :
( ( ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1292,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK96_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1293,plain,
! [SV1: $i] :
( ( ( ~ ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK96_SY58 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1294,plain,
! [SV1: $i] :
( ( ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1295,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK97_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1296,plain,
! [SV1: $i] :
( ( ( ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK97_SY58 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1297,plain,
! [SV1: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV124 @ SV124 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1298,plain,
! [SV1: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV1 )
| ~ ( in @ SV138 @ SV138 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1299,plain,
! [SV1: $i,SV139: $i] :
( ( ( ~ ~ ( ~ ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK90_SY58 @ SV1 ) )
| ( SV139 = SY249 )
| ( in @ SV139 @ SY249 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1300,plain,
! [SV1: $i,SV125: $i] :
( ( ( ~ ( in @ SV125 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV125 @ SV125 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1301,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( in @ SV140 @ SV1 )
| ~ ( in @ SV140 @ SV140 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1302,plain,
! [SV1: $i,SV141: $i] :
( ( ( ~ ~ ( ~ ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK91_SY58 @ SV1 ) )
| ( SV141 = SY250 )
| ( in @ SV141 @ SY250 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1303,plain,
! [SV1: $i] :
( ( ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1304,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK98_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1305,plain,
! [SV1: $i] :
( ( ( ~ ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK98_SY58 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1306,plain,
! [SV1: $i] :
( ( ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1307,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK99_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1308,plain,
! [SV1: $i] :
( ( ( ~ ! [SY213: $i] :
~ ~ ( ~ ( in @ SY213 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY214: $i] :
( ~ ( in @ SY214 @ ( sK99_SY58 @ SV1 ) )
| ( SY213 = SY214 )
| ( in @ SY213 @ SY214 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1309,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1310,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK106_SY58 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1311,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1312,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY237: $i] :
~ ~ ( ~ ( in @ SY237 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ ( sK107_SY58 @ SV1 ) )
| ( SY237 = SY238 )
| ( in @ SY237 @ SY238 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1313,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1314,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK108_SY58 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1315,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1316,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK109_SY58 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1317,plain,
! [SV1: $i] :
( ( ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1318,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK100_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1319,plain,
! [SV1: $i] :
( ( ( ~ ! [SY215: $i] :
~ ~ ( ~ ( in @ SY215 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK100_SY58 @ SV1 ) )
| ( SY215 = SY216 )
| ( in @ SY215 @ SY216 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1320,plain,
! [SV1: $i] :
( ( ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1321,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK101_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1322,plain,
! [SV1: $i] :
( ( ( ~ ! [SY217: $i] :
~ ~ ( ~ ( in @ SY217 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK101_SY58 @ SV1 ) )
| ( SY217 = SY218 )
| ( in @ SY217 @ SY218 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1323,plain,
! [SV1: $i,SV71: $i] :
( ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK58_SY58 @ SV1 ) )
| ( SV71 = SY193 )
| ( in @ SV71 @ SY193 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1324,plain,
! [SV1: $i,SV73: $i] :
( ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK59_SY58 @ SV1 ) )
| ( SV73 = SY194 )
| ( in @ SV73 @ SY194 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1325,plain,
! [SV1: $i,SV86: $i] :
( ( ( in @ SV86 @ SV86 )
= $false )
| ( ( in @ SV86 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1326,plain,
! [SV1: $i,SV102: $i] :
( ( ( in @ SV102 @ SV1 )
= $false )
| ( ( ~ ( in @ SV102 @ SV102 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1327,plain,
! [SV1: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
| ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ ( sK72_SY58 @ SV1 ) )
| ( SV103 = SY219 )
| ( in @ SV103 @ SY219 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1328,plain,
! [SV1: $i,SV87: $i] :
( ( ( in @ SV87 @ SV87 )
= $false )
| ( ( in @ SV87 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1329,plain,
! [SV1: $i,SV104: $i] :
( ( ( in @ SV104 @ SV1 )
= $false )
| ( ( ~ ( in @ SV104 @ SV104 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1330,plain,
! [SV1: $i,SV105: $i] :
( ( ( ~ ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
| ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ ( sK73_SY58 @ SV1 ) )
| ( SV105 = SY220 )
| ( in @ SV105 @ SY220 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1331,plain,
! [SV1: $i,SV106: $i] :
( ( ( in @ SV106 @ SV1 )
= $false )
| ( ( ~ ( in @ SV106 @ SV106 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1332,plain,
! [SV1: $i,SV126: $i] :
( ( ( ~ ( in @ SV126 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV126 @ SV126 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1333,plain,
! [SV1: $i,SV127: $i] :
( ( ( ~ ( ~ ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ ( sK84_SY58 @ SV1 ) )
| ( SV127 = SY243 )
| ( in @ SV127 @ SY243 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1334,plain,
! [SV1: $i,SV107: $i] :
( ( ( in @ SV107 @ SV1 )
= $false )
| ( ( ~ ( in @ SV107 @ SV107 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1335,plain,
! [SV1: $i,SV128: $i] :
( ( ( ~ ( in @ SV128 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV128 @ SV128 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1336,plain,
! [SV1: $i,SV129: $i] :
( ( ( ~ ( ~ ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK85_SY58 @ SV1 ) )
| ( SV129 = SY244 )
| ( in @ SV129 @ SY244 ) ) ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1337,plain,
! [SV1: $i,SV108: $i] :
( ( ( in @ SV108 @ SV1 )
= $false )
| ( ( ~ ( in @ SV108 @ SV108 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1338,plain,
! [SV1: $i,SV130: $i] :
( ( ( ~ ( in @ SV130 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV130 @ SV130 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1339,plain,
! [SV1: $i,SV131: $i] :
( ( ( ~ ( ~ ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ ( sK86_SY58 @ SV1 ) )
| ( SV131 = SY245 )
| ( in @ SV131 @ SY245 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1340,plain,
! [SV1: $i,SV109: $i] :
( ( ( in @ SV109 @ SV1 )
= $false )
| ( ( ~ ( in @ SV109 @ SV109 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1341,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( in @ SV132 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV132 @ SV132 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1342,plain,
! [SV1: $i,SV133: $i] :
( ( ( ~ ( ~ ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK87_SY58 @ SV1 ) )
| ( SV133 = SY246 )
| ( in @ SV133 @ SY246 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1343,plain,
! [SV1: $i,SV88: $i] :
( ( ( in @ SV88 @ SV88 )
= $false )
| ( ( in @ SV88 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1344,plain,
! [SV1: $i,SV110: $i] :
( ( ( in @ SV110 @ SV1 )
= $false )
| ( ( ~ ( in @ SV110 @ SV110 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1345,plain,
! [SV1: $i,SV111: $i] :
( ( ( ~ ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
| ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ ( sK74_SY58 @ SV1 ) )
| ( SV111 = SY221 )
| ( in @ SV111 @ SY221 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1346,plain,
! [SV1: $i,SV89: $i] :
( ( ( in @ SV89 @ SV89 )
= $false )
| ( ( in @ SV89 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1347,plain,
! [SV1: $i,SV112: $i] :
( ( ( in @ SV112 @ SV1 )
= $false )
| ( ( ~ ( in @ SV112 @ SV112 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1348,plain,
! [SV1: $i,SV113: $i] :
( ( ( ~ ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
| ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ ( sK75_SY58 @ SV1 ) )
| ( SV113 = SY222 )
| ( in @ SV113 @ SY222 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1349,plain,
! [SV13: $i,SV1: $i,SV142: $i] :
( ( ( ~ ( in @ SV142 @ SV1 )
| ~ ( in @ SV142 @ SV142 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1350,plain,
! [SV13: $i,SV1: $i,SV143: $i] :
( ( ( ~ ( in @ SV143 @ SV1 )
| ~ ( in @ SV143 @ SV143 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1351,plain,
! [SV13: $i,SV1: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ SV1 )
| ~ ( in @ SV144 @ SV144 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1352,plain,
! [SV15: $i,SV1: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV1 )
| ~ ( in @ SV145 @ SV145 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1353,plain,
! [SV15: $i,SV1: $i,SV146: $i] :
( ( ( ~ ( in @ SV146 @ SV1 )
| ~ ( in @ SV146 @ SV146 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1354,plain,
! [SV15: $i,SV1: $i,SV147: $i] :
( ( ( ~ ( in @ SV147 @ SV1 )
| ~ ( in @ SV147 @ SV147 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1355,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1356,plain,
! [SV1: $i,SV23: $i] :
( ( ( ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
| ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) ) )
= $false )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1357,plain,
! [SV1: $i,SV25: $i] :
( ( ( ~ ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1358,plain,
! [SV1: $i,SV25: $i] :
( ( ( ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
| ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) ) )
= $false )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1359,plain,
! [SV1: $i,SV39: $i] :
( ( ( ~ ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) )
| ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
| ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1225]) ).
thf(1360,plain,
! [SV1: $i,SV41: $i] :
( ( ( ~ ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) )
| ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
| ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1226]) ).
thf(1361,plain,
! [SV1: $i,SV43: $i] :
( ( ( ~ ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) )
| ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
| ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1227]) ).
thf(1362,plain,
! [SV1: $i,SV45: $i] :
( ( ( ~ ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) )
| ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
| ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1228]) ).
thf(1363,plain,
! [SV1: $i,SV31: $i] :
( ( ( ~ ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1364,plain,
! [SV1: $i,SV31: $i] :
( ( ( ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
| ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1365,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1366,plain,
! [SV1: $i,SV33: $i] :
( ( ( ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
| ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1367,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1368,plain,
! [SV1: $i,SV35: $i] :
( ( ( ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
| ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) ) )
= $false )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1369,plain,
! [SV1: $i,SV37: $i] :
( ( ( ~ ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1370,plain,
! [SV1: $i,SV37: $i] :
( ( ( ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
| ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) ) )
= $false )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1371,plain,
! [SV55: $i,SV1: $i] :
( ( ( ! [SY179: $i] :
( ~ ( in @ SY179 @ ( sK50_SY58 @ SV1 ) )
| ( SV55 = SY179 )
| ( in @ SV55 @ SY179 ) ) )
= $false )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1372,plain,
! [SV57: $i,SV1: $i] :
( ( ( ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK51_SY58 @ SV1 ) )
| ( SV57 = SY180 )
| ( in @ SV57 @ SY180 ) ) )
= $false )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1373,plain,
! [SV1: $i,SV75: $i] :
( ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK60_SY58 @ SV1 ) )
| ( SV75 = SY195 )
| ( in @ SV75 @ SY195 ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1374,plain,
! [SV1: $i,SV77: $i] :
( ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK61_SY58 @ SV1 ) )
| ( SV77 = SY196 )
| ( in @ SV77 @ SY196 ) ) )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1375,plain,
! [SV1: $i,SV79: $i] :
( ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ ( sK62_SY58 @ SV1 ) )
| ( SV79 = SY197 )
| ( in @ SV79 @ SY197 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1376,plain,
! [SV1: $i,SV81: $i] :
( ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK63_SY58 @ SV1 ) )
| ( SV81 = SY198 )
| ( in @ SV81 @ SY198 ) ) )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1377,plain,
! [SV63: $i,SV1: $i] :
( ( ( ! [SY181: $i] :
( ~ ( in @ SY181 @ ( sK52_SY58 @ SV1 ) )
| ( SV63 = SY181 )
| ( in @ SV63 @ SY181 ) ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1378,plain,
! [SV65: $i,SV1: $i] :
( ( ( ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK53_SY58 @ SV1 ) )
| ( SV65 = SY182 )
| ( in @ SV65 @ SY182 ) ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1379,plain,
! [SV67: $i,SV1: $i] :
( ( ( ! [SY183: $i] :
( ~ ( in @ SY183 @ ( sK54_SY58 @ SV1 ) )
| ( SV67 = SY183 )
| ( in @ SV67 @ SY183 ) ) )
= $false )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1380,plain,
! [SV69: $i,SV1: $i] :
( ( ( ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK55_SY58 @ SV1 ) )
| ( SV69 = SY184 )
| ( in @ SV69 @ SY184 ) ) )
= $false )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1381,plain,
! [SV1: $i,SV90: $i] :
( ( ( in @ SV90 @ SV90 )
= $false )
| ( ( in @ SV90 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1382,plain,
! [SV1: $i,SV91: $i] :
( ( ( ~ ( in @ SV91 @ ( sK64_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ ( sK64_SY58 @ SV1 ) )
| ( SV91 = SY199 )
| ( in @ SV91 @ SY199 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1383,plain,
! [SV1: $i,SV92: $i] :
( ( ( in @ SV92 @ SV92 )
= $false )
| ( ( in @ SV92 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1384,plain,
! [SV1: $i,SV93: $i] :
( ( ( ~ ( in @ SV93 @ ( sK65_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK65_SY58 @ SV1 ) )
| ( SV93 = SY200 )
| ( in @ SV93 @ SY200 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1252]) ).
thf(1385,plain,
! [SV1: $i,SV94: $i] :
( ( ( in @ SV94 @ SV94 )
= $false )
| ( ( in @ SV94 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK76_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1386,plain,
! [SV1: $i,SV114: $i] :
( ( ( in @ SV114 @ SV1 )
= $false )
| ( ( ~ ( in @ SV114 @ SV114 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1387,plain,
! [SV1: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
| ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ ( sK76_SY58 @ SV1 ) )
| ( SV115 = SY223 )
| ( in @ SV115 @ SY223 ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1388,plain,
! [SV1: $i,SV95: $i] :
( ( ( in @ SV95 @ SV95 )
= $false )
| ( ( in @ SV95 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK77_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1389,plain,
! [SV1: $i,SV116: $i] :
( ( ( in @ SV116 @ SV1 )
= $false )
| ( ( ~ ( in @ SV116 @ SV116 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1390,plain,
! [SV1: $i,SV117: $i] :
( ( ( ~ ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
| ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ ( sK77_SY58 @ SV1 ) )
| ( SV117 = SY224 )
| ( in @ SV117 @ SY224 ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1391,plain,
! [SV1: $i,SV96: $i] :
( ( ( in @ SV96 @ SV96 )
= $false )
| ( ( in @ SV96 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK78_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1392,plain,
! [SV1: $i,SV118: $i] :
( ( ( in @ SV118 @ SV1 )
= $false )
| ( ( ~ ( in @ SV118 @ SV118 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1393,plain,
! [SV1: $i,SV119: $i] :
( ( ( ~ ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
| ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ ( sK78_SY58 @ SV1 ) )
| ( SV119 = SY225 )
| ( in @ SV119 @ SY225 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1394,plain,
! [SV1: $i,SV97: $i] :
( ( ( in @ SV97 @ SV97 )
= $false )
| ( ( in @ SV97 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK79_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1395,plain,
! [SV1: $i,SV120: $i] :
( ( ( in @ SV120 @ SV1 )
= $false )
| ( ( ~ ( in @ SV120 @ SV120 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1396,plain,
! [SV1: $i,SV121: $i] :
( ( ( ~ ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
| ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ ( sK79_SY58 @ SV1 ) )
| ( SV121 = SY226 )
| ( in @ SV121 @ SY226 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1397,plain,
! [SV1: $i,SV98: $i] :
( ( ( in @ SV98 @ SV98 )
= $false )
| ( ( in @ SV98 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1398,plain,
! [SV1: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ ( sK66_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ ( sK66_SY58 @ SV1 ) )
| ( SV99 = SY201 )
| ( in @ SV99 @ SY201 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1399,plain,
! [SV1: $i,SV100: $i] :
( ( ( in @ SV100 @ SV100 )
= $false )
| ( ( in @ SV100 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1400,plain,
! [SV1: $i,SV101: $i] :
( ( ( ~ ( in @ SV101 @ ( sK67_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK67_SY58 @ SV1 ) )
| ( SV101 = SY202 )
| ( in @ SV101 @ SY202 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1270]) ).
thf(1401,plain,
! [SV1: $i,SV122: $i] :
( ( ( in @ SV122 @ SV1 )
= $false )
| ( ( ~ ( in @ SV122 @ SV122 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1402,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( in @ SV134 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV134 @ SV134 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1403,plain,
! [SV1: $i,SV135: $i] :
( ( ( ~ ( ~ ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ ( sK88_SY58 @ SV1 ) )
| ( SV135 = SY247 )
| ( in @ SV135 @ SY247 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1404,plain,
! [SV1: $i,SV123: $i] :
( ( ( in @ SV123 @ SV1 )
= $false )
| ( ( ~ ( in @ SV123 @ SV123 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1405,plain,
! [SV1: $i,SV136: $i] :
( ( ( ~ ( in @ SV136 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV136 @ SV136 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1406,plain,
! [SV1: $i,SV137: $i] :
( ( ( ~ ( ~ ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY248: $i] :
( ~ ( in @ SY248 @ ( sK89_SY58 @ SV1 ) )
| ( SV137 = SY248 )
| ( in @ SV137 @ SY248 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1407,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( in @ SV148 @ SV1 )
| ~ ( in @ SV148 @ SV148 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1408,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK94_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1409,plain,
! [SV1: $i] :
( ( ( ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK94_SY58 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1410,plain,
! [SV1: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV1 )
| ~ ( in @ SV149 @ SV149 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1411,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK95_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1412,plain,
! [SV1: $i] :
( ( ( ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK95_SY58 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1413,plain,
! [SV1: $i] :
( ( ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1414,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK102_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1415,plain,
! [SV1: $i] :
( ( ( ~ ! [SY227: $i] :
~ ~ ( ~ ( in @ SY227 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY228: $i] :
( ~ ( in @ SY228 @ ( sK102_SY58 @ SV1 ) )
| ( SY227 = SY228 )
| ( in @ SY227 @ SY228 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1416,plain,
! [SV1: $i] :
( ( ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1417,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK103_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1418,plain,
! [SV1: $i] :
( ( ( ~ ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK103_SY58 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1419,plain,
! [SV1: $i] :
( ( ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1420,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK104_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1421,plain,
! [SV1: $i] :
( ( ( ~ ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK104_SY58 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1422,plain,
! [SV1: $i] :
( ( ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1423,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK105_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1424,plain,
! [SV1: $i] :
( ( ( ~ ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK105_SY58 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1425,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( in @ SV150 @ SV1 )
| ~ ( in @ SV150 @ SV150 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1426,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK96_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1427,plain,
! [SV1: $i] :
( ( ( ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK96_SY58 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1428,plain,
! [SV1: $i,SV151: $i] :
( ( ( ~ ( in @ SV151 @ SV1 )
| ~ ( in @ SV151 @ SV151 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1429,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK97_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1430,plain,
! [SV1: $i] :
( ( ( ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK97_SY58 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1431,plain,
! [SV1: $i,SV124: $i] :
( ( ( in @ SV124 @ SV1 )
= $false )
| ( ( ~ ( in @ SV124 @ SV124 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1432,plain,
! [SV1: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV138 @ SV138 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1433,plain,
! [SV1: $i,SV139: $i] :
( ( ( ~ ( ~ ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK90_SY58 @ SV1 ) )
| ( SV139 = SY249 )
| ( in @ SV139 @ SY249 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1434,plain,
! [SV1: $i,SV125: $i] :
( ( ( in @ SV125 @ SV1 )
= $false )
| ( ( ~ ( in @ SV125 @ SV125 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1435,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( in @ SV140 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV140 @ SV140 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1436,plain,
! [SV1: $i,SV141: $i] :
( ( ( ~ ( ~ ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK91_SY58 @ SV1 ) )
| ( SV141 = SY250 )
| ( in @ SV141 @ SY250 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1437,plain,
! [SV1: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV1 )
| ~ ( in @ SV152 @ SV152 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1438,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK98_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1439,plain,
! [SV1: $i] :
( ( ( ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK98_SY58 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1440,plain,
! [SV1: $i,SV153: $i] :
( ( ( ~ ( in @ SV153 @ SV1 )
| ~ ( in @ SV153 @ SV153 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1441,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK99_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1442,plain,
! [SV1: $i] :
( ( ( ! [SY213: $i] :
~ ~ ( ~ ( in @ SY213 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY214: $i] :
( ~ ( in @ SY214 @ ( sK99_SY58 @ SV1 ) )
| ( SY213 = SY214 )
| ( in @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1443,plain,
! [SV1: $i] :
( ( ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1444,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK106_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1445,plain,
! [SV1: $i] :
( ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK106_SY58 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1446,plain,
! [SV1: $i] :
( ( ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1447,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK107_SY58 @ SV1 ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1448,plain,
! [SV1: $i] :
( ( ( ~ ! [SY237: $i] :
~ ~ ( ~ ( in @ SY237 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ ( sK107_SY58 @ SV1 ) )
| ( SY237 = SY238 )
| ( in @ SY237 @ SY238 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1449,plain,
! [SV1: $i] :
( ( ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1450,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK108_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1451,plain,
! [SV1: $i] :
( ( ( ~ ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK108_SY58 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1452,plain,
! [SV1: $i] :
( ( ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1453,plain,
! [SV1: $i] :
( ( ( ~ ( nonempty @ ( sK109_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1454,plain,
! [SV1: $i] :
( ( ( ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK109_SY58 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1455,plain,
! [SV1: $i,SV154: $i] :
( ( ( ~ ( in @ SV154 @ SV1 )
| ~ ( in @ SV154 @ SV154 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1456,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK100_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1457,plain,
! [SV1: $i] :
( ( ( ! [SY215: $i] :
~ ~ ( ~ ( in @ SY215 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK100_SY58 @ SV1 ) )
| ( SY215 = SY216 )
| ( in @ SY215 @ SY216 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1458,plain,
! [SV1: $i,SV155: $i] :
( ( ( ~ ( in @ SV155 @ SV1 )
| ~ ( in @ SV155 @ SV155 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1459,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK101_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1460,plain,
! [SV1: $i] :
( ( ( ! [SY217: $i] :
~ ~ ( ~ ( in @ SY217 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK101_SY58 @ SV1 ) )
| ( SY217 = SY218 )
| ( in @ SY217 @ SY218 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1461,plain,
! [SV71: $i,SV1: $i] :
( ( ( ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK58_SY58 @ SV1 ) )
| ( SV71 = SY193 )
| ( in @ SV71 @ SY193 ) ) )
= $false )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1462,plain,
! [SV73: $i,SV1: $i] :
( ( ( ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK59_SY58 @ SV1 ) )
| ( SV73 = SY194 )
| ( in @ SV73 @ SY194 ) ) )
= $false )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1463,plain,
! [SV1: $i,SV102: $i] :
( ( ( in @ SV102 @ SV102 )
= $false )
| ( ( in @ SV102 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1464,plain,
! [SV1: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ ( sK72_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ ( sK72_SY58 @ SV1 ) )
| ( SV103 = SY219 )
| ( in @ SV103 @ SY219 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1465,plain,
! [SV1: $i,SV104: $i] :
( ( ( in @ SV104 @ SV104 )
= $false )
| ( ( in @ SV104 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1466,plain,
! [SV1: $i,SV105: $i] :
( ( ( ~ ( in @ SV105 @ ( sK73_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ ( sK73_SY58 @ SV1 ) )
| ( SV105 = SY220 )
| ( in @ SV105 @ SY220 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1467,plain,
! [SV1: $i,SV106: $i] :
( ( ( in @ SV106 @ SV106 )
= $false )
| ( ( in @ SV106 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1468,plain,
! [SV1: $i,SV126: $i] :
( ( ( in @ SV126 @ SV1 )
= $false )
| ( ( ~ ( in @ SV126 @ SV126 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1469,plain,
! [SV1: $i,SV127: $i] :
( ( ( ~ ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
| ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ ( sK84_SY58 @ SV1 ) )
| ( SV127 = SY243 )
| ( in @ SV127 @ SY243 ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1470,plain,
! [SV1: $i,SV107: $i] :
( ( ( in @ SV107 @ SV107 )
= $false )
| ( ( in @ SV107 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1471,plain,
! [SV1: $i,SV128: $i] :
( ( ( in @ SV128 @ SV1 )
= $false )
| ( ( ~ ( in @ SV128 @ SV128 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1472,plain,
! [SV1: $i,SV129: $i] :
( ( ( ~ ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK85_SY58 @ SV1 ) )
| ( SV129 = SY244 )
| ( in @ SV129 @ SY244 ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1336]) ).
thf(1473,plain,
! [SV1: $i,SV108: $i] :
( ( ( in @ SV108 @ SV108 )
= $false )
| ( ( in @ SV108 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1474,plain,
! [SV1: $i,SV130: $i] :
( ( ( in @ SV130 @ SV1 )
= $false )
| ( ( ~ ( in @ SV130 @ SV130 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1475,plain,
! [SV1: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
| ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ ( sK86_SY58 @ SV1 ) )
| ( SV131 = SY245 )
| ( in @ SV131 @ SY245 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1476,plain,
! [SV1: $i,SV109: $i] :
( ( ( in @ SV109 @ SV109 )
= $false )
| ( ( in @ SV109 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1477,plain,
! [SV1: $i,SV132: $i] :
( ( ( in @ SV132 @ SV1 )
= $false )
| ( ( ~ ( in @ SV132 @ SV132 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1478,plain,
! [SV1: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK87_SY58 @ SV1 ) )
| ( SV133 = SY246 )
| ( in @ SV133 @ SY246 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1479,plain,
! [SV1: $i,SV110: $i] :
( ( ( in @ SV110 @ SV110 )
= $false )
| ( ( in @ SV110 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1480,plain,
! [SV1: $i,SV111: $i] :
( ( ( ~ ( in @ SV111 @ ( sK74_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ ( sK74_SY58 @ SV1 ) )
| ( SV111 = SY221 )
| ( in @ SV111 @ SY221 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1481,plain,
! [SV1: $i,SV112: $i] :
( ( ( in @ SV112 @ SV112 )
= $false )
| ( ( in @ SV112 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1482,plain,
! [SV1: $i,SV113: $i] :
( ( ( ~ ( in @ SV113 @ ( sK75_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ ( sK75_SY58 @ SV1 ) )
| ( SV113 = SY222 )
| ( in @ SV113 @ SY222 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1348]) ).
thf(1483,plain,
! [SV13: $i,SV1: $i,SV142: $i] :
( ( ( ~ ( in @ SV142 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV142 @ SV142 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1484,plain,
! [SV13: $i,SV1: $i,SV143: $i] :
( ( ( ~ ( in @ SV143 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV143 @ SV143 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1350]) ).
thf(1485,plain,
! [SV13: $i,SV1: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV144 @ SV144 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1486,plain,
! [SV15: $i,SV1: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV145 @ SV145 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1487,plain,
! [SV15: $i,SV1: $i,SV146: $i] :
( ( ( ~ ( in @ SV146 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV146 @ SV146 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1353]) ).
thf(1488,plain,
! [SV15: $i,SV1: $i,SV147: $i] :
( ( ( ~ ( in @ SV147 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV147 @ SV147 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1489,plain,
! [SV1: $i,SV23: $i] :
( ( ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1490,plain,
! [SV1: $i,SV23: $i] :
( ( ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
= $false )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1356]) ).
thf(1491,plain,
! [SV1: $i,SV23: $i] :
( ( ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) )
= $false )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1356]) ).
thf(1492,plain,
! [SV1: $i,SV25: $i] :
( ( ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1493,plain,
! [SV1: $i,SV25: $i] :
( ( ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
= $false )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1494,plain,
! [SV1: $i,SV25: $i] :
( ( ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) )
= $false )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1495,plain,
! [SV1: $i,SV39: $i] :
( ( ( ~ ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1496,plain,
! [SV1: $i,SV39: $i] :
( ( ( ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
| ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1497,plain,
! [SV1: $i,SV41: $i] :
( ( ( ~ ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1498,plain,
! [SV1: $i,SV41: $i] :
( ( ( ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
| ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1499,plain,
! [SV1: $i,SV43: $i] :
( ( ( ~ ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1361]) ).
thf(1500,plain,
! [SV1: $i,SV43: $i] :
( ( ( ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
| ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1361]) ).
thf(1501,plain,
! [SV1: $i,SV45: $i] :
( ( ( ~ ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1502,plain,
! [SV1: $i,SV45: $i] :
( ( ( ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
| ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1503,plain,
! [SV1: $i,SV31: $i] :
( ( ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1504,plain,
! [SV1: $i,SV31: $i] :
( ( ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1505,plain,
! [SV1: $i,SV31: $i] :
( ( ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1506,plain,
! [SV1: $i,SV33: $i] :
( ( ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1507,plain,
! [SV1: $i,SV33: $i] :
( ( ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1508,plain,
! [SV1: $i,SV33: $i] :
( ( ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1509,plain,
! [SV1: $i,SV35: $i] :
( ( ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1510,plain,
! [SV1: $i,SV35: $i] :
( ( ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
= $false )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1511,plain,
! [SV1: $i,SV35: $i] :
( ( ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) )
= $false )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1512,plain,
! [SV1: $i,SV37: $i] :
( ( ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1513,plain,
! [SV1: $i,SV37: $i] :
( ( ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
= $false )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1370]) ).
thf(1514,plain,
! [SV1: $i,SV37: $i] :
( ( ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) )
= $false )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1370]) ).
thf(1515,plain,
! [SV1: $i,SV55: $i] :
( ( ( ~ ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) )
| ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
| ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) ) )
= $false )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1371]) ).
thf(1516,plain,
! [SV1: $i,SV57: $i] :
( ( ( ~ ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) )
| ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
| ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) ) )
= $false )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1372]) ).
thf(1517,plain,
! [SV75: $i,SV1: $i] :
( ( ( ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK60_SY58 @ SV1 ) )
| ( SV75 = SY195 )
| ( in @ SV75 @ SY195 ) ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1518,plain,
! [SV77: $i,SV1: $i] :
( ( ( ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK61_SY58 @ SV1 ) )
| ( SV77 = SY196 )
| ( in @ SV77 @ SY196 ) ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1519,plain,
! [SV79: $i,SV1: $i] :
( ( ( ! [SY197: $i] :
( ~ ( in @ SY197 @ ( sK62_SY58 @ SV1 ) )
| ( SV79 = SY197 )
| ( in @ SV79 @ SY197 ) ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1520,plain,
! [SV81: $i,SV1: $i] :
( ( ( ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK63_SY58 @ SV1 ) )
| ( SV81 = SY198 )
| ( in @ SV81 @ SY198 ) ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1521,plain,
! [SV1: $i,SV63: $i] :
( ( ( ~ ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) )
| ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
| ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1377]) ).
thf(1522,plain,
! [SV1: $i,SV65: $i] :
( ( ( ~ ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) )
| ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
| ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1378]) ).
thf(1523,plain,
! [SV1: $i,SV67: $i] :
( ( ( ~ ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) )
| ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
| ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) ) )
= $false )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1379]) ).
thf(1524,plain,
! [SV1: $i,SV69: $i] :
( ( ( ~ ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) )
| ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
| ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) ) )
= $false )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1380]) ).
thf(1525,plain,
! [SV1: $i,SV91: $i] :
( ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ ( sK64_SY58 @ SV1 ) )
| ( SV91 = SY199 )
| ( in @ SV91 @ SY199 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1526,plain,
! [SV1: $i,SV93: $i] :
( ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK65_SY58 @ SV1 ) )
| ( SV93 = SY200 )
| ( in @ SV93 @ SY200 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1527,plain,
! [SV1: $i,SV114: $i] :
( ( ( in @ SV114 @ SV114 )
= $false )
| ( ( in @ SV114 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1528,plain,
! [SV1: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ ( sK76_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ ( sK76_SY58 @ SV1 ) )
| ( SV115 = SY223 )
| ( in @ SV115 @ SY223 ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1529,plain,
! [SV1: $i,SV116: $i] :
( ( ( in @ SV116 @ SV116 )
= $false )
| ( ( in @ SV116 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1530,plain,
! [SV1: $i,SV117: $i] :
( ( ( ~ ( in @ SV117 @ ( sK77_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ ( sK77_SY58 @ SV1 ) )
| ( SV117 = SY224 )
| ( in @ SV117 @ SY224 ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1390]) ).
thf(1531,plain,
! [SV1: $i,SV118: $i] :
( ( ( in @ SV118 @ SV118 )
= $false )
| ( ( in @ SV118 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1532,plain,
! [SV1: $i,SV119: $i] :
( ( ( ~ ( in @ SV119 @ ( sK78_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ ( sK78_SY58 @ SV1 ) )
| ( SV119 = SY225 )
| ( in @ SV119 @ SY225 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1533,plain,
! [SV1: $i,SV120: $i] :
( ( ( in @ SV120 @ SV120 )
= $false )
| ( ( in @ SV120 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1534,plain,
! [SV1: $i,SV121: $i] :
( ( ( ~ ( in @ SV121 @ ( sK79_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ ( sK79_SY58 @ SV1 ) )
| ( SV121 = SY226 )
| ( in @ SV121 @ SY226 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1535,plain,
! [SV1: $i,SV99: $i] :
( ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ ( sK66_SY58 @ SV1 ) )
| ( SV99 = SY201 )
| ( in @ SV99 @ SY201 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1536,plain,
! [SV1: $i,SV101: $i] :
( ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK67_SY58 @ SV1 ) )
| ( SV101 = SY202 )
| ( in @ SV101 @ SY202 ) ) )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1537,plain,
! [SV1: $i,SV122: $i] :
( ( ( in @ SV122 @ SV122 )
= $false )
| ( ( in @ SV122 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1538,plain,
! [SV1: $i,SV134: $i] :
( ( ( in @ SV134 @ SV1 )
= $false )
| ( ( ~ ( in @ SV134 @ SV134 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1539,plain,
! [SV1: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
| ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ ( sK88_SY58 @ SV1 ) )
| ( SV135 = SY247 )
| ( in @ SV135 @ SY247 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1540,plain,
! [SV1: $i,SV123: $i] :
( ( ( in @ SV123 @ SV123 )
= $false )
| ( ( in @ SV123 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1541,plain,
! [SV1: $i,SV136: $i] :
( ( ( in @ SV136 @ SV1 )
= $false )
| ( ( ~ ( in @ SV136 @ SV136 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1542,plain,
! [SV1: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
| ~ ! [SY248: $i] :
( ~ ( in @ SY248 @ ( sK89_SY58 @ SV1 ) )
| ( SV137 = SY248 )
| ( in @ SV137 @ SY248 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1543,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( in @ SV148 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV148 @ SV148 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1544,plain,
! [SV1: $i,SV156: $i] :
( ( ( ~ ( in @ SV156 @ SV1 )
| ~ ( in @ SV156 @ SV156 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1545,plain,
! [SV1: $i,SV157: $i] :
( ( ( ~ ~ ( ~ ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY58 @ SV1 ) )
| ( SV157 = SY251 )
| ( in @ SV157 @ SY251 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1546,plain,
! [SV1: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV149 @ SV149 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1547,plain,
! [SV1: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV1 )
| ~ ( in @ SV158 @ SV158 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1548,plain,
! [SV1: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY58 @ SV1 ) )
| ( SV159 = SY252 )
| ( in @ SV159 @ SY252 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1549,plain,
! [SV1: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ SV1 )
| ~ ( in @ SV160 @ SV160 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1550,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK102_SY58 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1551,plain,
! [SV1: $i] :
( ( ( ! [SY227: $i] :
~ ~ ( ~ ( in @ SY227 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY228: $i] :
( ~ ( in @ SY228 @ ( sK102_SY58 @ SV1 ) )
| ( SY227 = SY228 )
| ( in @ SY227 @ SY228 ) ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1415]) ).
thf(1552,plain,
! [SV1: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV1 )
| ~ ( in @ SV161 @ SV161 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1553,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK103_SY58 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1554,plain,
! [SV1: $i] :
( ( ( ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK103_SY58 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1555,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ SV1 )
| ~ ( in @ SV162 @ SV162 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1556,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK104_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1557,plain,
! [SV1: $i] :
( ( ( ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK104_SY58 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1558,plain,
! [SV1: $i,SV163: $i] :
( ( ( ~ ( in @ SV163 @ SV1 )
| ~ ( in @ SV163 @ SV163 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1559,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK105_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1560,plain,
! [SV1: $i] :
( ( ( ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK105_SY58 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1561,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( in @ SV150 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV150 @ SV150 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1562,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ SV1 )
| ~ ( in @ SV164 @ SV164 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1563,plain,
! [SV1: $i,SV165: $i] :
( ( ( ~ ~ ( ~ ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ ( sK96_SY58 @ SV1 ) )
| ( SV165 = SY253 )
| ( in @ SV165 @ SY253 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1564,plain,
! [SV1: $i,SV151: $i] :
( ( ( ~ ( in @ SV151 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV151 @ SV151 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1565,plain,
! [SV1: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV1 )
| ~ ( in @ SV166 @ SV166 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1566,plain,
! [SV1: $i,SV167: $i] :
( ( ( ~ ~ ( ~ ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY254: $i] :
( ~ ( in @ SY254 @ ( sK97_SY58 @ SV1 ) )
| ( SV167 = SY254 )
| ( in @ SV167 @ SY254 ) ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1567,plain,
! [SV1: $i,SV124: $i] :
( ( ( in @ SV124 @ SV124 )
= $false )
| ( ( in @ SV124 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK90_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1568,plain,
! [SV1: $i,SV138: $i] :
( ( ( in @ SV138 @ SV1 )
= $false )
| ( ( ~ ( in @ SV138 @ SV138 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1569,plain,
! [SV1: $i,SV139: $i] :
( ( ( ~ ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK90_SY58 @ SV1 ) )
| ( SV139 = SY249 )
| ( in @ SV139 @ SY249 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1570,plain,
! [SV1: $i,SV125: $i] :
( ( ( in @ SV125 @ SV125 )
= $false )
| ( ( in @ SV125 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK91_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1571,plain,
! [SV1: $i,SV140: $i] :
( ( ( in @ SV140 @ SV1 )
= $false )
| ( ( ~ ( in @ SV140 @ SV140 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1572,plain,
! [SV1: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
| ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK91_SY58 @ SV1 ) )
| ( SV141 = SY250 )
| ( in @ SV141 @ SY250 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1573,plain,
! [SV1: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV152 @ SV152 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1437]) ).
thf(1574,plain,
! [SV1: $i,SV168: $i] :
( ( ( ~ ( in @ SV168 @ SV1 )
| ~ ( in @ SV168 @ SV168 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1575,plain,
! [SV1: $i,SV169: $i] :
( ( ( ~ ~ ( ~ ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ ( sK98_SY58 @ SV1 ) )
| ( SV169 = SY255 )
| ( in @ SV169 @ SY255 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1576,plain,
! [SV1: $i,SV153: $i] :
( ( ( ~ ( in @ SV153 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV153 @ SV153 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1440]) ).
thf(1577,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( in @ SV170 @ SV1 )
| ~ ( in @ SV170 @ SV170 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1578,plain,
! [SV1: $i,SV171: $i] :
( ( ( ~ ~ ( ~ ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY256: $i] :
( ~ ( in @ SY256 @ ( sK99_SY58 @ SV1 ) )
| ( SV171 = SY256 )
| ( in @ SV171 @ SY256 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1579,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ SV1 )
| ~ ( in @ SV172 @ SV172 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1580,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK106_SY58 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1581,plain,
! [SV1: $i] :
( ( ( ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK106_SY58 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1582,plain,
! [SV1: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV1 )
| ~ ( in @ SV173 @ SV173 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(1583,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK107_SY58 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1584,plain,
! [SV1: $i] :
( ( ( ! [SY237: $i] :
~ ~ ( ~ ( in @ SY237 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ ( sK107_SY58 @ SV1 ) )
| ( SY237 = SY238 )
| ( in @ SY237 @ SY238 ) ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1585,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( in @ SV174 @ SV1 )
| ~ ( in @ SV174 @ SV174 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1586,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK108_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1587,plain,
! [SV1: $i] :
( ( ( ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK108_SY58 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1588,plain,
! [SV1: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ SV1 )
| ~ ( in @ SV175 @ SV175 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1589,plain,
! [SV1: $i] :
( ( ( nonempty @ ( sK109_SY58 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1590,plain,
! [SV1: $i] :
( ( ( ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK109_SY58 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1591,plain,
! [SV1: $i,SV154: $i] :
( ( ( ~ ( in @ SV154 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV154 @ SV154 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1592,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ SV1 )
| ~ ( in @ SV176 @ SV176 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1593,plain,
! [SV1: $i,SV177: $i] :
( ( ( ~ ~ ( ~ ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ ( sK100_SY58 @ SV1 ) )
| ( SV177 = SY257 )
| ( in @ SV177 @ SY257 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1594,plain,
! [SV1: $i,SV155: $i] :
( ( ( ~ ( in @ SV155 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV155 @ SV155 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1458]) ).
thf(1595,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV1 )
| ~ ( in @ SV178 @ SV178 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1596,plain,
! [SV1: $i,SV179: $i] :
( ( ( ~ ~ ( ~ ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY258: $i] :
( ~ ( in @ SY258 @ ( sK101_SY58 @ SV1 ) )
| ( SV179 = SY258 )
| ( in @ SV179 @ SY258 ) ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1597,plain,
! [SV1: $i,SV71: $i] :
( ( ( ~ ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) )
| ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
| ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) ) )
= $false )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1461]) ).
thf(1598,plain,
! [SV1: $i,SV73: $i] :
( ( ( ~ ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) )
| ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
| ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) ) )
= $false )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1462]) ).
thf(1599,plain,
! [SV1: $i,SV103: $i] :
( ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ ( sK72_SY58 @ SV1 ) )
| ( SV103 = SY219 )
| ( in @ SV103 @ SY219 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1600,plain,
! [SV1: $i,SV105: $i] :
( ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ ( sK73_SY58 @ SV1 ) )
| ( SV105 = SY220 )
| ( in @ SV105 @ SY220 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1601,plain,
! [SV1: $i,SV126: $i] :
( ( ( in @ SV126 @ SV126 )
= $false )
| ( ( in @ SV126 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1602,plain,
! [SV1: $i,SV127: $i] :
( ( ( ~ ( in @ SV127 @ ( sK84_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ ( sK84_SY58 @ SV1 ) )
| ( SV127 = SY243 )
| ( in @ SV127 @ SY243 ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1469]) ).
thf(1603,plain,
! [SV1: $i,SV128: $i] :
( ( ( in @ SV128 @ SV128 )
= $false )
| ( ( in @ SV128 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1604,plain,
! [SV1: $i,SV129: $i] :
( ( ( ~ ( in @ SV129 @ ( sK85_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK85_SY58 @ SV1 ) )
| ( SV129 = SY244 )
| ( in @ SV129 @ SY244 ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1472]) ).
thf(1605,plain,
! [SV1: $i,SV130: $i] :
( ( ( in @ SV130 @ SV130 )
= $false )
| ( ( in @ SV130 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1606,plain,
! [SV1: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ ( sK86_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ ( sK86_SY58 @ SV1 ) )
| ( SV131 = SY245 )
| ( in @ SV131 @ SY245 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1475]) ).
thf(1607,plain,
! [SV1: $i,SV132: $i] :
( ( ( in @ SV132 @ SV132 )
= $false )
| ( ( in @ SV132 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1608,plain,
! [SV1: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ ( sK87_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK87_SY58 @ SV1 ) )
| ( SV133 = SY246 )
| ( in @ SV133 @ SY246 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1609,plain,
! [SV1: $i,SV111: $i] :
( ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ ( sK74_SY58 @ SV1 ) )
| ( SV111 = SY221 )
| ( in @ SV111 @ SY221 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1610,plain,
! [SV1: $i,SV113: $i] :
( ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ ( sK75_SY58 @ SV1 ) )
| ( SV113 = SY222 )
| ( in @ SV113 @ SY222 ) ) )
= $true )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1611,plain,
! [SV13: $i,SV1: $i,SV142: $i] :
( ( ( in @ SV142 @ SV1 )
= $false )
| ( ( ~ ( in @ SV142 @ SV142 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1612,plain,
! [SV13: $i,SV1: $i,SV143: $i] :
( ( ( in @ SV143 @ SV1 )
= $false )
| ( ( ~ ( in @ SV143 @ SV143 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1613,plain,
! [SV13: $i,SV1: $i,SV144: $i] :
( ( ( in @ SV144 @ SV1 )
= $false )
| ( ( ~ ( in @ SV144 @ SV144 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1614,plain,
! [SV15: $i,SV1: $i,SV145: $i] :
( ( ( in @ SV145 @ SV1 )
= $false )
| ( ( ~ ( in @ SV145 @ SV145 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1615,plain,
! [SV15: $i,SV1: $i,SV146: $i] :
( ( ( in @ SV146 @ SV1 )
= $false )
| ( ( ~ ( in @ SV146 @ SV146 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1616,plain,
! [SV15: $i,SV1: $i,SV147: $i] :
( ( ( in @ SV147 @ SV1 )
= $false )
| ( ( ~ ( in @ SV147 @ SV147 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1617,plain,
! [SV23: $i,SV1: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ SV1 )
| ~ ( in @ SV180 @ SV180 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1618,plain,
! [SV23: $i,SV1: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ SV1 )
| ~ ( in @ SV181 @ SV181 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1619,plain,
! [SV23: $i,SV1: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ SV1 )
| ~ ( in @ SV182 @ SV182 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1620,plain,
! [SV25: $i,SV1: $i,SV183: $i] :
( ( ( ~ ( in @ SV183 @ SV1 )
| ~ ( in @ SV183 @ SV183 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1621,plain,
! [SV25: $i,SV1: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ SV1 )
| ~ ( in @ SV184 @ SV184 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1622,plain,
! [SV25: $i,SV1: $i,SV185: $i] :
( ( ( ~ ( in @ SV185 @ SV1 )
| ~ ( in @ SV185 @ SV185 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1623,plain,
! [SV1: $i,SV39: $i] :
( ( ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1624,plain,
! [SV1: $i,SV39: $i] :
( ( ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1625,plain,
! [SV1: $i,SV39: $i] :
( ( ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1626,plain,
! [SV1: $i,SV41: $i] :
( ( ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1627,plain,
! [SV1: $i,SV41: $i] :
( ( ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1628,plain,
! [SV1: $i,SV41: $i] :
( ( ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1629,plain,
! [SV1: $i,SV43: $i] :
( ( ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1630,plain,
! [SV1: $i,SV43: $i] :
( ( ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1631,plain,
! [SV1: $i,SV43: $i] :
( ( ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1632,plain,
! [SV1: $i,SV45: $i] :
( ( ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1501]) ).
thf(1633,plain,
! [SV1: $i,SV45: $i] :
( ( ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1634,plain,
! [SV1: $i,SV45: $i] :
( ( ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1635,plain,
! [SV31: $i,SV1: $i,SV186: $i] :
( ( ( ~ ( in @ SV186 @ SV1 )
| ~ ( in @ SV186 @ SV186 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1636,plain,
! [SV31: $i,SV1: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ SV1 )
| ~ ( in @ SV187 @ SV187 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1637,plain,
! [SV31: $i,SV1: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV1 )
| ~ ( in @ SV188 @ SV188 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1638,plain,
! [SV33: $i,SV1: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV1 )
| ~ ( in @ SV189 @ SV189 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1639,plain,
! [SV33: $i,SV1: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ SV1 )
| ~ ( in @ SV190 @ SV190 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1640,plain,
! [SV33: $i,SV1: $i,SV191: $i] :
( ( ( ~ ( in @ SV191 @ SV1 )
| ~ ( in @ SV191 @ SV191 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1641,plain,
! [SV35: $i,SV1: $i,SV192: $i] :
( ( ( ~ ( in @ SV192 @ SV1 )
| ~ ( in @ SV192 @ SV192 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1642,plain,
! [SV35: $i,SV1: $i,SV193: $i] :
( ( ( ~ ( in @ SV193 @ SV1 )
| ~ ( in @ SV193 @ SV193 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1643,plain,
! [SV35: $i,SV1: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ SV1 )
| ~ ( in @ SV194 @ SV194 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1644,plain,
! [SV37: $i,SV1: $i,SV195: $i] :
( ( ( ~ ( in @ SV195 @ SV1 )
| ~ ( in @ SV195 @ SV195 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1645,plain,
! [SV37: $i,SV1: $i,SV196: $i] :
( ( ( ~ ( in @ SV196 @ SV1 )
| ~ ( in @ SV196 @ SV196 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1646,plain,
! [SV37: $i,SV1: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ SV1 )
| ~ ( in @ SV197 @ SV197 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1647,plain,
! [SV1: $i,SV55: $i] :
( ( ( ~ ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1648,plain,
! [SV1: $i,SV55: $i] :
( ( ( ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
| ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) ) )
= $false )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1649,plain,
! [SV1: $i,SV57: $i] :
( ( ( ~ ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1650,plain,
! [SV1: $i,SV57: $i] :
( ( ( ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
| ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) ) )
= $false )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1651,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) )
| ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
| ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1517]) ).
thf(1652,plain,
! [SV1: $i,SV77: $i] :
( ( ( ~ ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) )
| ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
| ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1518]) ).
thf(1653,plain,
! [SV1: $i,SV79: $i] :
( ( ( ~ ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) )
| ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
| ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1519]) ).
thf(1654,plain,
! [SV1: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) )
| ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
| ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1520]) ).
thf(1655,plain,
! [SV1: $i,SV63: $i] :
( ( ( ~ ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1656,plain,
! [SV1: $i,SV63: $i] :
( ( ( ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
| ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1657,plain,
! [SV1: $i,SV65: $i] :
( ( ( ~ ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1658,plain,
! [SV1: $i,SV65: $i] :
( ( ( ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
| ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1659,plain,
! [SV1: $i,SV67: $i] :
( ( ( ~ ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1660,plain,
! [SV1: $i,SV67: $i] :
( ( ( ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
| ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) ) )
= $false )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1661,plain,
! [SV1: $i,SV69: $i] :
( ( ( ~ ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1662,plain,
! [SV1: $i,SV69: $i] :
( ( ( ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
| ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) ) )
= $false )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1663,plain,
! [SV91: $i,SV1: $i] :
( ( ( ! [SY199: $i] :
( ~ ( in @ SY199 @ ( sK64_SY58 @ SV1 ) )
| ( SV91 = SY199 )
| ( in @ SV91 @ SY199 ) ) )
= $false )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1664,plain,
! [SV93: $i,SV1: $i] :
( ( ( ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK65_SY58 @ SV1 ) )
| ( SV93 = SY200 )
| ( in @ SV93 @ SY200 ) ) )
= $false )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1665,plain,
! [SV1: $i,SV115: $i] :
( ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ ( sK76_SY58 @ SV1 ) )
| ( SV115 = SY223 )
| ( in @ SV115 @ SY223 ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1666,plain,
! [SV1: $i,SV117: $i] :
( ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ ( sK77_SY58 @ SV1 ) )
| ( SV117 = SY224 )
| ( in @ SV117 @ SY224 ) ) )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1667,plain,
! [SV1: $i,SV119: $i] :
( ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ ( sK78_SY58 @ SV1 ) )
| ( SV119 = SY225 )
| ( in @ SV119 @ SY225 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1668,plain,
! [SV1: $i,SV121: $i] :
( ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY226: $i] :
( ~ ( in @ SY226 @ ( sK79_SY58 @ SV1 ) )
| ( SV121 = SY226 )
| ( in @ SV121 @ SY226 ) ) )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1669,plain,
! [SV99: $i,SV1: $i] :
( ( ( ! [SY201: $i] :
( ~ ( in @ SY201 @ ( sK66_SY58 @ SV1 ) )
| ( SV99 = SY201 )
| ( in @ SV99 @ SY201 ) ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1670,plain,
! [SV101: $i,SV1: $i] :
( ( ( ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK67_SY58 @ SV1 ) )
| ( SV101 = SY202 )
| ( in @ SV101 @ SY202 ) ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1671,plain,
! [SV1: $i,SV134: $i] :
( ( ( in @ SV134 @ SV134 )
= $false )
| ( ( in @ SV134 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1672,plain,
! [SV1: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ ( sK88_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ ( sK88_SY58 @ SV1 ) )
| ( SV135 = SY247 )
| ( in @ SV135 @ SY247 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1673,plain,
! [SV1: $i,SV136: $i] :
( ( ( in @ SV136 @ SV136 )
= $false )
| ( ( in @ SV136 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1674,plain,
! [SV1: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ ( sK89_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY248: $i] :
( ~ ( in @ SY248 @ ( sK89_SY58 @ SV1 ) )
| ( SV137 = SY248 )
| ( in @ SV137 @ SY248 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1675,plain,
! [SV1: $i,SV148: $i] :
( ( ( in @ SV148 @ SV1 )
= $false )
| ( ( ~ ( in @ SV148 @ SV148 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1676,plain,
! [SV1: $i,SV156: $i] :
( ( ( ~ ( in @ SV156 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV156 @ SV156 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1677,plain,
! [SV1: $i,SV157: $i] :
( ( ( ~ ( ~ ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY58 @ SV1 ) )
| ( SV157 = SY251 )
| ( in @ SV157 @ SY251 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1678,plain,
! [SV1: $i,SV149: $i] :
( ( ( in @ SV149 @ SV1 )
= $false )
| ( ( ~ ( in @ SV149 @ SV149 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1679,plain,
! [SV1: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV158 @ SV158 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1680,plain,
! [SV1: $i,SV159: $i] :
( ( ( ~ ( ~ ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY58 @ SV1 ) )
| ( SV159 = SY252 )
| ( in @ SV159 @ SY252 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1681,plain,
! [SV1: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV160 @ SV160 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1682,plain,
! [SV1: $i,SV198: $i] :
( ( ( ~ ( in @ SV198 @ SV1 )
| ~ ( in @ SV198 @ SV198 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1683,plain,
! [SV1: $i,SV199: $i] :
( ( ( ~ ~ ( ~ ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ ( sK102_SY58 @ SV1 ) )
| ( SV199 = SY259 )
| ( in @ SV199 @ SY259 ) ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1684,plain,
! [SV1: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV161 @ SV161 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1685,plain,
! [SV1: $i,SV200: $i] :
( ( ( ~ ( in @ SV200 @ SV1 )
| ~ ( in @ SV200 @ SV200 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1686,plain,
! [SV1: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY260: $i] :
( ~ ( in @ SY260 @ ( sK103_SY58 @ SV1 ) )
| ( SV201 = SY260 )
| ( in @ SV201 @ SY260 ) ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1687,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV162 @ SV162 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1555]) ).
thf(1688,plain,
! [SV1: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ SV1 )
| ~ ( in @ SV202 @ SV202 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1689,plain,
! [SV1: $i,SV203: $i] :
( ( ( ~ ~ ( ~ ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ ( sK104_SY58 @ SV1 ) )
| ( SV203 = SY261 )
| ( in @ SV203 @ SY261 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1690,plain,
! [SV1: $i,SV163: $i] :
( ( ( ~ ( in @ SV163 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV163 @ SV163 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1691,plain,
! [SV1: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV1 )
| ~ ( in @ SV204 @ SV204 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1692,plain,
! [SV1: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY262: $i] :
( ~ ( in @ SY262 @ ( sK105_SY58 @ SV1 ) )
| ( SV205 = SY262 )
| ( in @ SV205 @ SY262 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1693,plain,
! [SV1: $i,SV150: $i] :
( ( ( in @ SV150 @ SV1 )
= $false )
| ( ( ~ ( in @ SV150 @ SV150 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1694,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV164 @ SV164 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1562]) ).
thf(1695,plain,
! [SV1: $i,SV165: $i] :
( ( ( ~ ( ~ ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ ( sK96_SY58 @ SV1 ) )
| ( SV165 = SY253 )
| ( in @ SV165 @ SY253 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1696,plain,
! [SV1: $i,SV151: $i] :
( ( ( in @ SV151 @ SV1 )
= $false )
| ( ( ~ ( in @ SV151 @ SV151 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1697,plain,
! [SV1: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV166 @ SV166 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1698,plain,
! [SV1: $i,SV167: $i] :
( ( ( ~ ( ~ ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY254: $i] :
( ~ ( in @ SY254 @ ( sK97_SY58 @ SV1 ) )
| ( SV167 = SY254 )
| ( in @ SV167 @ SY254 ) ) ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1699,plain,
! [SV1: $i,SV138: $i] :
( ( ( in @ SV138 @ SV138 )
= $false )
| ( ( in @ SV138 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1700,plain,
! [SV1: $i,SV139: $i] :
( ( ( ~ ( in @ SV139 @ ( sK90_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK90_SY58 @ SV1 ) )
| ( SV139 = SY249 )
| ( in @ SV139 @ SY249 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1569]) ).
thf(1701,plain,
! [SV1: $i,SV140: $i] :
( ( ( in @ SV140 @ SV140 )
= $false )
| ( ( in @ SV140 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1702,plain,
! [SV1: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ ( sK91_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK91_SY58 @ SV1 ) )
| ( SV141 = SY250 )
| ( in @ SV141 @ SY250 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1703,plain,
! [SV1: $i,SV152: $i] :
( ( ( in @ SV152 @ SV1 )
= $false )
| ( ( ~ ( in @ SV152 @ SV152 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1704,plain,
! [SV1: $i,SV168: $i] :
( ( ( ~ ( in @ SV168 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV168 @ SV168 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1574]) ).
thf(1705,plain,
! [SV1: $i,SV169: $i] :
( ( ( ~ ( ~ ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ ( sK98_SY58 @ SV1 ) )
| ( SV169 = SY255 )
| ( in @ SV169 @ SY255 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1706,plain,
! [SV1: $i,SV153: $i] :
( ( ( in @ SV153 @ SV1 )
= $false )
| ( ( ~ ( in @ SV153 @ SV153 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1707,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( in @ SV170 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV170 @ SV170 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1708,plain,
! [SV1: $i,SV171: $i] :
( ( ( ~ ( ~ ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY256: $i] :
( ~ ( in @ SY256 @ ( sK99_SY58 @ SV1 ) )
| ( SV171 = SY256 )
| ( in @ SV171 @ SY256 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1709,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV172 @ SV172 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1710,plain,
! [SV1: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ SV1 )
| ~ ( in @ SV206 @ SV206 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(1711,plain,
! [SV1: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK106_SY58 @ SV1 ) )
| ( SV207 = SY263 )
| ( in @ SV207 @ SY263 ) ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1712,plain,
! [SV1: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV173 @ SV173 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1713,plain,
! [SV1: $i,SV208: $i] :
( ( ( ~ ( in @ SV208 @ SV1 )
| ~ ( in @ SV208 @ SV208 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1714,plain,
! [SV1: $i,SV209: $i] :
( ( ( ~ ~ ( ~ ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK107_SY58 @ SV1 ) )
| ( SV209 = SY264 )
| ( in @ SV209 @ SY264 ) ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(1715,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( in @ SV174 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV174 @ SV174 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1716,plain,
! [SV1: $i,SV210: $i] :
( ( ( ~ ( in @ SV210 @ SV1 )
| ~ ( in @ SV210 @ SV210 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1717,plain,
! [SV1: $i,SV211: $i] :
( ( ( ~ ~ ( ~ ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ ( sK108_SY58 @ SV1 ) )
| ( SV211 = SY265 )
| ( in @ SV211 @ SY265 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(1718,plain,
! [SV1: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV175 @ SV175 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1719,plain,
! [SV1: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ SV1 )
| ~ ( in @ SV212 @ SV212 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(1720,plain,
! [SV1: $i,SV213: $i] :
( ( ( ~ ~ ( ~ ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK109_SY58 @ SV1 ) )
| ( SV213 = SY266 )
| ( in @ SV213 @ SY266 ) ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1721,plain,
! [SV1: $i,SV154: $i] :
( ( ( in @ SV154 @ SV1 )
= $false )
| ( ( ~ ( in @ SV154 @ SV154 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1722,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV176 @ SV176 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1723,plain,
! [SV1: $i,SV177: $i] :
( ( ( ~ ( ~ ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ ( sK100_SY58 @ SV1 ) )
| ( SV177 = SY257 )
| ( in @ SV177 @ SY257 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1724,plain,
! [SV1: $i,SV155: $i] :
( ( ( in @ SV155 @ SV1 )
= $false )
| ( ( ~ ( in @ SV155 @ SV155 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1725,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV178 @ SV178 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1595]) ).
thf(1726,plain,
! [SV1: $i,SV179: $i] :
( ( ( ~ ( ~ ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY258: $i] :
( ~ ( in @ SY258 @ ( sK101_SY58 @ SV1 ) )
| ( SV179 = SY258 )
| ( in @ SV179 @ SY258 ) ) ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1727,plain,
! [SV1: $i,SV71: $i] :
( ( ( ~ ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1728,plain,
! [SV1: $i,SV71: $i] :
( ( ( ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
| ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) ) )
= $false )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1729,plain,
! [SV1: $i,SV73: $i] :
( ( ( ~ ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1598]) ).
thf(1730,plain,
! [SV1: $i,SV73: $i] :
( ( ( ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
| ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) ) )
= $false )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1598]) ).
thf(1731,plain,
! [SV103: $i,SV1: $i] :
( ( ( ! [SY219: $i] :
( ~ ( in @ SY219 @ ( sK72_SY58 @ SV1 ) )
| ( SV103 = SY219 )
| ( in @ SV103 @ SY219 ) ) )
= $false )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1732,plain,
! [SV105: $i,SV1: $i] :
( ( ( ! [SY220: $i] :
( ~ ( in @ SY220 @ ( sK73_SY58 @ SV1 ) )
| ( SV105 = SY220 )
| ( in @ SV105 @ SY220 ) ) )
= $false )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1733,plain,
! [SV1: $i,SV127: $i] :
( ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ ( sK84_SY58 @ SV1 ) )
| ( SV127 = SY243 )
| ( in @ SV127 @ SY243 ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1734,plain,
! [SV1: $i,SV129: $i] :
( ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK85_SY58 @ SV1 ) )
| ( SV129 = SY244 )
| ( in @ SV129 @ SY244 ) ) )
= $true )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1735,plain,
! [SV1: $i,SV131: $i] :
( ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ ( sK86_SY58 @ SV1 ) )
| ( SV131 = SY245 )
| ( in @ SV131 @ SY245 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1736,plain,
! [SV1: $i,SV133: $i] :
( ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK87_SY58 @ SV1 ) )
| ( SV133 = SY246 )
| ( in @ SV133 @ SY246 ) ) )
= $true )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1737,plain,
! [SV111: $i,SV1: $i] :
( ( ( ! [SY221: $i] :
( ~ ( in @ SY221 @ ( sK74_SY58 @ SV1 ) )
| ( SV111 = SY221 )
| ( in @ SV111 @ SY221 ) ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1738,plain,
! [SV113: $i,SV1: $i] :
( ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ ( sK75_SY58 @ SV1 ) )
| ( SV113 = SY222 )
| ( in @ SV113 @ SY222 ) ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1739,plain,
! [SV13: $i,SV1: $i,SV142: $i] :
( ( ( in @ SV142 @ SV142 )
= $false )
| ( ( in @ SV142 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY111 @ SV13 @ SV1 ) @ ( sK20_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1740,plain,
! [SV13: $i,SV1: $i,SV143: $i] :
( ( ( in @ SV143 @ SV143 )
= $false )
| ( ( in @ SV143 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( SV13
= ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1741,plain,
! [SV13: $i,SV1: $i,SV144: $i] :
( ( ( in @ SV144 @ SV144 )
= $false )
| ( ( in @ SV144 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV13 @ ( sK20_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV13 @ ( sK92_SY111 @ SV13 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1742,plain,
! [SV15: $i,SV1: $i,SV145: $i] :
( ( ( in @ SV145 @ SV145 )
= $false )
| ( ( in @ SV145 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY112 @ SV15 @ SV1 ) @ ( sK21_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1743,plain,
! [SV15: $i,SV1: $i,SV146: $i] :
( ( ( in @ SV146 @ SV146 )
= $false )
| ( ( in @ SV146 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( SV15
= ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1744,plain,
! [SV15: $i,SV1: $i,SV147: $i] :
( ( ( in @ SV147 @ SV147 )
= $false )
| ( ( in @ SV147 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK9_SY57 @ SV1 ) @ ( sK9_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV15 @ ( sK21_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV15 @ ( sK93_SY112 @ SV15 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1745,plain,
! [SV23: $i,SV1: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV180 @ SV180 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1617]) ).
thf(1746,plain,
! [SV23: $i,SV1: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV181 @ SV181 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1618]) ).
thf(1747,plain,
! [SV23: $i,SV1: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV182 @ SV182 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1748,plain,
! [SV25: $i,SV1: $i,SV183: $i] :
( ( ( ~ ( in @ SV183 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV183 @ SV183 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1620]) ).
thf(1749,plain,
! [SV25: $i,SV1: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV184 @ SV184 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1750,plain,
! [SV25: $i,SV1: $i,SV185: $i] :
( ( ( ~ ( in @ SV185 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV185 @ SV185 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1751,plain,
! [SV39: $i,SV1: $i,SV214: $i] :
( ( ( ~ ( in @ SV214 @ SV1 )
| ~ ( in @ SV214 @ SV214 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1752,plain,
! [SV39: $i,SV1: $i,SV215: $i] :
( ( ( ~ ( in @ SV215 @ SV1 )
| ~ ( in @ SV215 @ SV215 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1753,plain,
! [SV39: $i,SV1: $i,SV216: $i] :
( ( ( ~ ( in @ SV216 @ SV1 )
| ~ ( in @ SV216 @ SV216 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(1754,plain,
! [SV41: $i,SV1: $i,SV217: $i] :
( ( ( ~ ( in @ SV217 @ SV1 )
| ~ ( in @ SV217 @ SV217 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1755,plain,
! [SV41: $i,SV1: $i,SV218: $i] :
( ( ( ~ ( in @ SV218 @ SV1 )
| ~ ( in @ SV218 @ SV218 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1756,plain,
! [SV41: $i,SV1: $i,SV219: $i] :
( ( ( ~ ( in @ SV219 @ SV1 )
| ~ ( in @ SV219 @ SV219 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(1757,plain,
! [SV43: $i,SV1: $i,SV220: $i] :
( ( ( ~ ( in @ SV220 @ SV1 )
| ~ ( in @ SV220 @ SV220 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(1758,plain,
! [SV43: $i,SV1: $i,SV221: $i] :
( ( ( ~ ( in @ SV221 @ SV1 )
| ~ ( in @ SV221 @ SV221 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(1759,plain,
! [SV43: $i,SV1: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ SV1 )
| ~ ( in @ SV222 @ SV222 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(1760,plain,
! [SV45: $i,SV1: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ SV1 )
| ~ ( in @ SV223 @ SV223 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(1761,plain,
! [SV45: $i,SV1: $i,SV224: $i] :
( ( ( ~ ( in @ SV224 @ SV1 )
| ~ ( in @ SV224 @ SV224 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(1762,plain,
! [SV45: $i,SV1: $i,SV225: $i] :
( ( ( ~ ( in @ SV225 @ SV1 )
| ~ ( in @ SV225 @ SV225 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(1763,plain,
! [SV31: $i,SV1: $i,SV186: $i] :
( ( ( ~ ( in @ SV186 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV186 @ SV186 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1764,plain,
! [SV31: $i,SV1: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV187 @ SV187 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1636]) ).
thf(1765,plain,
! [SV31: $i,SV1: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV188 @ SV188 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1766,plain,
! [SV33: $i,SV1: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV189 @ SV189 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1638]) ).
thf(1767,plain,
! [SV33: $i,SV1: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV190 @ SV190 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1639]) ).
thf(1768,plain,
! [SV33: $i,SV1: $i,SV191: $i] :
( ( ( ~ ( in @ SV191 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV191 @ SV191 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1769,plain,
! [SV35: $i,SV1: $i,SV192: $i] :
( ( ( ~ ( in @ SV192 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV192 @ SV192 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1641]) ).
thf(1770,plain,
! [SV35: $i,SV1: $i,SV193: $i] :
( ( ( ~ ( in @ SV193 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV193 @ SV193 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1642]) ).
thf(1771,plain,
! [SV35: $i,SV1: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV194 @ SV194 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1643]) ).
thf(1772,plain,
! [SV37: $i,SV1: $i,SV195: $i] :
( ( ( ~ ( in @ SV195 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV195 @ SV195 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1644]) ).
thf(1773,plain,
! [SV37: $i,SV1: $i,SV196: $i] :
( ( ( ~ ( in @ SV196 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV196 @ SV196 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1645]) ).
thf(1774,plain,
! [SV37: $i,SV1: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV197 @ SV197 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1646]) ).
thf(1775,plain,
! [SV1: $i,SV55: $i] :
( ( ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1776,plain,
! [SV1: $i,SV55: $i] :
( ( ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
= $false )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1777,plain,
! [SV1: $i,SV55: $i] :
( ( ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) )
= $false )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1778,plain,
! [SV1: $i,SV57: $i] :
( ( ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1779,plain,
! [SV1: $i,SV57: $i] :
( ( ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
= $false )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1780,plain,
! [SV1: $i,SV57: $i] :
( ( ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) )
= $false )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1781,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1782,plain,
! [SV1: $i,SV75: $i] :
( ( ( ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
| ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1783,plain,
! [SV1: $i,SV77: $i] :
( ( ( ~ ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1652]) ).
thf(1784,plain,
! [SV1: $i,SV77: $i] :
( ( ( ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
| ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1652]) ).
thf(1785,plain,
! [SV1: $i,SV79: $i] :
( ( ( ~ ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1786,plain,
! [SV1: $i,SV79: $i] :
( ( ( ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
| ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1787,plain,
! [SV1: $i,SV81: $i] :
( ( ( ~ ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1788,plain,
! [SV1: $i,SV81: $i] :
( ( ( ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
| ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1789,plain,
! [SV1: $i,SV63: $i] :
( ( ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1790,plain,
! [SV1: $i,SV63: $i] :
( ( ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1791,plain,
! [SV1: $i,SV63: $i] :
( ( ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1792,plain,
! [SV1: $i,SV65: $i] :
( ( ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1793,plain,
! [SV1: $i,SV65: $i] :
( ( ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1794,plain,
! [SV1: $i,SV65: $i] :
( ( ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1795,plain,
! [SV1: $i,SV67: $i] :
( ( ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1796,plain,
! [SV1: $i,SV67: $i] :
( ( ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
= $false )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1797,plain,
! [SV1: $i,SV67: $i] :
( ( ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) )
= $false )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1798,plain,
! [SV1: $i,SV69: $i] :
( ( ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1799,plain,
! [SV1: $i,SV69: $i] :
( ( ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
= $false )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1800,plain,
! [SV1: $i,SV69: $i] :
( ( ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) )
= $false )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1801,plain,
! [SV1: $i,SV91: $i] :
( ( ( ~ ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) )
| ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
| ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) ) )
= $false )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1663]) ).
thf(1802,plain,
! [SV1: $i,SV93: $i] :
( ( ( ~ ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) )
| ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
| ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) ) )
= $false )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1664]) ).
thf(1803,plain,
! [SV115: $i,SV1: $i] :
( ( ( ! [SY223: $i] :
( ~ ( in @ SY223 @ ( sK76_SY58 @ SV1 ) )
| ( SV115 = SY223 )
| ( in @ SV115 @ SY223 ) ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1804,plain,
! [SV117: $i,SV1: $i] :
( ( ( ! [SY224: $i] :
( ~ ( in @ SY224 @ ( sK77_SY58 @ SV1 ) )
| ( SV117 = SY224 )
| ( in @ SV117 @ SY224 ) ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1805,plain,
! [SV119: $i,SV1: $i] :
( ( ( ! [SY225: $i] :
( ~ ( in @ SY225 @ ( sK78_SY58 @ SV1 ) )
| ( SV119 = SY225 )
| ( in @ SV119 @ SY225 ) ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1806,plain,
! [SV121: $i,SV1: $i] :
( ( ( ! [SY226: $i] :
( ~ ( in @ SY226 @ ( sK79_SY58 @ SV1 ) )
| ( SV121 = SY226 )
| ( in @ SV121 @ SY226 ) ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1807,plain,
! [SV1: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) )
| ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
| ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1669]) ).
thf(1808,plain,
! [SV1: $i,SV101: $i] :
( ( ( ~ ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) )
| ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
| ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1670]) ).
thf(1809,plain,
! [SV1: $i,SV135: $i] :
( ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ ( sK88_SY58 @ SV1 ) )
| ( SV135 = SY247 )
| ( in @ SV135 @ SY247 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1810,plain,
! [SV1: $i,SV137: $i] :
( ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY248: $i] :
( ~ ( in @ SY248 @ ( sK89_SY58 @ SV1 ) )
| ( SV137 = SY248 )
| ( in @ SV137 @ SY248 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1811,plain,
! [SV1: $i,SV148: $i] :
( ( ( in @ SV148 @ SV148 )
= $false )
| ( ( in @ SV148 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK94_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1812,plain,
! [SV1: $i,SV156: $i] :
( ( ( in @ SV156 @ SV1 )
= $false )
| ( ( ~ ( in @ SV156 @ SV156 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1813,plain,
! [SV1: $i,SV157: $i] :
( ( ( ~ ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY58 @ SV1 ) )
| ( SV157 = SY251 )
| ( in @ SV157 @ SY251 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1814,plain,
! [SV1: $i,SV149: $i] :
( ( ( in @ SV149 @ SV149 )
= $false )
| ( ( in @ SV149 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK95_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1815,plain,
! [SV1: $i,SV158: $i] :
( ( ( in @ SV158 @ SV1 )
= $false )
| ( ( ~ ( in @ SV158 @ SV158 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1816,plain,
! [SV1: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
| ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY58 @ SV1 ) )
| ( SV159 = SY252 )
| ( in @ SV159 @ SY252 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1817,plain,
! [SV1: $i,SV160: $i] :
( ( ( in @ SV160 @ SV1 )
= $false )
| ( ( ~ ( in @ SV160 @ SV160 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1818,plain,
! [SV1: $i,SV198: $i] :
( ( ( ~ ( in @ SV198 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV198 @ SV198 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1819,plain,
! [SV1: $i,SV199: $i] :
( ( ( ~ ( ~ ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ ( sK102_SY58 @ SV1 ) )
| ( SV199 = SY259 )
| ( in @ SV199 @ SY259 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1820,plain,
! [SV1: $i,SV161: $i] :
( ( ( in @ SV161 @ SV1 )
= $false )
| ( ( ~ ( in @ SV161 @ SV161 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1821,plain,
! [SV1: $i,SV200: $i] :
( ( ( ~ ( in @ SV200 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV200 @ SV200 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1685]) ).
thf(1822,plain,
! [SV1: $i,SV201: $i] :
( ( ( ~ ( ~ ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY260: $i] :
( ~ ( in @ SY260 @ ( sK103_SY58 @ SV1 ) )
| ( SV201 = SY260 )
| ( in @ SV201 @ SY260 ) ) ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1823,plain,
! [SV1: $i,SV162: $i] :
( ( ( in @ SV162 @ SV1 )
= $false )
| ( ( ~ ( in @ SV162 @ SV162 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1824,plain,
! [SV1: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV202 @ SV202 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1825,plain,
! [SV1: $i,SV203: $i] :
( ( ( ~ ( ~ ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ ( sK104_SY58 @ SV1 ) )
| ( SV203 = SY261 )
| ( in @ SV203 @ SY261 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1826,plain,
! [SV1: $i,SV163: $i] :
( ( ( in @ SV163 @ SV1 )
= $false )
| ( ( ~ ( in @ SV163 @ SV163 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1827,plain,
! [SV1: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV204 @ SV204 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1691]) ).
thf(1828,plain,
! [SV1: $i,SV205: $i] :
( ( ( ~ ( ~ ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY262: $i] :
( ~ ( in @ SY262 @ ( sK105_SY58 @ SV1 ) )
| ( SV205 = SY262 )
| ( in @ SV205 @ SY262 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1829,plain,
! [SV1: $i,SV150: $i] :
( ( ( in @ SV150 @ SV150 )
= $false )
| ( ( in @ SV150 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK96_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1830,plain,
! [SV1: $i,SV164: $i] :
( ( ( in @ SV164 @ SV1 )
= $false )
| ( ( ~ ( in @ SV164 @ SV164 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1831,plain,
! [SV1: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ ( sK96_SY58 @ SV1 ) )
| ( SV165 = SY253 )
| ( in @ SV165 @ SY253 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1832,plain,
! [SV1: $i,SV151: $i] :
( ( ( in @ SV151 @ SV151 )
= $false )
| ( ( in @ SV151 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK97_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1833,plain,
! [SV1: $i,SV166: $i] :
( ( ( in @ SV166 @ SV1 )
= $false )
| ( ( ~ ( in @ SV166 @ SV166 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1834,plain,
! [SV1: $i,SV167: $i] :
( ( ( ~ ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
| ~ ! [SY254: $i] :
( ~ ( in @ SY254 @ ( sK97_SY58 @ SV1 ) )
| ( SV167 = SY254 )
| ( in @ SV167 @ SY254 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1835,plain,
! [SV1: $i,SV139: $i] :
( ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK90_SY58 @ SV1 ) )
| ( SV139 = SY249 )
| ( in @ SV139 @ SY249 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1836,plain,
! [SV1: $i,SV141: $i] :
( ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK91_SY58 @ SV1 ) )
| ( SV141 = SY250 )
| ( in @ SV141 @ SY250 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1837,plain,
! [SV1: $i,SV152: $i] :
( ( ( in @ SV152 @ SV152 )
= $false )
| ( ( in @ SV152 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1838,plain,
! [SV1: $i,SV168: $i] :
( ( ( in @ SV168 @ SV1 )
= $false )
| ( ( ~ ( in @ SV168 @ SV168 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1839,plain,
! [SV1: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ ( sK98_SY58 @ SV1 ) )
| ( SV169 = SY255 )
| ( in @ SV169 @ SY255 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1840,plain,
! [SV1: $i,SV153: $i] :
( ( ( in @ SV153 @ SV153 )
= $false )
| ( ( in @ SV153 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1841,plain,
! [SV1: $i,SV170: $i] :
( ( ( in @ SV170 @ SV1 )
= $false )
| ( ( ~ ( in @ SV170 @ SV170 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1842,plain,
! [SV1: $i,SV171: $i] :
( ( ( ~ ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
| ~ ! [SY256: $i] :
( ~ ( in @ SY256 @ ( sK99_SY58 @ SV1 ) )
| ( SV171 = SY256 )
| ( in @ SV171 @ SY256 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1843,plain,
! [SV1: $i,SV172: $i] :
( ( ( in @ SV172 @ SV1 )
= $false )
| ( ( ~ ( in @ SV172 @ SV172 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1844,plain,
! [SV1: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV206 @ SV206 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1845,plain,
! [SV1: $i,SV207: $i] :
( ( ( ~ ( ~ ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK106_SY58 @ SV1 ) )
| ( SV207 = SY263 )
| ( in @ SV207 @ SY263 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1846,plain,
! [SV1: $i,SV173: $i] :
( ( ( in @ SV173 @ SV1 )
= $false )
| ( ( ~ ( in @ SV173 @ SV173 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1847,plain,
! [SV1: $i,SV208: $i] :
( ( ( ~ ( in @ SV208 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV208 @ SV208 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1848,plain,
! [SV1: $i,SV209: $i] :
( ( ( ~ ( ~ ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK107_SY58 @ SV1 ) )
| ( SV209 = SY264 )
| ( in @ SV209 @ SY264 ) ) ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1849,plain,
! [SV1: $i,SV174: $i] :
( ( ( in @ SV174 @ SV1 )
= $false )
| ( ( ~ ( in @ SV174 @ SV174 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1850,plain,
! [SV1: $i,SV210: $i] :
( ( ( ~ ( in @ SV210 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV210 @ SV210 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1851,plain,
! [SV1: $i,SV211: $i] :
( ( ( ~ ( ~ ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ ( sK108_SY58 @ SV1 ) )
| ( SV211 = SY265 )
| ( in @ SV211 @ SY265 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1852,plain,
! [SV1: $i,SV175: $i] :
( ( ( in @ SV175 @ SV1 )
= $false )
| ( ( ~ ( in @ SV175 @ SV175 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1853,plain,
! [SV1: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV212 @ SV212 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1854,plain,
! [SV1: $i,SV213: $i] :
( ( ( ~ ( ~ ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK109_SY58 @ SV1 ) )
| ( SV213 = SY266 )
| ( in @ SV213 @ SY266 ) ) ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1855,plain,
! [SV1: $i,SV154: $i] :
( ( ( in @ SV154 @ SV154 )
= $false )
| ( ( in @ SV154 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK100_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1856,plain,
! [SV1: $i,SV176: $i] :
( ( ( in @ SV176 @ SV1 )
= $false )
| ( ( ~ ( in @ SV176 @ SV176 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1857,plain,
! [SV1: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ ( sK100_SY58 @ SV1 ) )
| ( SV177 = SY257 )
| ( in @ SV177 @ SY257 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1858,plain,
! [SV1: $i,SV155: $i] :
( ( ( in @ SV155 @ SV155 )
= $false )
| ( ( in @ SV155 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK101_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1859,plain,
! [SV1: $i,SV178: $i] :
( ( ( in @ SV178 @ SV1 )
= $false )
| ( ( ~ ( in @ SV178 @ SV178 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1860,plain,
! [SV1: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
| ~ ! [SY258: $i] :
( ~ ( in @ SY258 @ ( sK101_SY58 @ SV1 ) )
| ( SV179 = SY258 )
| ( in @ SV179 @ SY258 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1861,plain,
! [SV1: $i,SV71: $i] :
( ( ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1727]) ).
thf(1862,plain,
! [SV1: $i,SV71: $i] :
( ( ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
= $false )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1863,plain,
! [SV1: $i,SV71: $i] :
( ( ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) )
= $false )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1864,plain,
! [SV1: $i,SV73: $i] :
( ( ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1865,plain,
! [SV1: $i,SV73: $i] :
( ( ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
= $false )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1866,plain,
! [SV1: $i,SV73: $i] :
( ( ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) )
= $false )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1867,plain,
! [SV1: $i,SV103: $i] :
( ( ( ~ ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) )
| ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
| ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) ) )
= $false )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1731]) ).
thf(1868,plain,
! [SV1: $i,SV105: $i] :
( ( ( ~ ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) )
| ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
| ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) ) )
= $false )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1732]) ).
thf(1869,plain,
! [SV127: $i,SV1: $i] :
( ( ( ! [SY243: $i] :
( ~ ( in @ SY243 @ ( sK84_SY58 @ SV1 ) )
| ( SV127 = SY243 )
| ( in @ SV127 @ SY243 ) ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1870,plain,
! [SV129: $i,SV1: $i] :
( ( ( ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK85_SY58 @ SV1 ) )
| ( SV129 = SY244 )
| ( in @ SV129 @ SY244 ) ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1871,plain,
! [SV131: $i,SV1: $i] :
( ( ( ! [SY245: $i] :
( ~ ( in @ SY245 @ ( sK86_SY58 @ SV1 ) )
| ( SV131 = SY245 )
| ( in @ SV131 @ SY245 ) ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1872,plain,
! [SV133: $i,SV1: $i] :
( ( ( ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK87_SY58 @ SV1 ) )
| ( SV133 = SY246 )
| ( in @ SV133 @ SY246 ) ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1873,plain,
! [SV1: $i,SV111: $i] :
( ( ( ~ ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) )
| ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
| ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1737]) ).
thf(1874,plain,
! [SV1: $i,SV113: $i] :
( ( ( ~ ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) )
| ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
| ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1738]) ).
thf(1875,plain,
! [SV23: $i,SV1: $i,SV180: $i] :
( ( ( in @ SV180 @ SV1 )
= $false )
| ( ( ~ ( in @ SV180 @ SV180 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1876,plain,
! [SV23: $i,SV1: $i,SV181: $i] :
( ( ( in @ SV181 @ SV1 )
= $false )
| ( ( ~ ( in @ SV181 @ SV181 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1877,plain,
! [SV23: $i,SV1: $i,SV182: $i] :
( ( ( in @ SV182 @ SV1 )
= $false )
| ( ( ~ ( in @ SV182 @ SV182 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1878,plain,
! [SV25: $i,SV1: $i,SV183: $i] :
( ( ( in @ SV183 @ SV1 )
= $false )
| ( ( ~ ( in @ SV183 @ SV183 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1879,plain,
! [SV25: $i,SV1: $i,SV184: $i] :
( ( ( in @ SV184 @ SV1 )
= $false )
| ( ( ~ ( in @ SV184 @ SV184 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(1880,plain,
! [SV25: $i,SV1: $i,SV185: $i] :
( ( ( in @ SV185 @ SV1 )
= $false )
| ( ( ~ ( in @ SV185 @ SV185 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1881,plain,
! [SV39: $i,SV1: $i,SV214: $i] :
( ( ( ~ ( in @ SV214 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV214 @ SV214 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1751]) ).
thf(1882,plain,
! [SV39: $i,SV1: $i,SV215: $i] :
( ( ( ~ ( in @ SV215 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV215 @ SV215 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1883,plain,
! [SV39: $i,SV1: $i,SV216: $i] :
( ( ( ~ ( in @ SV216 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV216 @ SV216 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1884,plain,
! [SV41: $i,SV1: $i,SV217: $i] :
( ( ( ~ ( in @ SV217 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV217 @ SV217 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1754]) ).
thf(1885,plain,
! [SV41: $i,SV1: $i,SV218: $i] :
( ( ( ~ ( in @ SV218 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV218 @ SV218 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1886,plain,
! [SV41: $i,SV1: $i,SV219: $i] :
( ( ( ~ ( in @ SV219 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV219 @ SV219 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1887,plain,
! [SV43: $i,SV1: $i,SV220: $i] :
( ( ( ~ ( in @ SV220 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV220 @ SV220 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1888,plain,
! [SV43: $i,SV1: $i,SV221: $i] :
( ( ( ~ ( in @ SV221 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV221 @ SV221 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1758]) ).
thf(1889,plain,
! [SV43: $i,SV1: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV222 @ SV222 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1759]) ).
thf(1890,plain,
! [SV45: $i,SV1: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV223 @ SV223 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1760]) ).
thf(1891,plain,
! [SV45: $i,SV1: $i,SV224: $i] :
( ( ( ~ ( in @ SV224 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV224 @ SV224 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1892,plain,
! [SV45: $i,SV1: $i,SV225: $i] :
( ( ( ~ ( in @ SV225 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV225 @ SV225 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(1893,plain,
! [SV31: $i,SV1: $i,SV186: $i] :
( ( ( in @ SV186 @ SV1 )
= $false )
| ( ( ~ ( in @ SV186 @ SV186 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1763]) ).
thf(1894,plain,
! [SV31: $i,SV1: $i,SV187: $i] :
( ( ( in @ SV187 @ SV1 )
= $false )
| ( ( ~ ( in @ SV187 @ SV187 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1764]) ).
thf(1895,plain,
! [SV31: $i,SV1: $i,SV188: $i] :
( ( ( in @ SV188 @ SV1 )
= $false )
| ( ( ~ ( in @ SV188 @ SV188 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1765]) ).
thf(1896,plain,
! [SV33: $i,SV1: $i,SV189: $i] :
( ( ( in @ SV189 @ SV1 )
= $false )
| ( ( ~ ( in @ SV189 @ SV189 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1766]) ).
thf(1897,plain,
! [SV33: $i,SV1: $i,SV190: $i] :
( ( ( in @ SV190 @ SV1 )
= $false )
| ( ( ~ ( in @ SV190 @ SV190 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1898,plain,
! [SV33: $i,SV1: $i,SV191: $i] :
( ( ( in @ SV191 @ SV1 )
= $false )
| ( ( ~ ( in @ SV191 @ SV191 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1899,plain,
! [SV35: $i,SV1: $i,SV192: $i] :
( ( ( in @ SV192 @ SV1 )
= $false )
| ( ( ~ ( in @ SV192 @ SV192 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1900,plain,
! [SV35: $i,SV1: $i,SV193: $i] :
( ( ( in @ SV193 @ SV1 )
= $false )
| ( ( ~ ( in @ SV193 @ SV193 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1901,plain,
! [SV35: $i,SV1: $i,SV194: $i] :
( ( ( in @ SV194 @ SV1 )
= $false )
| ( ( ~ ( in @ SV194 @ SV194 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1902,plain,
! [SV37: $i,SV1: $i,SV195: $i] :
( ( ( in @ SV195 @ SV1 )
= $false )
| ( ( ~ ( in @ SV195 @ SV195 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(1903,plain,
! [SV37: $i,SV1: $i,SV196: $i] :
( ( ( in @ SV196 @ SV1 )
= $false )
| ( ( ~ ( in @ SV196 @ SV196 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(1904,plain,
! [SV37: $i,SV1: $i,SV197: $i] :
( ( ( in @ SV197 @ SV1 )
= $false )
| ( ( ~ ( in @ SV197 @ SV197 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1905,plain,
! [SV55: $i,SV1: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV1 )
| ~ ( in @ SV226 @ SV226 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(1906,plain,
! [SV55: $i,SV1: $i,SV227: $i] :
( ( ( ~ ( in @ SV227 @ SV1 )
| ~ ( in @ SV227 @ SV227 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(1907,plain,
! [SV55: $i,SV1: $i,SV228: $i] :
( ( ( ~ ( in @ SV228 @ SV1 )
| ~ ( in @ SV228 @ SV228 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(1908,plain,
! [SV57: $i,SV1: $i,SV229: $i] :
( ( ( ~ ( in @ SV229 @ SV1 )
| ~ ( in @ SV229 @ SV229 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(1909,plain,
! [SV57: $i,SV1: $i,SV230: $i] :
( ( ( ~ ( in @ SV230 @ SV1 )
| ~ ( in @ SV230 @ SV230 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(1910,plain,
! [SV57: $i,SV1: $i,SV231: $i] :
( ( ( ~ ( in @ SV231 @ SV1 )
| ~ ( in @ SV231 @ SV231 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(1911,plain,
! [SV1: $i,SV75: $i] :
( ( ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1912,plain,
! [SV1: $i,SV75: $i] :
( ( ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1913,plain,
! [SV1: $i,SV75: $i] :
( ( ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1914,plain,
! [SV1: $i,SV77: $i] :
( ( ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1915,plain,
! [SV1: $i,SV77: $i] :
( ( ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1916,plain,
! [SV1: $i,SV77: $i] :
( ( ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1917,plain,
! [SV1: $i,SV79: $i] :
( ( ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1918,plain,
! [SV1: $i,SV79: $i] :
( ( ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1786]) ).
thf(1919,plain,
! [SV1: $i,SV79: $i] :
( ( ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1786]) ).
thf(1920,plain,
! [SV1: $i,SV81: $i] :
( ( ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1921,plain,
! [SV1: $i,SV81: $i] :
( ( ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1788]) ).
thf(1922,plain,
! [SV1: $i,SV81: $i] :
( ( ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1788]) ).
thf(1923,plain,
! [SV63: $i,SV1: $i,SV232: $i] :
( ( ( ~ ( in @ SV232 @ SV1 )
| ~ ( in @ SV232 @ SV232 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(1924,plain,
! [SV63: $i,SV1: $i,SV233: $i] :
( ( ( ~ ( in @ SV233 @ SV1 )
| ~ ( in @ SV233 @ SV233 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(1925,plain,
! [SV63: $i,SV1: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ SV1 )
| ~ ( in @ SV234 @ SV234 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(1926,plain,
! [SV65: $i,SV1: $i,SV235: $i] :
( ( ( ~ ( in @ SV235 @ SV1 )
| ~ ( in @ SV235 @ SV235 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(1927,plain,
! [SV65: $i,SV1: $i,SV236: $i] :
( ( ( ~ ( in @ SV236 @ SV1 )
| ~ ( in @ SV236 @ SV236 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(1928,plain,
! [SV65: $i,SV1: $i,SV237: $i] :
( ( ( ~ ( in @ SV237 @ SV1 )
| ~ ( in @ SV237 @ SV237 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(1929,plain,
! [SV67: $i,SV1: $i,SV238: $i] :
( ( ( ~ ( in @ SV238 @ SV1 )
| ~ ( in @ SV238 @ SV238 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(1930,plain,
! [SV67: $i,SV1: $i,SV239: $i] :
( ( ( ~ ( in @ SV239 @ SV1 )
| ~ ( in @ SV239 @ SV239 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(1931,plain,
! [SV67: $i,SV1: $i,SV240: $i] :
( ( ( ~ ( in @ SV240 @ SV1 )
| ~ ( in @ SV240 @ SV240 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(1932,plain,
! [SV69: $i,SV1: $i,SV241: $i] :
( ( ( ~ ( in @ SV241 @ SV1 )
| ~ ( in @ SV241 @ SV241 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(1933,plain,
! [SV69: $i,SV1: $i,SV242: $i] :
( ( ( ~ ( in @ SV242 @ SV1 )
| ~ ( in @ SV242 @ SV242 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(1934,plain,
! [SV69: $i,SV1: $i,SV243: $i] :
( ( ( ~ ( in @ SV243 @ SV1 )
| ~ ( in @ SV243 @ SV243 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(1935,plain,
! [SV1: $i,SV91: $i] :
( ( ( ~ ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(1936,plain,
! [SV1: $i,SV91: $i] :
( ( ( ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
| ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) ) )
= $false )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(1937,plain,
! [SV1: $i,SV93: $i] :
( ( ( ~ ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1802]) ).
thf(1938,plain,
! [SV1: $i,SV93: $i] :
( ( ( ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
| ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) ) )
= $false )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1802]) ).
thf(1939,plain,
! [SV1: $i,SV115: $i] :
( ( ( ~ ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) )
| ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
| ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1803]) ).
thf(1940,plain,
! [SV1: $i,SV117: $i] :
( ( ( ~ ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) )
| ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
| ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1804]) ).
thf(1941,plain,
! [SV1: $i,SV119: $i] :
( ( ( ~ ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) )
| ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
| ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1805]) ).
thf(1942,plain,
! [SV1: $i,SV121: $i] :
( ( ( ~ ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) )
| ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
| ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1806]) ).
thf(1943,plain,
! [SV1: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1807]) ).
thf(1944,plain,
! [SV1: $i,SV99: $i] :
( ( ( ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
| ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1807]) ).
thf(1945,plain,
! [SV1: $i,SV101: $i] :
( ( ( ~ ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1946,plain,
! [SV1: $i,SV101: $i] :
( ( ( ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
| ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1947,plain,
! [SV135: $i,SV1: $i] :
( ( ( ! [SY247: $i] :
( ~ ( in @ SY247 @ ( sK88_SY58 @ SV1 ) )
| ( SV135 = SY247 )
| ( in @ SV135 @ SY247 ) ) )
= $false )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1948,plain,
! [SV137: $i,SV1: $i] :
( ( ( ! [SY248: $i] :
( ~ ( in @ SY248 @ ( sK89_SY58 @ SV1 ) )
| ( SV137 = SY248 )
| ( in @ SV137 @ SY248 ) ) )
= $false )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1949,plain,
! [SV1: $i,SV156: $i] :
( ( ( in @ SV156 @ SV156 )
= $false )
| ( ( in @ SV156 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1950,plain,
! [SV1: $i,SV157: $i] :
( ( ( ~ ( in @ SV157 @ ( sK94_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY58 @ SV1 ) )
| ( SV157 = SY251 )
| ( in @ SV157 @ SY251 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1813]) ).
thf(1951,plain,
! [SV1: $i,SV158: $i] :
( ( ( in @ SV158 @ SV158 )
= $false )
| ( ( in @ SV158 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(1952,plain,
! [SV1: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ ( sK95_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY58 @ SV1 ) )
| ( SV159 = SY252 )
| ( in @ SV159 @ SY252 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1816]) ).
thf(1953,plain,
! [SV1: $i,SV160: $i] :
( ( ( in @ SV160 @ SV160 )
= $false )
| ( ( in @ SV160 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1954,plain,
! [SV1: $i,SV198: $i] :
( ( ( in @ SV198 @ SV1 )
= $false )
| ( ( ~ ( in @ SV198 @ SV198 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1955,plain,
! [SV1: $i,SV199: $i] :
( ( ( ~ ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ ( sK102_SY58 @ SV1 ) )
| ( SV199 = SY259 )
| ( in @ SV199 @ SY259 ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1819]) ).
thf(1956,plain,
! [SV1: $i,SV161: $i] :
( ( ( in @ SV161 @ SV161 )
= $false )
| ( ( in @ SV161 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1957,plain,
! [SV1: $i,SV200: $i] :
( ( ( in @ SV200 @ SV1 )
= $false )
| ( ( ~ ( in @ SV200 @ SV200 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1958,plain,
! [SV1: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
| ~ ! [SY260: $i] :
( ~ ( in @ SY260 @ ( sK103_SY58 @ SV1 ) )
| ( SV201 = SY260 )
| ( in @ SV201 @ SY260 ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(1959,plain,
! [SV1: $i,SV162: $i] :
( ( ( in @ SV162 @ SV162 )
= $false )
| ( ( in @ SV162 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK104_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1960,plain,
! [SV1: $i,SV202: $i] :
( ( ( in @ SV202 @ SV1 )
= $false )
| ( ( ~ ( in @ SV202 @ SV202 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1961,plain,
! [SV1: $i,SV203: $i] :
( ( ( ~ ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ ( sK104_SY58 @ SV1 ) )
| ( SV203 = SY261 )
| ( in @ SV203 @ SY261 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1825]) ).
thf(1962,plain,
! [SV1: $i,SV163: $i] :
( ( ( in @ SV163 @ SV163 )
= $false )
| ( ( in @ SV163 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK105_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1963,plain,
! [SV1: $i,SV204: $i] :
( ( ( in @ SV204 @ SV1 )
= $false )
| ( ( ~ ( in @ SV204 @ SV204 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1964,plain,
! [SV1: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
| ~ ! [SY262: $i] :
( ~ ( in @ SY262 @ ( sK105_SY58 @ SV1 ) )
| ( SV205 = SY262 )
| ( in @ SV205 @ SY262 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1828]) ).
thf(1965,plain,
! [SV1: $i,SV164: $i] :
( ( ( in @ SV164 @ SV164 )
= $false )
| ( ( in @ SV164 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(1966,plain,
! [SV1: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ ( sK96_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ ( sK96_SY58 @ SV1 ) )
| ( SV165 = SY253 )
| ( in @ SV165 @ SY253 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1967,plain,
! [SV1: $i,SV166: $i] :
( ( ( in @ SV166 @ SV166 )
= $false )
| ( ( in @ SV166 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(1968,plain,
! [SV1: $i,SV167: $i] :
( ( ( ~ ( in @ SV167 @ ( sK97_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY254: $i] :
( ~ ( in @ SY254 @ ( sK97_SY58 @ SV1 ) )
| ( SV167 = SY254 )
| ( in @ SV167 @ SY254 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1834]) ).
thf(1969,plain,
! [SV139: $i,SV1: $i] :
( ( ( ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK90_SY58 @ SV1 ) )
| ( SV139 = SY249 )
| ( in @ SV139 @ SY249 ) ) )
= $false )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(1970,plain,
! [SV141: $i,SV1: $i] :
( ( ( ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK91_SY58 @ SV1 ) )
| ( SV141 = SY250 )
| ( in @ SV141 @ SY250 ) ) )
= $false )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1971,plain,
! [SV1: $i,SV168: $i] :
( ( ( in @ SV168 @ SV168 )
= $false )
| ( ( in @ SV168 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1972,plain,
! [SV1: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ ( sK98_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ ( sK98_SY58 @ SV1 ) )
| ( SV169 = SY255 )
| ( in @ SV169 @ SY255 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1839]) ).
thf(1973,plain,
! [SV1: $i,SV170: $i] :
( ( ( in @ SV170 @ SV170 )
= $false )
| ( ( in @ SV170 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( nonempty @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1974,plain,
! [SV1: $i,SV171: $i] :
( ( ( ~ ( in @ SV171 @ ( sK99_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY256: $i] :
( ~ ( in @ SY256 @ ( sK99_SY58 @ SV1 ) )
| ( SV171 = SY256 )
| ( in @ SV171 @ SY256 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1842]) ).
thf(1975,plain,
! [SV1: $i,SV172: $i] :
( ( ( in @ SV172 @ SV172 )
= $false )
| ( ( in @ SV172 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK106_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1976,plain,
! [SV1: $i,SV206: $i] :
( ( ( in @ SV206 @ SV1 )
= $false )
| ( ( ~ ( in @ SV206 @ SV206 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(1977,plain,
! [SV1: $i,SV207: $i] :
( ( ( ~ ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK106_SY58 @ SV1 ) )
| ( SV207 = SY263 )
| ( in @ SV207 @ SY263 ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(1978,plain,
! [SV1: $i,SV173: $i] :
( ( ( in @ SV173 @ SV173 )
= $false )
| ( ( in @ SV173 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK107_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1979,plain,
! [SV1: $i,SV208: $i] :
( ( ( in @ SV208 @ SV1 )
= $false )
| ( ( ~ ( in @ SV208 @ SV208 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1980,plain,
! [SV1: $i,SV209: $i] :
( ( ( ~ ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK107_SY58 @ SV1 ) )
| ( SV209 = SY264 )
| ( in @ SV209 @ SY264 ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1981,plain,
! [SV1: $i,SV174: $i] :
( ( ( in @ SV174 @ SV174 )
= $false )
| ( ( in @ SV174 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK108_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1982,plain,
! [SV1: $i,SV210: $i] :
( ( ( in @ SV210 @ SV1 )
= $false )
| ( ( ~ ( in @ SV210 @ SV210 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1983,plain,
! [SV1: $i,SV211: $i] :
( ( ( ~ ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
| ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ ( sK108_SY58 @ SV1 ) )
| ( SV211 = SY265 )
| ( in @ SV211 @ SY265 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1984,plain,
! [SV1: $i,SV175: $i] :
( ( ( in @ SV175 @ SV175 )
= $false )
| ( ( in @ SV175 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK109_SY58 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1985,plain,
! [SV1: $i,SV212: $i] :
( ( ( in @ SV212 @ SV1 )
= $false )
| ( ( ~ ( in @ SV212 @ SV212 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1986,plain,
! [SV1: $i,SV213: $i] :
( ( ( ~ ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK109_SY58 @ SV1 ) )
| ( SV213 = SY266 )
| ( in @ SV213 @ SY266 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1987,plain,
! [SV1: $i,SV176: $i] :
( ( ( in @ SV176 @ SV176 )
= $false )
| ( ( in @ SV176 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(1988,plain,
! [SV1: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ ( sK100_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ ( sK100_SY58 @ SV1 ) )
| ( SV177 = SY257 )
| ( in @ SV177 @ SY257 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1857]) ).
thf(1989,plain,
! [SV1: $i,SV178: $i] :
( ( ( in @ SV178 @ SV178 )
= $false )
| ( ( in @ SV178 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1990,plain,
! [SV1: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ ( sK101_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY258: $i] :
( ~ ( in @ SY258 @ ( sK101_SY58 @ SV1 ) )
| ( SV179 = SY258 )
| ( in @ SV179 @ SY258 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1860]) ).
thf(1991,plain,
! [SV71: $i,SV1: $i,SV244: $i] :
( ( ( ~ ( in @ SV244 @ SV1 )
| ~ ( in @ SV244 @ SV244 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(1992,plain,
! [SV71: $i,SV1: $i,SV245: $i] :
( ( ( ~ ( in @ SV245 @ SV1 )
| ~ ( in @ SV245 @ SV245 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(1993,plain,
! [SV71: $i,SV1: $i,SV246: $i] :
( ( ( ~ ( in @ SV246 @ SV1 )
| ~ ( in @ SV246 @ SV246 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(1994,plain,
! [SV73: $i,SV1: $i,SV247: $i] :
( ( ( ~ ( in @ SV247 @ SV1 )
| ~ ( in @ SV247 @ SV247 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(1995,plain,
! [SV73: $i,SV1: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ SV1 )
| ~ ( in @ SV248 @ SV248 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(1996,plain,
! [SV73: $i,SV1: $i,SV249: $i] :
( ( ( ~ ( in @ SV249 @ SV1 )
| ~ ( in @ SV249 @ SV249 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(1997,plain,
! [SV1: $i,SV103: $i] :
( ( ( ~ ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1998,plain,
! [SV1: $i,SV103: $i] :
( ( ( ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
| ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) ) )
= $false )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1999,plain,
! [SV1: $i,SV105: $i] :
( ( ( ~ ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(2000,plain,
! [SV1: $i,SV105: $i] :
( ( ( ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
| ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) ) )
= $false )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(2001,plain,
! [SV1: $i,SV127: $i] :
( ( ( ~ ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) )
| ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
| ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1869]) ).
thf(2002,plain,
! [SV1: $i,SV129: $i] :
( ( ( ~ ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) )
| ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
| ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1870]) ).
thf(2003,plain,
! [SV1: $i,SV131: $i] :
( ( ( ~ ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) )
| ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
| ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1871]) ).
thf(2004,plain,
! [SV1: $i,SV133: $i] :
( ( ( ~ ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) )
| ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
| ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1872]) ).
thf(2005,plain,
! [SV1: $i,SV111: $i] :
( ( ( ~ ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(2006,plain,
! [SV1: $i,SV111: $i] :
( ( ( ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
| ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(2007,plain,
! [SV1: $i,SV113: $i] :
( ( ( ~ ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(2008,plain,
! [SV1: $i,SV113: $i] :
( ( ( ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
| ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(2009,plain,
! [SV23: $i,SV1: $i,SV180: $i] :
( ( ( in @ SV180 @ SV180 )
= $false )
| ( ( in @ SV180 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK110_SY137 @ SV23 @ SV1 ) @ ( sK30_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(2010,plain,
! [SV23: $i,SV1: $i,SV181: $i] :
( ( ( in @ SV181 @ SV181 )
= $false )
| ( ( in @ SV181 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( SV23
= ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(2011,plain,
! [SV23: $i,SV1: $i,SV182: $i] :
( ( ( in @ SV182 @ SV182 )
= $false )
| ( ( in @ SV182 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV23 @ ( sK30_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV23 @ ( sK110_SY137 @ SV23 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1877]) ).
thf(2012,plain,
! [SV25: $i,SV1: $i,SV183: $i] :
( ( ( in @ SV183 @ SV183 )
= $false )
| ( ( in @ SV183 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK111_SY138 @ SV25 @ SV1 ) @ ( sK31_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(2013,plain,
! [SV25: $i,SV1: $i,SV184: $i] :
( ( ( in @ SV184 @ SV184 )
= $false )
| ( ( in @ SV184 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( SV25
= ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(2014,plain,
! [SV25: $i,SV1: $i,SV185: $i] :
( ( ( in @ SV185 @ SV185 )
= $false )
| ( ( in @ SV185 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK13_SY57 @ SV1 ) @ ( sK13_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV25 @ ( sK31_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV25 @ ( sK111_SY138 @ SV25 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(2015,plain,
! [SV39: $i,SV1: $i,SV214: $i] :
( ( ( in @ SV214 @ SV1 )
= $false )
| ( ( ~ ( in @ SV214 @ SV214 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(2016,plain,
! [SV39: $i,SV1: $i,SV215: $i] :
( ( ( in @ SV215 @ SV1 )
= $false )
| ( ( ~ ( in @ SV215 @ SV215 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(2017,plain,
! [SV39: $i,SV1: $i,SV216: $i] :
( ( ( in @ SV216 @ SV1 )
= $false )
| ( ( ~ ( in @ SV216 @ SV216 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2018,plain,
! [SV41: $i,SV1: $i,SV217: $i] :
( ( ( in @ SV217 @ SV1 )
= $false )
| ( ( ~ ( in @ SV217 @ SV217 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(2019,plain,
! [SV41: $i,SV1: $i,SV218: $i] :
( ( ( in @ SV218 @ SV1 )
= $false )
| ( ( ~ ( in @ SV218 @ SV218 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(2020,plain,
! [SV41: $i,SV1: $i,SV219: $i] :
( ( ( in @ SV219 @ SV1 )
= $false )
| ( ( ~ ( in @ SV219 @ SV219 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(2021,plain,
! [SV43: $i,SV1: $i,SV220: $i] :
( ( ( in @ SV220 @ SV1 )
= $false )
| ( ( ~ ( in @ SV220 @ SV220 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(2022,plain,
! [SV43: $i,SV1: $i,SV221: $i] :
( ( ( in @ SV221 @ SV1 )
= $false )
| ( ( ~ ( in @ SV221 @ SV221 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(2023,plain,
! [SV43: $i,SV1: $i,SV222: $i] :
( ( ( in @ SV222 @ SV1 )
= $false )
| ( ( ~ ( in @ SV222 @ SV222 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(2024,plain,
! [SV45: $i,SV1: $i,SV223: $i] :
( ( ( in @ SV223 @ SV1 )
= $false )
| ( ( ~ ( in @ SV223 @ SV223 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1890]) ).
thf(2025,plain,
! [SV45: $i,SV1: $i,SV224: $i] :
( ( ( in @ SV224 @ SV1 )
= $false )
| ( ( ~ ( in @ SV224 @ SV224 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(2026,plain,
! [SV45: $i,SV1: $i,SV225: $i] :
( ( ( in @ SV225 @ SV1 )
= $false )
| ( ( ~ ( in @ SV225 @ SV225 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(2027,plain,
! [SV31: $i,SV1: $i,SV186: $i] :
( ( ( in @ SV186 @ SV186 )
= $false )
| ( ( in @ SV186 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY139 @ SV31 @ SV1 ) @ ( sK32_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(2028,plain,
! [SV31: $i,SV1: $i,SV187: $i] :
( ( ( in @ SV187 @ SV187 )
= $false )
| ( ( in @ SV187 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( SV31
= ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(2029,plain,
! [SV31: $i,SV1: $i,SV188: $i] :
( ( ( in @ SV188 @ SV188 )
= $false )
| ( ( in @ SV188 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK32_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV31 @ ( sK112_SY139 @ SV31 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(2030,plain,
! [SV33: $i,SV1: $i,SV189: $i] :
( ( ( in @ SV189 @ SV189 )
= $false )
| ( ( in @ SV189 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY140 @ SV33 @ SV1 ) @ ( sK33_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(2031,plain,
! [SV33: $i,SV1: $i,SV190: $i] :
( ( ( in @ SV190 @ SV190 )
= $false )
| ( ( in @ SV190 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( SV33
= ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(2032,plain,
! [SV33: $i,SV1: $i,SV191: $i] :
( ( ( in @ SV191 @ SV191 )
= $false )
| ( ( in @ SV191 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK14_SY57 @ SV1 ) @ ( sK14_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY81 @ SV1 ) @ ( sK5_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK33_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV33 @ ( sK113_SY140 @ SV33 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1898]) ).
thf(2033,plain,
! [SV35: $i,SV1: $i,SV192: $i] :
( ( ( in @ SV192 @ SV192 )
= $false )
| ( ( in @ SV192 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK114_SY141 @ SV35 @ SV1 ) @ ( sK34_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1899]) ).
thf(2034,plain,
! [SV35: $i,SV1: $i,SV193: $i] :
( ( ( in @ SV193 @ SV193 )
= $false )
| ( ( in @ SV193 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( SV35
= ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(2035,plain,
! [SV35: $i,SV1: $i,SV194: $i] :
( ( ( in @ SV194 @ SV194 )
= $false )
| ( ( in @ SV194 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV35 @ ( sK34_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV35 @ ( sK114_SY141 @ SV35 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(2036,plain,
! [SV37: $i,SV1: $i,SV195: $i] :
( ( ( in @ SV195 @ SV195 )
= $false )
| ( ( in @ SV195 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK115_SY142 @ SV37 @ SV1 ) @ ( sK35_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(2037,plain,
! [SV37: $i,SV1: $i,SV196: $i] :
( ( ( in @ SV196 @ SV196 )
= $false )
| ( ( in @ SV196 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( SV37
= ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(2038,plain,
! [SV37: $i,SV1: $i,SV197: $i] :
( ( ( in @ SV197 @ SV197 )
= $false )
| ( ( in @ SV197 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK15_SY57 @ SV1 ) @ ( sK15_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV37 @ ( sK35_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV37 @ ( sK115_SY142 @ SV37 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(2039,plain,
! [SV55: $i,SV1: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV226 @ SV226 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1905]) ).
thf(2040,plain,
! [SV55: $i,SV1: $i,SV227: $i] :
( ( ( ~ ( in @ SV227 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV227 @ SV227 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1906]) ).
thf(2041,plain,
! [SV55: $i,SV1: $i,SV228: $i] :
( ( ( ~ ( in @ SV228 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV228 @ SV228 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1907]) ).
thf(2042,plain,
! [SV57: $i,SV1: $i,SV229: $i] :
( ( ( ~ ( in @ SV229 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV229 @ SV229 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1908]) ).
thf(2043,plain,
! [SV57: $i,SV1: $i,SV230: $i] :
( ( ( ~ ( in @ SV230 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV230 @ SV230 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1909]) ).
thf(2044,plain,
! [SV57: $i,SV1: $i,SV231: $i] :
( ( ( ~ ( in @ SV231 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV231 @ SV231 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1910]) ).
thf(2045,plain,
! [SV75: $i,SV1: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ SV1 )
| ~ ( in @ SV250 @ SV250 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2046,plain,
! [SV75: $i,SV1: $i,SV251: $i] :
( ( ( ~ ( in @ SV251 @ SV1 )
| ~ ( in @ SV251 @ SV251 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2047,plain,
! [SV75: $i,SV1: $i,SV252: $i] :
( ( ( ~ ( in @ SV252 @ SV1 )
| ~ ( in @ SV252 @ SV252 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2048,plain,
! [SV77: $i,SV1: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV1 )
| ~ ( in @ SV253 @ SV253 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2049,plain,
! [SV77: $i,SV1: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ SV1 )
| ~ ( in @ SV254 @ SV254 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(2050,plain,
! [SV77: $i,SV1: $i,SV255: $i] :
( ( ( ~ ( in @ SV255 @ SV1 )
| ~ ( in @ SV255 @ SV255 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(2051,plain,
! [SV79: $i,SV1: $i,SV256: $i] :
( ( ( ~ ( in @ SV256 @ SV1 )
| ~ ( in @ SV256 @ SV256 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2052,plain,
! [SV79: $i,SV1: $i,SV257: $i] :
( ( ( ~ ( in @ SV257 @ SV1 )
| ~ ( in @ SV257 @ SV257 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2053,plain,
! [SV79: $i,SV1: $i,SV258: $i] :
( ( ( ~ ( in @ SV258 @ SV1 )
| ~ ( in @ SV258 @ SV258 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1919]) ).
thf(2054,plain,
! [SV81: $i,SV1: $i,SV259: $i] :
( ( ( ~ ( in @ SV259 @ SV1 )
| ~ ( in @ SV259 @ SV259 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2055,plain,
! [SV81: $i,SV1: $i,SV260: $i] :
( ( ( ~ ( in @ SV260 @ SV1 )
| ~ ( in @ SV260 @ SV260 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2056,plain,
! [SV81: $i,SV1: $i,SV261: $i] :
( ( ( ~ ( in @ SV261 @ SV1 )
| ~ ( in @ SV261 @ SV261 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2057,plain,
! [SV63: $i,SV1: $i,SV232: $i] :
( ( ( ~ ( in @ SV232 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV232 @ SV232 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(2058,plain,
! [SV63: $i,SV1: $i,SV233: $i] :
( ( ( ~ ( in @ SV233 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV233 @ SV233 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1924]) ).
thf(2059,plain,
! [SV63: $i,SV1: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV234 @ SV234 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2060,plain,
! [SV65: $i,SV1: $i,SV235: $i] :
( ( ( ~ ( in @ SV235 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV235 @ SV235 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1926]) ).
thf(2061,plain,
! [SV65: $i,SV1: $i,SV236: $i] :
( ( ( ~ ( in @ SV236 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV236 @ SV236 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1927]) ).
thf(2062,plain,
! [SV65: $i,SV1: $i,SV237: $i] :
( ( ( ~ ( in @ SV237 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV237 @ SV237 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1928]) ).
thf(2063,plain,
! [SV67: $i,SV1: $i,SV238: $i] :
( ( ( ~ ( in @ SV238 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV238 @ SV238 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1929]) ).
thf(2064,plain,
! [SV67: $i,SV1: $i,SV239: $i] :
( ( ( ~ ( in @ SV239 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV239 @ SV239 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1930]) ).
thf(2065,plain,
! [SV67: $i,SV1: $i,SV240: $i] :
( ( ( ~ ( in @ SV240 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV240 @ SV240 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1931]) ).
thf(2066,plain,
! [SV69: $i,SV1: $i,SV241: $i] :
( ( ( ~ ( in @ SV241 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV241 @ SV241 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1932]) ).
thf(2067,plain,
! [SV69: $i,SV1: $i,SV242: $i] :
( ( ( ~ ( in @ SV242 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV242 @ SV242 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1933]) ).
thf(2068,plain,
! [SV69: $i,SV1: $i,SV243: $i] :
( ( ( ~ ( in @ SV243 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV243 @ SV243 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1934]) ).
thf(2069,plain,
! [SV1: $i,SV91: $i] :
( ( ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(2070,plain,
! [SV1: $i,SV91: $i] :
( ( ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
= $false )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2071,plain,
! [SV1: $i,SV91: $i] :
( ( ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) )
= $false )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2072,plain,
! [SV1: $i,SV93: $i] :
( ( ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(2073,plain,
! [SV1: $i,SV93: $i] :
( ( ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
= $false )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2074,plain,
! [SV1: $i,SV93: $i] :
( ( ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) )
= $false )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2075,plain,
! [SV1: $i,SV115: $i] :
( ( ( ~ ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(2076,plain,
! [SV1: $i,SV115: $i] :
( ( ( ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
| ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(2077,plain,
! [SV1: $i,SV117: $i] :
( ( ( ~ ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(2078,plain,
! [SV1: $i,SV117: $i] :
( ( ( ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
| ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(2079,plain,
! [SV1: $i,SV119: $i] :
( ( ( ~ ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(2080,plain,
! [SV1: $i,SV119: $i] :
( ( ( ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
| ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(2081,plain,
! [SV1: $i,SV121: $i] :
( ( ( ~ ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2082,plain,
! [SV1: $i,SV121: $i] :
( ( ( ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
| ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2083,plain,
! [SV1: $i,SV99: $i] :
( ( ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2084,plain,
! [SV1: $i,SV99: $i] :
( ( ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1944]) ).
thf(2085,plain,
! [SV1: $i,SV99: $i] :
( ( ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1944]) ).
thf(2086,plain,
! [SV1: $i,SV101: $i] :
( ( ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(2087,plain,
! [SV1: $i,SV101: $i] :
( ( ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2088,plain,
! [SV1: $i,SV101: $i] :
( ( ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2089,plain,
! [SV1: $i,SV135: $i] :
( ( ( ~ ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) )
| ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
| ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) ) )
= $false )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1947]) ).
thf(2090,plain,
! [SV1: $i,SV137: $i] :
( ( ( ~ ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) )
| ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
| ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) ) )
= $false )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1948]) ).
thf(2091,plain,
! [SV1: $i,SV157: $i] :
( ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY58 @ SV1 ) )
| ( SV157 = SY251 )
| ( in @ SV157 @ SY251 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(2092,plain,
! [SV1: $i,SV159: $i] :
( ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY58 @ SV1 ) )
| ( SV159 = SY252 )
| ( in @ SV159 @ SY252 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1952]) ).
thf(2093,plain,
! [SV1: $i,SV198: $i] :
( ( ( in @ SV198 @ SV198 )
= $false )
| ( ( in @ SV198 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1954]) ).
thf(2094,plain,
! [SV1: $i,SV199: $i] :
( ( ( ~ ( in @ SV199 @ ( sK102_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ ( sK102_SY58 @ SV1 ) )
| ( SV199 = SY259 )
| ( in @ SV199 @ SY259 ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2095,plain,
! [SV1: $i,SV200: $i] :
( ( ( in @ SV200 @ SV200 )
= $false )
| ( ( in @ SV200 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1957]) ).
thf(2096,plain,
! [SV1: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ ( sK103_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY260: $i] :
( ~ ( in @ SY260 @ ( sK103_SY58 @ SV1 ) )
| ( SV201 = SY260 )
| ( in @ SV201 @ SY260 ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1958]) ).
thf(2097,plain,
! [SV1: $i,SV202: $i] :
( ( ( in @ SV202 @ SV202 )
= $false )
| ( ( in @ SV202 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2098,plain,
! [SV1: $i,SV203: $i] :
( ( ( ~ ( in @ SV203 @ ( sK104_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ ( sK104_SY58 @ SV1 ) )
| ( SV203 = SY261 )
| ( in @ SV203 @ SY261 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1961]) ).
thf(2099,plain,
! [SV1: $i,SV204: $i] :
( ( ( in @ SV204 @ SV204 )
= $false )
| ( ( in @ SV204 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1963]) ).
thf(2100,plain,
! [SV1: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ ( sK105_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY262: $i] :
( ~ ( in @ SY262 @ ( sK105_SY58 @ SV1 ) )
| ( SV205 = SY262 )
| ( in @ SV205 @ SY262 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(2101,plain,
! [SV1: $i,SV165: $i] :
( ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ ( sK96_SY58 @ SV1 ) )
| ( SV165 = SY253 )
| ( in @ SV165 @ SY253 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1966]) ).
thf(2102,plain,
! [SV1: $i,SV167: $i] :
( ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY254: $i] :
( ~ ( in @ SY254 @ ( sK97_SY58 @ SV1 ) )
| ( SV167 = SY254 )
| ( in @ SV167 @ SY254 ) ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1968]) ).
thf(2103,plain,
! [SV1: $i,SV139: $i] :
( ( ( ~ ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) )
| ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
| ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) ) )
= $false )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1969]) ).
thf(2104,plain,
! [SV1: $i,SV141: $i] :
( ( ( ~ ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) )
| ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
| ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) ) )
= $false )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1970]) ).
thf(2105,plain,
! [SV1: $i,SV169: $i] :
( ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ ( sK98_SY58 @ SV1 ) )
| ( SV169 = SY255 )
| ( in @ SV169 @ SY255 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(2106,plain,
! [SV1: $i,SV171: $i] :
( ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY256: $i] :
( ~ ( in @ SY256 @ ( sK99_SY58 @ SV1 ) )
| ( SV171 = SY256 )
| ( in @ SV171 @ SY256 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1974]) ).
thf(2107,plain,
! [SV1: $i,SV206: $i] :
( ( ( in @ SV206 @ SV206 )
= $false )
| ( ( in @ SV206 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1976]) ).
thf(2108,plain,
! [SV1: $i,SV207: $i] :
( ( ( ~ ( in @ SV207 @ ( sK106_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK106_SY58 @ SV1 ) )
| ( SV207 = SY263 )
| ( in @ SV207 @ SY263 ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1977]) ).
thf(2109,plain,
! [SV1: $i,SV208: $i] :
( ( ( in @ SV208 @ SV208 )
= $false )
| ( ( in @ SV208 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1979]) ).
thf(2110,plain,
! [SV1: $i,SV209: $i] :
( ( ( ~ ( in @ SV209 @ ( sK107_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK107_SY58 @ SV1 ) )
| ( SV209 = SY264 )
| ( in @ SV209 @ SY264 ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1980]) ).
thf(2111,plain,
! [SV1: $i,SV210: $i] :
( ( ( in @ SV210 @ SV210 )
= $false )
| ( ( in @ SV210 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2112,plain,
! [SV1: $i,SV211: $i] :
( ( ( ~ ( in @ SV211 @ ( sK108_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ ( sK108_SY58 @ SV1 ) )
| ( SV211 = SY265 )
| ( in @ SV211 @ SY265 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1983]) ).
thf(2113,plain,
! [SV1: $i,SV212: $i] :
( ( ( in @ SV212 @ SV212 )
= $false )
| ( ( in @ SV212 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( nonempty @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1985]) ).
thf(2114,plain,
! [SV1: $i,SV213: $i] :
( ( ( ~ ( in @ SV213 @ ( sK109_SY58 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK109_SY58 @ SV1 ) )
| ( SV213 = SY266 )
| ( in @ SV213 @ SY266 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1986]) ).
thf(2115,plain,
! [SV1: $i,SV177: $i] :
( ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ ( sK100_SY58 @ SV1 ) )
| ( SV177 = SY257 )
| ( in @ SV177 @ SY257 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1988]) ).
thf(2116,plain,
! [SV1: $i,SV179: $i] :
( ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY258: $i] :
( ~ ( in @ SY258 @ ( sK101_SY58 @ SV1 ) )
| ( SV179 = SY258 )
| ( in @ SV179 @ SY258 ) ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2117,plain,
! [SV71: $i,SV1: $i,SV244: $i] :
( ( ( ~ ( in @ SV244 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV244 @ SV244 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1991]) ).
thf(2118,plain,
! [SV71: $i,SV1: $i,SV245: $i] :
( ( ( ~ ( in @ SV245 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV245 @ SV245 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1992]) ).
thf(2119,plain,
! [SV71: $i,SV1: $i,SV246: $i] :
( ( ( ~ ( in @ SV246 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV246 @ SV246 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2120,plain,
! [SV73: $i,SV1: $i,SV247: $i] :
( ( ( ~ ( in @ SV247 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV247 @ SV247 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1994]) ).
thf(2121,plain,
! [SV73: $i,SV1: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV248 @ SV248 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1995]) ).
thf(2122,plain,
! [SV73: $i,SV1: $i,SV249: $i] :
( ( ( ~ ( in @ SV249 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV249 @ SV249 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1996]) ).
thf(2123,plain,
! [SV1: $i,SV103: $i] :
( ( ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2124,plain,
! [SV1: $i,SV103: $i] :
( ( ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
= $false )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2125,plain,
! [SV1: $i,SV103: $i] :
( ( ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) )
= $false )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2126,plain,
! [SV1: $i,SV105: $i] :
( ( ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1999]) ).
thf(2127,plain,
! [SV1: $i,SV105: $i] :
( ( ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
= $false )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2128,plain,
! [SV1: $i,SV105: $i] :
( ( ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) )
= $false )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2129,plain,
! [SV1: $i,SV127: $i] :
( ( ( ~ ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2001]) ).
thf(2130,plain,
! [SV1: $i,SV127: $i] :
( ( ( ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
| ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2001]) ).
thf(2131,plain,
! [SV1: $i,SV129: $i] :
( ( ( ~ ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2132,plain,
! [SV1: $i,SV129: $i] :
( ( ( ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
| ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2133,plain,
! [SV1: $i,SV131: $i] :
( ( ( ~ ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2003]) ).
thf(2134,plain,
! [SV1: $i,SV131: $i] :
( ( ( ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
| ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2003]) ).
thf(2135,plain,
! [SV1: $i,SV133: $i] :
( ( ( ~ ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2136,plain,
! [SV1: $i,SV133: $i] :
( ( ( ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
| ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2137,plain,
! [SV1: $i,SV111: $i] :
( ( ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2138,plain,
! [SV1: $i,SV111: $i] :
( ( ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2139,plain,
! [SV1: $i,SV111: $i] :
( ( ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2140,plain,
! [SV1: $i,SV113: $i] :
( ( ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2141,plain,
! [SV1: $i,SV113: $i] :
( ( ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2142,plain,
! [SV1: $i,SV113: $i] :
( ( ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2143,plain,
! [SV39: $i,SV1: $i,SV214: $i] :
( ( ( in @ SV214 @ SV214 )
= $false )
| ( ( in @ SV214 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK116_SY159 @ SV39 @ SV1 ) @ ( sK42_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2015]) ).
thf(2144,plain,
! [SV39: $i,SV1: $i,SV215: $i] :
( ( ( in @ SV215 @ SV215 )
= $false )
| ( ( in @ SV215 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( SV39
= ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2145,plain,
! [SV39: $i,SV1: $i,SV216: $i] :
( ( ( in @ SV216 @ SV216 )
= $false )
| ( ( in @ SV216 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK42_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV39 @ ( sK116_SY159 @ SV39 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2017]) ).
thf(2146,plain,
! [SV41: $i,SV1: $i,SV217: $i] :
( ( ( in @ SV217 @ SV217 )
= $false )
| ( ( in @ SV217 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK117_SY160 @ SV41 @ SV1 ) @ ( sK43_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2018]) ).
thf(2147,plain,
! [SV41: $i,SV1: $i,SV218: $i] :
( ( ( in @ SV218 @ SV218 )
= $false )
| ( ( in @ SV218 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( SV41
= ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2148,plain,
! [SV41: $i,SV1: $i,SV219: $i] :
( ( ( in @ SV219 @ SV219 )
= $false )
| ( ( in @ SV219 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK18_SY57 @ SV1 ) @ ( sK18_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK5_SY55 @ SV1 )
= ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK43_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV41 @ ( sK117_SY160 @ SV41 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2020]) ).
thf(2149,plain,
! [SV43: $i,SV1: $i,SV220: $i] :
( ( ( in @ SV220 @ SV220 )
= $false )
| ( ( in @ SV220 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK118_SY161 @ SV43 @ SV1 ) @ ( sK44_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2021]) ).
thf(2150,plain,
! [SV43: $i,SV1: $i,SV221: $i] :
( ( ( in @ SV221 @ SV221 )
= $false )
| ( ( in @ SV221 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( SV43
= ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2022]) ).
thf(2151,plain,
! [SV43: $i,SV1: $i,SV222: $i] :
( ( ( in @ SV222 @ SV222 )
= $false )
| ( ( in @ SV222 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK44_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV43 @ ( sK118_SY161 @ SV43 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2152,plain,
! [SV45: $i,SV1: $i,SV223: $i] :
( ( ( in @ SV223 @ SV223 )
= $false )
| ( ( in @ SV223 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK119_SY162 @ SV45 @ SV1 ) @ ( sK45_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2024]) ).
thf(2153,plain,
! [SV45: $i,SV1: $i,SV224: $i] :
( ( ( in @ SV224 @ SV224 )
= $false )
| ( ( in @ SV224 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( SV45
= ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2025]) ).
thf(2154,plain,
! [SV45: $i,SV1: $i,SV225: $i] :
( ( ( in @ SV225 @ SV225 )
= $false )
| ( ( in @ SV225 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK19_SY57 @ SV1 ) @ ( sK19_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK5_SY55 @ SV1 ) @ ( sK7_SY81 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK45_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV45 @ ( sK119_SY162 @ SV45 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2026]) ).
thf(2155,plain,
! [SV55: $i,SV1: $i,SV226: $i] :
( ( ( in @ SV226 @ SV1 )
= $false )
| ( ( ~ ( in @ SV226 @ SV226 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2039]) ).
thf(2156,plain,
! [SV55: $i,SV1: $i,SV227: $i] :
( ( ( in @ SV227 @ SV1 )
= $false )
| ( ( ~ ( in @ SV227 @ SV227 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2040]) ).
thf(2157,plain,
! [SV55: $i,SV1: $i,SV228: $i] :
( ( ( in @ SV228 @ SV1 )
= $false )
| ( ( ~ ( in @ SV228 @ SV228 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2041]) ).
thf(2158,plain,
! [SV57: $i,SV1: $i,SV229: $i] :
( ( ( in @ SV229 @ SV1 )
= $false )
| ( ( ~ ( in @ SV229 @ SV229 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2042]) ).
thf(2159,plain,
! [SV57: $i,SV1: $i,SV230: $i] :
( ( ( in @ SV230 @ SV1 )
= $false )
| ( ( ~ ( in @ SV230 @ SV230 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2043]) ).
thf(2160,plain,
! [SV57: $i,SV1: $i,SV231: $i] :
( ( ( in @ SV231 @ SV1 )
= $false )
| ( ( ~ ( in @ SV231 @ SV231 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2161,plain,
! [SV75: $i,SV1: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV250 @ SV250 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2162,plain,
! [SV75: $i,SV1: $i,SV251: $i] :
( ( ( ~ ( in @ SV251 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV251 @ SV251 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2163,plain,
! [SV75: $i,SV1: $i,SV252: $i] :
( ( ( ~ ( in @ SV252 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV252 @ SV252 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2047]) ).
thf(2164,plain,
! [SV77: $i,SV1: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV253 @ SV253 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2048]) ).
thf(2165,plain,
! [SV77: $i,SV1: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV254 @ SV254 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2049]) ).
thf(2166,plain,
! [SV77: $i,SV1: $i,SV255: $i] :
( ( ( ~ ( in @ SV255 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV255 @ SV255 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2050]) ).
thf(2167,plain,
! [SV79: $i,SV1: $i,SV256: $i] :
( ( ( ~ ( in @ SV256 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV256 @ SV256 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2051]) ).
thf(2168,plain,
! [SV79: $i,SV1: $i,SV257: $i] :
( ( ( ~ ( in @ SV257 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV257 @ SV257 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2169,plain,
! [SV79: $i,SV1: $i,SV258: $i] :
( ( ( ~ ( in @ SV258 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV258 @ SV258 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2053]) ).
thf(2170,plain,
! [SV81: $i,SV1: $i,SV259: $i] :
( ( ( ~ ( in @ SV259 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV259 @ SV259 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2054]) ).
thf(2171,plain,
! [SV81: $i,SV1: $i,SV260: $i] :
( ( ( ~ ( in @ SV260 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV260 @ SV260 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2055]) ).
thf(2172,plain,
! [SV81: $i,SV1: $i,SV261: $i] :
( ( ( ~ ( in @ SV261 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV261 @ SV261 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2056]) ).
thf(2173,plain,
! [SV63: $i,SV1: $i,SV232: $i] :
( ( ( in @ SV232 @ SV1 )
= $false )
| ( ( ~ ( in @ SV232 @ SV232 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2174,plain,
! [SV63: $i,SV1: $i,SV233: $i] :
( ( ( in @ SV233 @ SV1 )
= $false )
| ( ( ~ ( in @ SV233 @ SV233 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2175,plain,
! [SV63: $i,SV1: $i,SV234: $i] :
( ( ( in @ SV234 @ SV1 )
= $false )
| ( ( ~ ( in @ SV234 @ SV234 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2176,plain,
! [SV65: $i,SV1: $i,SV235: $i] :
( ( ( in @ SV235 @ SV1 )
= $false )
| ( ( ~ ( in @ SV235 @ SV235 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2060]) ).
thf(2177,plain,
! [SV65: $i,SV1: $i,SV236: $i] :
( ( ( in @ SV236 @ SV1 )
= $false )
| ( ( ~ ( in @ SV236 @ SV236 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2178,plain,
! [SV65: $i,SV1: $i,SV237: $i] :
( ( ( in @ SV237 @ SV1 )
= $false )
| ( ( ~ ( in @ SV237 @ SV237 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2179,plain,
! [SV67: $i,SV1: $i,SV238: $i] :
( ( ( in @ SV238 @ SV1 )
= $false )
| ( ( ~ ( in @ SV238 @ SV238 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2180,plain,
! [SV67: $i,SV1: $i,SV239: $i] :
( ( ( in @ SV239 @ SV1 )
= $false )
| ( ( ~ ( in @ SV239 @ SV239 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2181,plain,
! [SV67: $i,SV1: $i,SV240: $i] :
( ( ( in @ SV240 @ SV1 )
= $false )
| ( ( ~ ( in @ SV240 @ SV240 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2182,plain,
! [SV69: $i,SV1: $i,SV241: $i] :
( ( ( in @ SV241 @ SV1 )
= $false )
| ( ( ~ ( in @ SV241 @ SV241 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2183,plain,
! [SV69: $i,SV1: $i,SV242: $i] :
( ( ( in @ SV242 @ SV1 )
= $false )
| ( ( ~ ( in @ SV242 @ SV242 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2184,plain,
! [SV69: $i,SV1: $i,SV243: $i] :
( ( ( in @ SV243 @ SV1 )
= $false )
| ( ( ~ ( in @ SV243 @ SV243 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2185,plain,
! [SV91: $i,SV1: $i,SV262: $i] :
( ( ( ~ ( in @ SV262 @ SV1 )
| ~ ( in @ SV262 @ SV262 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2186,plain,
! [SV91: $i,SV1: $i,SV263: $i] :
( ( ( ~ ( in @ SV263 @ SV1 )
| ~ ( in @ SV263 @ SV263 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2187,plain,
! [SV91: $i,SV1: $i,SV264: $i] :
( ( ( ~ ( in @ SV264 @ SV1 )
| ~ ( in @ SV264 @ SV264 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2188,plain,
! [SV93: $i,SV1: $i,SV265: $i] :
( ( ( ~ ( in @ SV265 @ SV1 )
| ~ ( in @ SV265 @ SV265 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2189,plain,
! [SV93: $i,SV1: $i,SV266: $i] :
( ( ( ~ ( in @ SV266 @ SV1 )
| ~ ( in @ SV266 @ SV266 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2190,plain,
! [SV93: $i,SV1: $i,SV267: $i] :
( ( ( ~ ( in @ SV267 @ SV1 )
| ~ ( in @ SV267 @ SV267 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2191,plain,
! [SV1: $i,SV115: $i] :
( ( ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2075]) ).
thf(2192,plain,
! [SV1: $i,SV115: $i] :
( ( ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2076]) ).
thf(2193,plain,
! [SV1: $i,SV115: $i] :
( ( ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2076]) ).
thf(2194,plain,
! [SV1: $i,SV117: $i] :
( ( ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2077]) ).
thf(2195,plain,
! [SV1: $i,SV117: $i] :
( ( ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2196,plain,
! [SV1: $i,SV117: $i] :
( ( ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2197,plain,
! [SV1: $i,SV119: $i] :
( ( ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2198,plain,
! [SV1: $i,SV119: $i] :
( ( ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2080]) ).
thf(2199,plain,
! [SV1: $i,SV119: $i] :
( ( ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2080]) ).
thf(2200,plain,
! [SV1: $i,SV121: $i] :
( ( ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2081]) ).
thf(2201,plain,
! [SV1: $i,SV121: $i] :
( ( ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2202,plain,
! [SV1: $i,SV121: $i] :
( ( ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2203,plain,
! [SV99: $i,SV1: $i,SV268: $i] :
( ( ( ~ ( in @ SV268 @ SV1 )
| ~ ( in @ SV268 @ SV268 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2204,plain,
! [SV99: $i,SV1: $i,SV269: $i] :
( ( ( ~ ( in @ SV269 @ SV1 )
| ~ ( in @ SV269 @ SV269 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2205,plain,
! [SV99: $i,SV1: $i,SV270: $i] :
( ( ( ~ ( in @ SV270 @ SV1 )
| ~ ( in @ SV270 @ SV270 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2206,plain,
! [SV101: $i,SV1: $i,SV271: $i] :
( ( ( ~ ( in @ SV271 @ SV1 )
| ~ ( in @ SV271 @ SV271 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2207,plain,
! [SV101: $i,SV1: $i,SV272: $i] :
( ( ( ~ ( in @ SV272 @ SV1 )
| ~ ( in @ SV272 @ SV272 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2208,plain,
! [SV101: $i,SV1: $i,SV273: $i] :
( ( ( ~ ( in @ SV273 @ SV1 )
| ~ ( in @ SV273 @ SV273 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2209,plain,
! [SV1: $i,SV135: $i] :
( ( ( ~ ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2089]) ).
thf(2210,plain,
! [SV1: $i,SV135: $i] :
( ( ( ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
| ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) ) )
= $false )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2089]) ).
thf(2211,plain,
! [SV1: $i,SV137: $i] :
( ( ( ~ ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2090]) ).
thf(2212,plain,
! [SV1: $i,SV137: $i] :
( ( ( ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
| ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) ) )
= $false )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2090]) ).
thf(2213,plain,
! [SV157: $i,SV1: $i] :
( ( ( ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY58 @ SV1 ) )
| ( SV157 = SY251 )
| ( in @ SV157 @ SY251 ) ) )
= $false )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2214,plain,
! [SV159: $i,SV1: $i] :
( ( ( ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY58 @ SV1 ) )
| ( SV159 = SY252 )
| ( in @ SV159 @ SY252 ) ) )
= $false )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2092]) ).
thf(2215,plain,
! [SV1: $i,SV199: $i] :
( ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ ( sK102_SY58 @ SV1 ) )
| ( SV199 = SY259 )
| ( in @ SV199 @ SY259 ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2094]) ).
thf(2216,plain,
! [SV1: $i,SV201: $i] :
( ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY260: $i] :
( ~ ( in @ SY260 @ ( sK103_SY58 @ SV1 ) )
| ( SV201 = SY260 )
| ( in @ SV201 @ SY260 ) ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2096]) ).
thf(2217,plain,
! [SV1: $i,SV203: $i] :
( ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ ( sK104_SY58 @ SV1 ) )
| ( SV203 = SY261 )
| ( in @ SV203 @ SY261 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2218,plain,
! [SV1: $i,SV205: $i] :
( ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY262: $i] :
( ~ ( in @ SY262 @ ( sK105_SY58 @ SV1 ) )
| ( SV205 = SY262 )
| ( in @ SV205 @ SY262 ) ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2219,plain,
! [SV165: $i,SV1: $i] :
( ( ( ! [SY253: $i] :
( ~ ( in @ SY253 @ ( sK96_SY58 @ SV1 ) )
| ( SV165 = SY253 )
| ( in @ SV165 @ SY253 ) ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2220,plain,
! [SV167: $i,SV1: $i] :
( ( ( ! [SY254: $i] :
( ~ ( in @ SY254 @ ( sK97_SY58 @ SV1 ) )
| ( SV167 = SY254 )
| ( in @ SV167 @ SY254 ) ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2221,plain,
! [SV1: $i,SV139: $i] :
( ( ( ~ ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2222,plain,
! [SV1: $i,SV139: $i] :
( ( ( ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
| ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) ) )
= $false )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2223,plain,
! [SV1: $i,SV141: $i] :
( ( ( ~ ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2224,plain,
! [SV1: $i,SV141: $i] :
( ( ( ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
| ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) ) )
= $false )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2225,plain,
! [SV169: $i,SV1: $i] :
( ( ( ! [SY255: $i] :
( ~ ( in @ SY255 @ ( sK98_SY58 @ SV1 ) )
| ( SV169 = SY255 )
| ( in @ SV169 @ SY255 ) ) )
= $false )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2226,plain,
! [SV171: $i,SV1: $i] :
( ( ( ! [SY256: $i] :
( ~ ( in @ SY256 @ ( sK99_SY58 @ SV1 ) )
| ( SV171 = SY256 )
| ( in @ SV171 @ SY256 ) ) )
= $false )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2227,plain,
! [SV1: $i,SV207: $i] :
( ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK106_SY58 @ SV1 ) )
| ( SV207 = SY263 )
| ( in @ SV207 @ SY263 ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2228,plain,
! [SV1: $i,SV209: $i] :
( ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK107_SY58 @ SV1 ) )
| ( SV209 = SY264 )
| ( in @ SV209 @ SY264 ) ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2229,plain,
! [SV1: $i,SV211: $i] :
( ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ ( sK108_SY58 @ SV1 ) )
| ( SV211 = SY265 )
| ( in @ SV211 @ SY265 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2230,plain,
! [SV1: $i,SV213: $i] :
( ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK109_SY58 @ SV1 ) )
| ( SV213 = SY266 )
| ( in @ SV213 @ SY266 ) ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2231,plain,
! [SV177: $i,SV1: $i] :
( ( ( ! [SY257: $i] :
( ~ ( in @ SY257 @ ( sK100_SY58 @ SV1 ) )
| ( SV177 = SY257 )
| ( in @ SV177 @ SY257 ) ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2115]) ).
thf(2232,plain,
! [SV179: $i,SV1: $i] :
( ( ( ! [SY258: $i] :
( ~ ( in @ SY258 @ ( sK101_SY58 @ SV1 ) )
| ( SV179 = SY258 )
| ( in @ SV179 @ SY258 ) ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2233,plain,
! [SV71: $i,SV1: $i,SV244: $i] :
( ( ( in @ SV244 @ SV1 )
= $false )
| ( ( ~ ( in @ SV244 @ SV244 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2234,plain,
! [SV71: $i,SV1: $i,SV245: $i] :
( ( ( in @ SV245 @ SV1 )
= $false )
| ( ( ~ ( in @ SV245 @ SV245 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2235,plain,
! [SV71: $i,SV1: $i,SV246: $i] :
( ( ( in @ SV246 @ SV1 )
= $false )
| ( ( ~ ( in @ SV246 @ SV246 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2119]) ).
thf(2236,plain,
! [SV73: $i,SV1: $i,SV247: $i] :
( ( ( in @ SV247 @ SV1 )
= $false )
| ( ( ~ ( in @ SV247 @ SV247 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2120]) ).
thf(2237,plain,
! [SV73: $i,SV1: $i,SV248: $i] :
( ( ( in @ SV248 @ SV1 )
= $false )
| ( ( ~ ( in @ SV248 @ SV248 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2238,plain,
! [SV73: $i,SV1: $i,SV249: $i] :
( ( ( in @ SV249 @ SV1 )
= $false )
| ( ( ~ ( in @ SV249 @ SV249 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2122]) ).
thf(2239,plain,
! [SV103: $i,SV1: $i,SV274: $i] :
( ( ( ~ ( in @ SV274 @ SV1 )
| ~ ( in @ SV274 @ SV274 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2240,plain,
! [SV103: $i,SV1: $i,SV275: $i] :
( ( ( ~ ( in @ SV275 @ SV1 )
| ~ ( in @ SV275 @ SV275 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2241,plain,
! [SV103: $i,SV1: $i,SV276: $i] :
( ( ( ~ ( in @ SV276 @ SV1 )
| ~ ( in @ SV276 @ SV276 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2242,plain,
! [SV105: $i,SV1: $i,SV277: $i] :
( ( ( ~ ( in @ SV277 @ SV1 )
| ~ ( in @ SV277 @ SV277 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2243,plain,
! [SV105: $i,SV1: $i,SV278: $i] :
( ( ( ~ ( in @ SV278 @ SV1 )
| ~ ( in @ SV278 @ SV278 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2244,plain,
! [SV105: $i,SV1: $i,SV279: $i] :
( ( ( ~ ( in @ SV279 @ SV1 )
| ~ ( in @ SV279 @ SV279 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2245,plain,
! [SV1: $i,SV127: $i] :
( ( ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2246,plain,
! [SV1: $i,SV127: $i] :
( ( ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2247,plain,
! [SV1: $i,SV127: $i] :
( ( ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2248,plain,
! [SV1: $i,SV129: $i] :
( ( ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2131]) ).
thf(2249,plain,
! [SV1: $i,SV129: $i] :
( ( ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2250,plain,
! [SV1: $i,SV129: $i] :
( ( ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2251,plain,
! [SV1: $i,SV131: $i] :
( ( ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2133]) ).
thf(2252,plain,
! [SV1: $i,SV131: $i] :
( ( ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2134]) ).
thf(2253,plain,
! [SV1: $i,SV131: $i] :
( ( ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2134]) ).
thf(2254,plain,
! [SV1: $i,SV133: $i] :
( ( ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2255,plain,
! [SV1: $i,SV133: $i] :
( ( ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2256,plain,
! [SV1: $i,SV133: $i] :
( ( ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2257,plain,
! [SV111: $i,SV1: $i,SV280: $i] :
( ( ( ~ ( in @ SV280 @ SV1 )
| ~ ( in @ SV280 @ SV280 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2258,plain,
! [SV111: $i,SV1: $i,SV281: $i] :
( ( ( ~ ( in @ SV281 @ SV1 )
| ~ ( in @ SV281 @ SV281 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2259,plain,
! [SV111: $i,SV1: $i,SV282: $i] :
( ( ( ~ ( in @ SV282 @ SV1 )
| ~ ( in @ SV282 @ SV282 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2260,plain,
! [SV113: $i,SV1: $i,SV283: $i] :
( ( ( ~ ( in @ SV283 @ SV1 )
| ~ ( in @ SV283 @ SV283 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2261,plain,
! [SV113: $i,SV1: $i,SV284: $i] :
( ( ( ~ ( in @ SV284 @ SV1 )
| ~ ( in @ SV284 @ SV284 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2141]) ).
thf(2262,plain,
! [SV113: $i,SV1: $i,SV285: $i] :
( ( ( ~ ( in @ SV285 @ SV1 )
| ~ ( in @ SV285 @ SV285 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2263,plain,
! [SV55: $i,SV1: $i,SV226: $i] :
( ( ( in @ SV226 @ SV226 )
= $false )
| ( ( in @ SV226 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY179 @ SV55 @ SV1 ) @ ( sK50_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2264,plain,
! [SV55: $i,SV1: $i,SV227: $i] :
( ( ( in @ SV227 @ SV227 )
= $false )
| ( ( in @ SV227 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( SV55
= ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2265,plain,
! [SV55: $i,SV1: $i,SV228: $i] :
( ( ( in @ SV228 @ SV228 )
= $false )
| ( ( in @ SV228 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV55 @ ( sK50_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV55 @ ( sK120_SY179 @ SV55 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2157]) ).
thf(2266,plain,
! [SV57: $i,SV1: $i,SV229: $i] :
( ( ( in @ SV229 @ SV229 )
= $false )
| ( ( in @ SV229 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY180 @ SV57 @ SV1 ) @ ( sK51_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2158]) ).
thf(2267,plain,
! [SV57: $i,SV1: $i,SV230: $i] :
( ( ( in @ SV230 @ SV230 )
= $false )
| ( ( in @ SV230 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( SV57
= ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2159]) ).
thf(2268,plain,
! [SV57: $i,SV1: $i,SV231: $i] :
( ( ( in @ SV231 @ SV231 )
= $false )
| ( ( in @ SV231 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK22_SY57 @ SV1 ) @ ( sK22_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV57 @ ( sK51_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV57 @ ( sK121_SY180 @ SV57 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2269,plain,
! [SV75: $i,SV1: $i,SV250: $i] :
( ( ( in @ SV250 @ SV1 )
= $false )
| ( ( ~ ( in @ SV250 @ SV250 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2270,plain,
! [SV75: $i,SV1: $i,SV251: $i] :
( ( ( in @ SV251 @ SV1 )
= $false )
| ( ( ~ ( in @ SV251 @ SV251 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2271,plain,
! [SV75: $i,SV1: $i,SV252: $i] :
( ( ( in @ SV252 @ SV1 )
= $false )
| ( ( ~ ( in @ SV252 @ SV252 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2163]) ).
thf(2272,plain,
! [SV77: $i,SV1: $i,SV253: $i] :
( ( ( in @ SV253 @ SV1 )
= $false )
| ( ( ~ ( in @ SV253 @ SV253 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2273,plain,
! [SV77: $i,SV1: $i,SV254: $i] :
( ( ( in @ SV254 @ SV1 )
= $false )
| ( ( ~ ( in @ SV254 @ SV254 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2274,plain,
! [SV77: $i,SV1: $i,SV255: $i] :
( ( ( in @ SV255 @ SV1 )
= $false )
| ( ( ~ ( in @ SV255 @ SV255 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2275,plain,
! [SV79: $i,SV1: $i,SV256: $i] :
( ( ( in @ SV256 @ SV1 )
= $false )
| ( ( ~ ( in @ SV256 @ SV256 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2276,plain,
! [SV79: $i,SV1: $i,SV257: $i] :
( ( ( in @ SV257 @ SV1 )
= $false )
| ( ( ~ ( in @ SV257 @ SV257 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2277,plain,
! [SV79: $i,SV1: $i,SV258: $i] :
( ( ( in @ SV258 @ SV1 )
= $false )
| ( ( ~ ( in @ SV258 @ SV258 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2278,plain,
! [SV81: $i,SV1: $i,SV259: $i] :
( ( ( in @ SV259 @ SV1 )
= $false )
| ( ( ~ ( in @ SV259 @ SV259 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2279,plain,
! [SV81: $i,SV1: $i,SV260: $i] :
( ( ( in @ SV260 @ SV1 )
= $false )
| ( ( ~ ( in @ SV260 @ SV260 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2280,plain,
! [SV81: $i,SV1: $i,SV261: $i] :
( ( ( in @ SV261 @ SV1 )
= $false )
| ( ( ~ ( in @ SV261 @ SV261 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2281,plain,
! [SV63: $i,SV1: $i,SV232: $i] :
( ( ( in @ SV232 @ SV232 )
= $false )
| ( ( in @ SV232 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY181 @ SV63 @ SV1 ) @ ( sK52_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2282,plain,
! [SV63: $i,SV1: $i,SV233: $i] :
( ( ( in @ SV233 @ SV233 )
= $false )
| ( ( in @ SV233 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( SV63
= ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2174]) ).
thf(2283,plain,
! [SV63: $i,SV1: $i,SV234: $i] :
( ( ( in @ SV234 @ SV234 )
= $false )
| ( ( in @ SV234 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK52_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV63 @ ( sK122_SY181 @ SV63 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2284,plain,
! [SV65: $i,SV1: $i,SV235: $i] :
( ( ( in @ SV235 @ SV235 )
= $false )
| ( ( in @ SV235 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY182 @ SV65 @ SV1 ) @ ( sK53_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2285,plain,
! [SV65: $i,SV1: $i,SV236: $i] :
( ( ( in @ SV236 @ SV236 )
= $false )
| ( ( in @ SV236 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( SV65
= ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2177]) ).
thf(2286,plain,
! [SV65: $i,SV1: $i,SV237: $i] :
( ( ( in @ SV237 @ SV237 )
= $false )
| ( ( in @ SV237 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK23_SY57 @ SV1 ) @ ( sK23_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY82 @ SV1 ) @ ( sK8_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK53_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV65 @ ( sK123_SY182 @ SV65 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2287,plain,
! [SV67: $i,SV1: $i,SV238: $i] :
( ( ( in @ SV238 @ SV238 )
= $false )
| ( ( in @ SV238 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY183 @ SV67 @ SV1 ) @ ( sK54_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2179]) ).
thf(2288,plain,
! [SV67: $i,SV1: $i,SV239: $i] :
( ( ( in @ SV239 @ SV239 )
= $false )
| ( ( in @ SV239 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( SV67
= ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2180]) ).
thf(2289,plain,
! [SV67: $i,SV1: $i,SV240: $i] :
( ( ( in @ SV240 @ SV240 )
= $false )
| ( ( in @ SV240 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV67 @ ( sK54_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV67 @ ( sK124_SY183 @ SV67 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2181]) ).
thf(2290,plain,
! [SV69: $i,SV1: $i,SV241: $i] :
( ( ( in @ SV241 @ SV241 )
= $false )
| ( ( in @ SV241 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY184 @ SV69 @ SV1 ) @ ( sK55_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2291,plain,
! [SV69: $i,SV1: $i,SV242: $i] :
( ( ( in @ SV242 @ SV242 )
= $false )
| ( ( in @ SV242 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( SV69
= ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2292,plain,
! [SV69: $i,SV1: $i,SV243: $i] :
( ( ( in @ SV243 @ SV243 )
= $false )
| ( ( in @ SV243 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK24_SY57 @ SV1 ) @ ( sK24_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV69 @ ( sK55_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV69 @ ( sK125_SY184 @ SV69 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2184]) ).
thf(2293,plain,
! [SV91: $i,SV1: $i,SV262: $i] :
( ( ( ~ ( in @ SV262 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV262 @ SV262 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2294,plain,
! [SV91: $i,SV1: $i,SV263: $i] :
( ( ( ~ ( in @ SV263 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV263 @ SV263 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2186]) ).
thf(2295,plain,
! [SV91: $i,SV1: $i,SV264: $i] :
( ( ( ~ ( in @ SV264 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV264 @ SV264 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2187]) ).
thf(2296,plain,
! [SV93: $i,SV1: $i,SV265: $i] :
( ( ( ~ ( in @ SV265 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV265 @ SV265 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2188]) ).
thf(2297,plain,
! [SV93: $i,SV1: $i,SV266: $i] :
( ( ( ~ ( in @ SV266 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV266 @ SV266 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2298,plain,
! [SV93: $i,SV1: $i,SV267: $i] :
( ( ( ~ ( in @ SV267 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV267 @ SV267 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2190]) ).
thf(2299,plain,
! [SV115: $i,SV1: $i,SV286: $i] :
( ( ( ~ ( in @ SV286 @ SV1 )
| ~ ( in @ SV286 @ SV286 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2191]) ).
thf(2300,plain,
! [SV115: $i,SV1: $i,SV287: $i] :
( ( ( ~ ( in @ SV287 @ SV1 )
| ~ ( in @ SV287 @ SV287 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2301,plain,
! [SV115: $i,SV1: $i,SV288: $i] :
( ( ( ~ ( in @ SV288 @ SV1 )
| ~ ( in @ SV288 @ SV288 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2302,plain,
! [SV117: $i,SV1: $i,SV289: $i] :
( ( ( ~ ( in @ SV289 @ SV1 )
| ~ ( in @ SV289 @ SV289 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2303,plain,
! [SV117: $i,SV1: $i,SV290: $i] :
( ( ( ~ ( in @ SV290 @ SV1 )
| ~ ( in @ SV290 @ SV290 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2304,plain,
! [SV117: $i,SV1: $i,SV291: $i] :
( ( ( ~ ( in @ SV291 @ SV1 )
| ~ ( in @ SV291 @ SV291 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2305,plain,
! [SV119: $i,SV1: $i,SV292: $i] :
( ( ( ~ ( in @ SV292 @ SV1 )
| ~ ( in @ SV292 @ SV292 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2306,plain,
! [SV119: $i,SV1: $i,SV293: $i] :
( ( ( ~ ( in @ SV293 @ SV1 )
| ~ ( in @ SV293 @ SV293 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2307,plain,
! [SV119: $i,SV1: $i,SV294: $i] :
( ( ( ~ ( in @ SV294 @ SV1 )
| ~ ( in @ SV294 @ SV294 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2308,plain,
! [SV121: $i,SV1: $i,SV295: $i] :
( ( ( ~ ( in @ SV295 @ SV1 )
| ~ ( in @ SV295 @ SV295 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2200]) ).
thf(2309,plain,
! [SV121: $i,SV1: $i,SV296: $i] :
( ( ( ~ ( in @ SV296 @ SV1 )
| ~ ( in @ SV296 @ SV296 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2310,plain,
! [SV121: $i,SV1: $i,SV297: $i] :
( ( ( ~ ( in @ SV297 @ SV1 )
| ~ ( in @ SV297 @ SV297 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2311,plain,
! [SV99: $i,SV1: $i,SV268: $i] :
( ( ( ~ ( in @ SV268 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV268 @ SV268 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2203]) ).
thf(2312,plain,
! [SV99: $i,SV1: $i,SV269: $i] :
( ( ( ~ ( in @ SV269 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV269 @ SV269 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2204]) ).
thf(2313,plain,
! [SV99: $i,SV1: $i,SV270: $i] :
( ( ( ~ ( in @ SV270 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV270 @ SV270 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2205]) ).
thf(2314,plain,
! [SV101: $i,SV1: $i,SV271: $i] :
( ( ( ~ ( in @ SV271 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV271 @ SV271 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2206]) ).
thf(2315,plain,
! [SV101: $i,SV1: $i,SV272: $i] :
( ( ( ~ ( in @ SV272 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV272 @ SV272 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2207]) ).
thf(2316,plain,
! [SV101: $i,SV1: $i,SV273: $i] :
( ( ( ~ ( in @ SV273 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV273 @ SV273 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2208]) ).
thf(2317,plain,
! [SV1: $i,SV135: $i] :
( ( ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2318,plain,
! [SV1: $i,SV135: $i] :
( ( ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
= $false )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2210]) ).
thf(2319,plain,
! [SV1: $i,SV135: $i] :
( ( ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) )
= $false )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2210]) ).
thf(2320,plain,
! [SV1: $i,SV137: $i] :
( ( ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2321,plain,
! [SV1: $i,SV137: $i] :
( ( ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
= $false )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2322,plain,
! [SV1: $i,SV137: $i] :
( ( ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) )
= $false )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2323,plain,
! [SV1: $i,SV157: $i] :
( ( ( ~ ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) )
| ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
| ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) ) )
= $false )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2213]) ).
thf(2324,plain,
! [SV1: $i,SV159: $i] :
( ( ( ~ ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) )
| ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
| ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) ) )
= $false )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2214]) ).
thf(2325,plain,
! [SV199: $i,SV1: $i] :
( ( ( ! [SY259: $i] :
( ~ ( in @ SY259 @ ( sK102_SY58 @ SV1 ) )
| ( SV199 = SY259 )
| ( in @ SV199 @ SY259 ) ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2326,plain,
! [SV201: $i,SV1: $i] :
( ( ( ! [SY260: $i] :
( ~ ( in @ SY260 @ ( sK103_SY58 @ SV1 ) )
| ( SV201 = SY260 )
| ( in @ SV201 @ SY260 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2216]) ).
thf(2327,plain,
! [SV203: $i,SV1: $i] :
( ( ( ! [SY261: $i] :
( ~ ( in @ SY261 @ ( sK104_SY58 @ SV1 ) )
| ( SV203 = SY261 )
| ( in @ SV203 @ SY261 ) ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2217]) ).
thf(2328,plain,
! [SV205: $i,SV1: $i] :
( ( ( ! [SY262: $i] :
( ~ ( in @ SY262 @ ( sK105_SY58 @ SV1 ) )
| ( SV205 = SY262 )
| ( in @ SV205 @ SY262 ) ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2218]) ).
thf(2329,plain,
! [SV1: $i,SV165: $i] :
( ( ( ~ ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) )
| ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
| ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2219]) ).
thf(2330,plain,
! [SV1: $i,SV167: $i] :
( ( ( ~ ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) )
| ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
| ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2220]) ).
thf(2331,plain,
! [SV1: $i,SV139: $i] :
( ( ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2332,plain,
! [SV1: $i,SV139: $i] :
( ( ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
= $false )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2333,plain,
! [SV1: $i,SV139: $i] :
( ( ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) )
= $false )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2334,plain,
! [SV1: $i,SV141: $i] :
( ( ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2335,plain,
! [SV1: $i,SV141: $i] :
( ( ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
= $false )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2224]) ).
thf(2336,plain,
! [SV1: $i,SV141: $i] :
( ( ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) )
= $false )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2224]) ).
thf(2337,plain,
! [SV1: $i,SV169: $i] :
( ( ( ~ ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) )
| ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
| ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) ) )
= $false )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2225]) ).
thf(2338,plain,
! [SV1: $i,SV171: $i] :
( ( ( ~ ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) )
| ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
| ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) ) )
= $false )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2226]) ).
thf(2339,plain,
! [SV207: $i,SV1: $i] :
( ( ( ! [SY263: $i] :
( ~ ( in @ SY263 @ ( sK106_SY58 @ SV1 ) )
| ( SV207 = SY263 )
| ( in @ SV207 @ SY263 ) ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2227]) ).
thf(2340,plain,
! [SV209: $i,SV1: $i] :
( ( ( ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK107_SY58 @ SV1 ) )
| ( SV209 = SY264 )
| ( in @ SV209 @ SY264 ) ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2228]) ).
thf(2341,plain,
! [SV211: $i,SV1: $i] :
( ( ( ! [SY265: $i] :
( ~ ( in @ SY265 @ ( sK108_SY58 @ SV1 ) )
| ( SV211 = SY265 )
| ( in @ SV211 @ SY265 ) ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2342,plain,
! [SV213: $i,SV1: $i] :
( ( ( ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK109_SY58 @ SV1 ) )
| ( SV213 = SY266 )
| ( in @ SV213 @ SY266 ) ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2343,plain,
! [SV1: $i,SV177: $i] :
( ( ( ~ ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) )
| ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
| ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2231]) ).
thf(2344,plain,
! [SV1: $i,SV179: $i] :
( ( ( ~ ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) )
| ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
| ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2232]) ).
thf(2345,plain,
! [SV71: $i,SV1: $i,SV244: $i] :
( ( ( in @ SV244 @ SV244 )
= $false )
| ( ( in @ SV244 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY193 @ SV71 @ SV1 ) @ ( sK58_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2346,plain,
! [SV71: $i,SV1: $i,SV245: $i] :
( ( ( in @ SV245 @ SV245 )
= $false )
| ( ( in @ SV245 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( SV71
= ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2234]) ).
thf(2347,plain,
! [SV71: $i,SV1: $i,SV246: $i] :
( ( ( in @ SV246 @ SV246 )
= $false )
| ( ( in @ SV246 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV71 @ ( sK58_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV71 @ ( sK126_SY193 @ SV71 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2348,plain,
! [SV73: $i,SV1: $i,SV247: $i] :
( ( ( in @ SV247 @ SV247 )
= $false )
| ( ( in @ SV247 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY194 @ SV73 @ SV1 ) @ ( sK59_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2349,plain,
! [SV73: $i,SV1: $i,SV248: $i] :
( ( ( in @ SV248 @ SV248 )
= $false )
| ( ( in @ SV248 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( SV73
= ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2350,plain,
! [SV73: $i,SV1: $i,SV249: $i] :
( ( ( in @ SV249 @ SV249 )
= $false )
| ( ( in @ SV249 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK27_SY57 @ SV1 ) @ ( sK27_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV73 @ ( sK59_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV73 @ ( sK127_SY194 @ SV73 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2351,plain,
! [SV103: $i,SV1: $i,SV274: $i] :
( ( ( ~ ( in @ SV274 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV274 @ SV274 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2239]) ).
thf(2352,plain,
! [SV103: $i,SV1: $i,SV275: $i] :
( ( ( ~ ( in @ SV275 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV275 @ SV275 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2240]) ).
thf(2353,plain,
! [SV103: $i,SV1: $i,SV276: $i] :
( ( ( ~ ( in @ SV276 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV276 @ SV276 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2354,plain,
! [SV105: $i,SV1: $i,SV277: $i] :
( ( ( ~ ( in @ SV277 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV277 @ SV277 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2242]) ).
thf(2355,plain,
! [SV105: $i,SV1: $i,SV278: $i] :
( ( ( ~ ( in @ SV278 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV278 @ SV278 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2356,plain,
! [SV105: $i,SV1: $i,SV279: $i] :
( ( ( ~ ( in @ SV279 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV279 @ SV279 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2244]) ).
thf(2357,plain,
! [SV127: $i,SV1: $i,SV298: $i] :
( ( ( ~ ( in @ SV298 @ SV1 )
| ~ ( in @ SV298 @ SV298 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2358,plain,
! [SV127: $i,SV1: $i,SV299: $i] :
( ( ( ~ ( in @ SV299 @ SV1 )
| ~ ( in @ SV299 @ SV299 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2359,plain,
! [SV127: $i,SV1: $i,SV300: $i] :
( ( ( ~ ( in @ SV300 @ SV1 )
| ~ ( in @ SV300 @ SV300 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2360,plain,
! [SV129: $i,SV1: $i,SV301: $i] :
( ( ( ~ ( in @ SV301 @ SV1 )
| ~ ( in @ SV301 @ SV301 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2361,plain,
! [SV129: $i,SV1: $i,SV302: $i] :
( ( ( ~ ( in @ SV302 @ SV1 )
| ~ ( in @ SV302 @ SV302 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2362,plain,
! [SV129: $i,SV1: $i,SV303: $i] :
( ( ( ~ ( in @ SV303 @ SV1 )
| ~ ( in @ SV303 @ SV303 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2363,plain,
! [SV131: $i,SV1: $i,SV304: $i] :
( ( ( ~ ( in @ SV304 @ SV1 )
| ~ ( in @ SV304 @ SV304 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2364,plain,
! [SV131: $i,SV1: $i,SV305: $i] :
( ( ( ~ ( in @ SV305 @ SV1 )
| ~ ( in @ SV305 @ SV305 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2365,plain,
! [SV131: $i,SV1: $i,SV306: $i] :
( ( ( ~ ( in @ SV306 @ SV1 )
| ~ ( in @ SV306 @ SV306 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2366,plain,
! [SV133: $i,SV1: $i,SV307: $i] :
( ( ( ~ ( in @ SV307 @ SV1 )
| ~ ( in @ SV307 @ SV307 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2367,plain,
! [SV133: $i,SV1: $i,SV308: $i] :
( ( ( ~ ( in @ SV308 @ SV1 )
| ~ ( in @ SV308 @ SV308 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2368,plain,
! [SV133: $i,SV1: $i,SV309: $i] :
( ( ( ~ ( in @ SV309 @ SV1 )
| ~ ( in @ SV309 @ SV309 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2369,plain,
! [SV111: $i,SV1: $i,SV280: $i] :
( ( ( ~ ( in @ SV280 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV280 @ SV280 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2370,plain,
! [SV111: $i,SV1: $i,SV281: $i] :
( ( ( ~ ( in @ SV281 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV281 @ SV281 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2371,plain,
! [SV111: $i,SV1: $i,SV282: $i] :
( ( ( ~ ( in @ SV282 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV282 @ SV282 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2259]) ).
thf(2372,plain,
! [SV113: $i,SV1: $i,SV283: $i] :
( ( ( ~ ( in @ SV283 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV283 @ SV283 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2260]) ).
thf(2373,plain,
! [SV113: $i,SV1: $i,SV284: $i] :
( ( ( ~ ( in @ SV284 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV284 @ SV284 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2374,plain,
! [SV113: $i,SV1: $i,SV285: $i] :
( ( ( ~ ( in @ SV285 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV285 @ SV285 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2262]) ).
thf(2375,plain,
! [SV75: $i,SV1: $i,SV250: $i] :
( ( ( in @ SV250 @ SV250 )
= $false )
| ( ( in @ SV250 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK128_SY195 @ SV75 @ SV1 ) @ ( sK60_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2376,plain,
! [SV75: $i,SV1: $i,SV251: $i] :
( ( ( in @ SV251 @ SV251 )
= $false )
| ( ( in @ SV251 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( SV75
= ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2377,plain,
! [SV75: $i,SV1: $i,SV252: $i] :
( ( ( in @ SV252 @ SV252 )
= $false )
| ( ( in @ SV252 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK60_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV75 @ ( sK128_SY195 @ SV75 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2378,plain,
! [SV77: $i,SV1: $i,SV253: $i] :
( ( ( in @ SV253 @ SV253 )
= $false )
| ( ( in @ SV253 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK129_SY196 @ SV77 @ SV1 ) @ ( sK61_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2379,plain,
! [SV77: $i,SV1: $i,SV254: $i] :
( ( ( in @ SV254 @ SV254 )
= $false )
| ( ( in @ SV254 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( SV77
= ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2380,plain,
! [SV77: $i,SV1: $i,SV255: $i] :
( ( ( in @ SV255 @ SV255 )
= $false )
| ( ( in @ SV255 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK28_SY57 @ SV1 ) @ ( sK28_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK8_SY55 @ SV1 )
= ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK61_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV77 @ ( sK129_SY196 @ SV77 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2274]) ).
thf(2381,plain,
! [SV79: $i,SV1: $i,SV256: $i] :
( ( ( in @ SV256 @ SV256 )
= $false )
| ( ( in @ SV256 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY197 @ SV79 @ SV1 ) @ ( sK62_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2275]) ).
thf(2382,plain,
! [SV79: $i,SV1: $i,SV257: $i] :
( ( ( in @ SV257 @ SV257 )
= $false )
| ( ( in @ SV257 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( SV79
= ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2383,plain,
! [SV79: $i,SV1: $i,SV258: $i] :
( ( ( in @ SV258 @ SV258 )
= $false )
| ( ( in @ SV258 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK62_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV79 @ ( sK130_SY197 @ SV79 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2384,plain,
! [SV81: $i,SV1: $i,SV259: $i] :
( ( ( in @ SV259 @ SV259 )
= $false )
| ( ( in @ SV259 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY198 @ SV81 @ SV1 ) @ ( sK63_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2385,plain,
! [SV81: $i,SV1: $i,SV260: $i] :
( ( ( in @ SV260 @ SV260 )
= $false )
| ( ( in @ SV260 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( SV81
= ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2386,plain,
! [SV81: $i,SV1: $i,SV261: $i] :
( ( ( in @ SV261 @ SV261 )
= $false )
| ( ( in @ SV261 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK29_SY57 @ SV1 ) @ ( sK29_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY55 @ SV1 ) @ ( sK10_SY82 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK63_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV81 @ ( sK131_SY198 @ SV81 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2387,plain,
! [SV91: $i,SV1: $i,SV262: $i] :
( ( ( in @ SV262 @ SV1 )
= $false )
| ( ( ~ ( in @ SV262 @ SV262 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2388,plain,
! [SV91: $i,SV1: $i,SV263: $i] :
( ( ( in @ SV263 @ SV1 )
= $false )
| ( ( ~ ( in @ SV263 @ SV263 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2389,plain,
! [SV91: $i,SV1: $i,SV264: $i] :
( ( ( in @ SV264 @ SV1 )
= $false )
| ( ( ~ ( in @ SV264 @ SV264 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2390,plain,
! [SV93: $i,SV1: $i,SV265: $i] :
( ( ( in @ SV265 @ SV1 )
= $false )
| ( ( ~ ( in @ SV265 @ SV265 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2391,plain,
! [SV93: $i,SV1: $i,SV266: $i] :
( ( ( in @ SV266 @ SV1 )
= $false )
| ( ( ~ ( in @ SV266 @ SV266 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2392,plain,
! [SV93: $i,SV1: $i,SV267: $i] :
( ( ( in @ SV267 @ SV1 )
= $false )
| ( ( ~ ( in @ SV267 @ SV267 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2393,plain,
! [SV115: $i,SV1: $i,SV286: $i] :
( ( ( ~ ( in @ SV286 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV286 @ SV286 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2299]) ).
thf(2394,plain,
! [SV115: $i,SV1: $i,SV287: $i] :
( ( ( ~ ( in @ SV287 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV287 @ SV287 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2300]) ).
thf(2395,plain,
! [SV115: $i,SV1: $i,SV288: $i] :
( ( ( ~ ( in @ SV288 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV288 @ SV288 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2301]) ).
thf(2396,plain,
! [SV117: $i,SV1: $i,SV289: $i] :
( ( ( ~ ( in @ SV289 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV289 @ SV289 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2302]) ).
thf(2397,plain,
! [SV117: $i,SV1: $i,SV290: $i] :
( ( ( ~ ( in @ SV290 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV290 @ SV290 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2303]) ).
thf(2398,plain,
! [SV117: $i,SV1: $i,SV291: $i] :
( ( ( ~ ( in @ SV291 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV291 @ SV291 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2304]) ).
thf(2399,plain,
! [SV119: $i,SV1: $i,SV292: $i] :
( ( ( ~ ( in @ SV292 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV292 @ SV292 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2305]) ).
thf(2400,plain,
! [SV119: $i,SV1: $i,SV293: $i] :
( ( ( ~ ( in @ SV293 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV293 @ SV293 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2306]) ).
thf(2401,plain,
! [SV119: $i,SV1: $i,SV294: $i] :
( ( ( ~ ( in @ SV294 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV294 @ SV294 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2307]) ).
thf(2402,plain,
! [SV121: $i,SV1: $i,SV295: $i] :
( ( ( ~ ( in @ SV295 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV295 @ SV295 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2308]) ).
thf(2403,plain,
! [SV121: $i,SV1: $i,SV296: $i] :
( ( ( ~ ( in @ SV296 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV296 @ SV296 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2309]) ).
thf(2404,plain,
! [SV121: $i,SV1: $i,SV297: $i] :
( ( ( ~ ( in @ SV297 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV297 @ SV297 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2310]) ).
thf(2405,plain,
! [SV99: $i,SV1: $i,SV268: $i] :
( ( ( in @ SV268 @ SV1 )
= $false )
| ( ( ~ ( in @ SV268 @ SV268 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2406,plain,
! [SV99: $i,SV1: $i,SV269: $i] :
( ( ( in @ SV269 @ SV1 )
= $false )
| ( ( ~ ( in @ SV269 @ SV269 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2407,plain,
! [SV99: $i,SV1: $i,SV270: $i] :
( ( ( in @ SV270 @ SV1 )
= $false )
| ( ( ~ ( in @ SV270 @ SV270 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2408,plain,
! [SV101: $i,SV1: $i,SV271: $i] :
( ( ( in @ SV271 @ SV1 )
= $false )
| ( ( ~ ( in @ SV271 @ SV271 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2409,plain,
! [SV101: $i,SV1: $i,SV272: $i] :
( ( ( in @ SV272 @ SV1 )
= $false )
| ( ( ~ ( in @ SV272 @ SV272 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2410,plain,
! [SV101: $i,SV1: $i,SV273: $i] :
( ( ( in @ SV273 @ SV1 )
= $false )
| ( ( ~ ( in @ SV273 @ SV273 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2316]) ).
thf(2411,plain,
! [SV135: $i,SV1: $i,SV310: $i] :
( ( ( ~ ( in @ SV310 @ SV1 )
| ~ ( in @ SV310 @ SV310 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2412,plain,
! [SV135: $i,SV1: $i,SV311: $i] :
( ( ( ~ ( in @ SV311 @ SV1 )
| ~ ( in @ SV311 @ SV311 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2318]) ).
thf(2413,plain,
! [SV135: $i,SV1: $i,SV312: $i] :
( ( ( ~ ( in @ SV312 @ SV1 )
| ~ ( in @ SV312 @ SV312 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2319]) ).
thf(2414,plain,
! [SV137: $i,SV1: $i,SV313: $i] :
( ( ( ~ ( in @ SV313 @ SV1 )
| ~ ( in @ SV313 @ SV313 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2415,plain,
! [SV137: $i,SV1: $i,SV314: $i] :
( ( ( ~ ( in @ SV314 @ SV1 )
| ~ ( in @ SV314 @ SV314 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2321]) ).
thf(2416,plain,
! [SV137: $i,SV1: $i,SV315: $i] :
( ( ( ~ ( in @ SV315 @ SV1 )
| ~ ( in @ SV315 @ SV315 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2322]) ).
thf(2417,plain,
! [SV1: $i,SV157: $i] :
( ( ( ~ ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2323]) ).
thf(2418,plain,
! [SV1: $i,SV157: $i] :
( ( ( ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
| ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) ) )
= $false )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2323]) ).
thf(2419,plain,
! [SV1: $i,SV159: $i] :
( ( ( ~ ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2324]) ).
thf(2420,plain,
! [SV1: $i,SV159: $i] :
( ( ( ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
| ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) ) )
= $false )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2324]) ).
thf(2421,plain,
! [SV1: $i,SV199: $i] :
( ( ( ~ ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) )
| ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
| ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2325]) ).
thf(2422,plain,
! [SV1: $i,SV201: $i] :
( ( ( ~ ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) )
| ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
| ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2326]) ).
thf(2423,plain,
! [SV1: $i,SV203: $i] :
( ( ( ~ ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) )
| ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
| ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2327]) ).
thf(2424,plain,
! [SV1: $i,SV205: $i] :
( ( ( ~ ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) )
| ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
| ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2328]) ).
thf(2425,plain,
! [SV1: $i,SV165: $i] :
( ( ( ~ ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2426,plain,
! [SV1: $i,SV165: $i] :
( ( ( ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
| ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2427,plain,
! [SV1: $i,SV167: $i] :
( ( ( ~ ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2330]) ).
thf(2428,plain,
! [SV1: $i,SV167: $i] :
( ( ( ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
| ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2330]) ).
thf(2429,plain,
! [SV139: $i,SV1: $i,SV316: $i] :
( ( ( ~ ( in @ SV316 @ SV1 )
| ~ ( in @ SV316 @ SV316 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2331]) ).
thf(2430,plain,
! [SV139: $i,SV1: $i,SV317: $i] :
( ( ( ~ ( in @ SV317 @ SV1 )
| ~ ( in @ SV317 @ SV317 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2431,plain,
! [SV139: $i,SV1: $i,SV318: $i] :
( ( ( ~ ( in @ SV318 @ SV1 )
| ~ ( in @ SV318 @ SV318 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2333]) ).
thf(2432,plain,
! [SV141: $i,SV1: $i,SV319: $i] :
( ( ( ~ ( in @ SV319 @ SV1 )
| ~ ( in @ SV319 @ SV319 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2433,plain,
! [SV141: $i,SV1: $i,SV320: $i] :
( ( ( ~ ( in @ SV320 @ SV1 )
| ~ ( in @ SV320 @ SV320 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2335]) ).
thf(2434,plain,
! [SV141: $i,SV1: $i,SV321: $i] :
( ( ( ~ ( in @ SV321 @ SV1 )
| ~ ( in @ SV321 @ SV321 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2336]) ).
thf(2435,plain,
! [SV1: $i,SV169: $i] :
( ( ( ~ ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2436,plain,
! [SV1: $i,SV169: $i] :
( ( ( ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
| ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) ) )
= $false )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2437,plain,
! [SV1: $i,SV171: $i] :
( ( ( ~ ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2438,plain,
! [SV1: $i,SV171: $i] :
( ( ( ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
| ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) ) )
= $false )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2439,plain,
! [SV1: $i,SV207: $i] :
( ( ( ~ ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) )
| ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
| ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2339]) ).
thf(2440,plain,
! [SV1: $i,SV209: $i] :
( ( ( ~ ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) )
| ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
| ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2340]) ).
thf(2441,plain,
! [SV1: $i,SV211: $i] :
( ( ( ~ ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) )
| ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
| ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2341]) ).
thf(2442,plain,
! [SV1: $i,SV213: $i] :
( ( ( ~ ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) )
| ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
| ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2342]) ).
thf(2443,plain,
! [SV1: $i,SV177: $i] :
( ( ( ~ ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2343]) ).
thf(2444,plain,
! [SV1: $i,SV177: $i] :
( ( ( ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
| ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2343]) ).
thf(2445,plain,
! [SV1: $i,SV179: $i] :
( ( ( ~ ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2344]) ).
thf(2446,plain,
! [SV1: $i,SV179: $i] :
( ( ( ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
| ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2344]) ).
thf(2447,plain,
! [SV103: $i,SV1: $i,SV274: $i] :
( ( ( in @ SV274 @ SV1 )
= $false )
| ( ( ~ ( in @ SV274 @ SV274 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2448,plain,
! [SV103: $i,SV1: $i,SV275: $i] :
( ( ( in @ SV275 @ SV1 )
= $false )
| ( ( ~ ( in @ SV275 @ SV275 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2449,plain,
! [SV103: $i,SV1: $i,SV276: $i] :
( ( ( in @ SV276 @ SV1 )
= $false )
| ( ( ~ ( in @ SV276 @ SV276 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2450,plain,
! [SV105: $i,SV1: $i,SV277: $i] :
( ( ( in @ SV277 @ SV1 )
= $false )
| ( ( ~ ( in @ SV277 @ SV277 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2451,plain,
! [SV105: $i,SV1: $i,SV278: $i] :
( ( ( in @ SV278 @ SV1 )
= $false )
| ( ( ~ ( in @ SV278 @ SV278 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2452,plain,
! [SV105: $i,SV1: $i,SV279: $i] :
( ( ( in @ SV279 @ SV1 )
= $false )
| ( ( ~ ( in @ SV279 @ SV279 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2453,plain,
! [SV127: $i,SV1: $i,SV298: $i] :
( ( ( ~ ( in @ SV298 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV298 @ SV298 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2357]) ).
thf(2454,plain,
! [SV127: $i,SV1: $i,SV299: $i] :
( ( ( ~ ( in @ SV299 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV299 @ SV299 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2358]) ).
thf(2455,plain,
! [SV127: $i,SV1: $i,SV300: $i] :
( ( ( ~ ( in @ SV300 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV300 @ SV300 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2359]) ).
thf(2456,plain,
! [SV129: $i,SV1: $i,SV301: $i] :
( ( ( ~ ( in @ SV301 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV301 @ SV301 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2360]) ).
thf(2457,plain,
! [SV129: $i,SV1: $i,SV302: $i] :
( ( ( ~ ( in @ SV302 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV302 @ SV302 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2361]) ).
thf(2458,plain,
! [SV129: $i,SV1: $i,SV303: $i] :
( ( ( ~ ( in @ SV303 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV303 @ SV303 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2362]) ).
thf(2459,plain,
! [SV131: $i,SV1: $i,SV304: $i] :
( ( ( ~ ( in @ SV304 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV304 @ SV304 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2363]) ).
thf(2460,plain,
! [SV131: $i,SV1: $i,SV305: $i] :
( ( ( ~ ( in @ SV305 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV305 @ SV305 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2364]) ).
thf(2461,plain,
! [SV131: $i,SV1: $i,SV306: $i] :
( ( ( ~ ( in @ SV306 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV306 @ SV306 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2365]) ).
thf(2462,plain,
! [SV133: $i,SV1: $i,SV307: $i] :
( ( ( ~ ( in @ SV307 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV307 @ SV307 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2463,plain,
! [SV133: $i,SV1: $i,SV308: $i] :
( ( ( ~ ( in @ SV308 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV308 @ SV308 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2367]) ).
thf(2464,plain,
! [SV133: $i,SV1: $i,SV309: $i] :
( ( ( ~ ( in @ SV309 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV309 @ SV309 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2465,plain,
! [SV111: $i,SV1: $i,SV280: $i] :
( ( ( in @ SV280 @ SV1 )
= $false )
| ( ( ~ ( in @ SV280 @ SV280 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2466,plain,
! [SV111: $i,SV1: $i,SV281: $i] :
( ( ( in @ SV281 @ SV1 )
= $false )
| ( ( ~ ( in @ SV281 @ SV281 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2370]) ).
thf(2467,plain,
! [SV111: $i,SV1: $i,SV282: $i] :
( ( ( in @ SV282 @ SV1 )
= $false )
| ( ( ~ ( in @ SV282 @ SV282 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2468,plain,
! [SV113: $i,SV1: $i,SV283: $i] :
( ( ( in @ SV283 @ SV1 )
= $false )
| ( ( ~ ( in @ SV283 @ SV283 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2469,plain,
! [SV113: $i,SV1: $i,SV284: $i] :
( ( ( in @ SV284 @ SV1 )
= $false )
| ( ( ~ ( in @ SV284 @ SV284 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2373]) ).
thf(2470,plain,
! [SV113: $i,SV1: $i,SV285: $i] :
( ( ( in @ SV285 @ SV1 )
= $false )
| ( ( ~ ( in @ SV285 @ SV285 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2374]) ).
thf(2471,plain,
! [SV91: $i,SV1: $i,SV262: $i] :
( ( ( in @ SV262 @ SV262 )
= $false )
| ( ( in @ SV262 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK132_SY199 @ SV91 @ SV1 ) @ ( sK64_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2472,plain,
! [SV91: $i,SV1: $i,SV263: $i] :
( ( ( in @ SV263 @ SV263 )
= $false )
| ( ( in @ SV263 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( SV91
= ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2388]) ).
thf(2473,plain,
! [SV91: $i,SV1: $i,SV264: $i] :
( ( ( in @ SV264 @ SV264 )
= $false )
| ( ( in @ SV264 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV91 @ ( sK64_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV91 @ ( sK132_SY199 @ SV91 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2474,plain,
! [SV93: $i,SV1: $i,SV265: $i] :
( ( ( in @ SV265 @ SV265 )
= $false )
| ( ( in @ SV265 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK133_SY200 @ SV93 @ SV1 ) @ ( sK65_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2475,plain,
! [SV93: $i,SV1: $i,SV266: $i] :
( ( ( in @ SV266 @ SV266 )
= $false )
| ( ( in @ SV266 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( SV93
= ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2391]) ).
thf(2476,plain,
! [SV93: $i,SV1: $i,SV267: $i] :
( ( ( in @ SV267 @ SV267 )
= $false )
| ( ( in @ SV267 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK36_SY57 @ SV1 ) @ ( sK36_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV93 @ ( sK65_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV93 @ ( sK133_SY200 @ SV93 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2477,plain,
! [SV115: $i,SV1: $i,SV286: $i] :
( ( ( in @ SV286 @ SV1 )
= $false )
| ( ( ~ ( in @ SV286 @ SV286 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2393]) ).
thf(2478,plain,
! [SV115: $i,SV1: $i,SV287: $i] :
( ( ( in @ SV287 @ SV1 )
= $false )
| ( ( ~ ( in @ SV287 @ SV287 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2394]) ).
thf(2479,plain,
! [SV115: $i,SV1: $i,SV288: $i] :
( ( ( in @ SV288 @ SV1 )
= $false )
| ( ( ~ ( in @ SV288 @ SV288 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2480,plain,
! [SV117: $i,SV1: $i,SV289: $i] :
( ( ( in @ SV289 @ SV1 )
= $false )
| ( ( ~ ( in @ SV289 @ SV289 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2396]) ).
thf(2481,plain,
! [SV117: $i,SV1: $i,SV290: $i] :
( ( ( in @ SV290 @ SV1 )
= $false )
| ( ( ~ ( in @ SV290 @ SV290 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2482,plain,
! [SV117: $i,SV1: $i,SV291: $i] :
( ( ( in @ SV291 @ SV1 )
= $false )
| ( ( ~ ( in @ SV291 @ SV291 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2398]) ).
thf(2483,plain,
! [SV119: $i,SV1: $i,SV292: $i] :
( ( ( in @ SV292 @ SV1 )
= $false )
| ( ( ~ ( in @ SV292 @ SV292 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2484,plain,
! [SV119: $i,SV1: $i,SV293: $i] :
( ( ( in @ SV293 @ SV1 )
= $false )
| ( ( ~ ( in @ SV293 @ SV293 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2485,plain,
! [SV119: $i,SV1: $i,SV294: $i] :
( ( ( in @ SV294 @ SV1 )
= $false )
| ( ( ~ ( in @ SV294 @ SV294 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2401]) ).
thf(2486,plain,
! [SV121: $i,SV1: $i,SV295: $i] :
( ( ( in @ SV295 @ SV1 )
= $false )
| ( ( ~ ( in @ SV295 @ SV295 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2487,plain,
! [SV121: $i,SV1: $i,SV296: $i] :
( ( ( in @ SV296 @ SV1 )
= $false )
| ( ( ~ ( in @ SV296 @ SV296 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2403]) ).
thf(2488,plain,
! [SV121: $i,SV1: $i,SV297: $i] :
( ( ( in @ SV297 @ SV1 )
= $false )
| ( ( ~ ( in @ SV297 @ SV297 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2404]) ).
thf(2489,plain,
! [SV99: $i,SV1: $i,SV268: $i] :
( ( ( in @ SV268 @ SV268 )
= $false )
| ( ( in @ SV268 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK134_SY201 @ SV99 @ SV1 ) @ ( sK66_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2405]) ).
thf(2490,plain,
! [SV99: $i,SV1: $i,SV269: $i] :
( ( ( in @ SV269 @ SV269 )
= $false )
| ( ( in @ SV269 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( SV99
= ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2491,plain,
! [SV99: $i,SV1: $i,SV270: $i] :
( ( ( in @ SV270 @ SV270 )
= $false )
| ( ( in @ SV270 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK66_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV99 @ ( sK134_SY201 @ SV99 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2492,plain,
! [SV101: $i,SV1: $i,SV271: $i] :
( ( ( in @ SV271 @ SV271 )
= $false )
| ( ( in @ SV271 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK135_SY202 @ SV101 @ SV1 ) @ ( sK67_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2408]) ).
thf(2493,plain,
! [SV101: $i,SV1: $i,SV272: $i] :
( ( ( in @ SV272 @ SV272 )
= $false )
| ( ( in @ SV272 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( SV101
= ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2494,plain,
! [SV101: $i,SV1: $i,SV273: $i] :
( ( ( in @ SV273 @ SV273 )
= $false )
| ( ( in @ SV273 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK37_SY57 @ SV1 ) @ ( sK37_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY83 @ SV1 ) @ ( sK11_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK67_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV101 @ ( sK135_SY202 @ SV101 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2410]) ).
thf(2495,plain,
! [SV135: $i,SV1: $i,SV310: $i] :
( ( ( ~ ( in @ SV310 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV310 @ SV310 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2496,plain,
! [SV135: $i,SV1: $i,SV311: $i] :
( ( ( ~ ( in @ SV311 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV311 @ SV311 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2412]) ).
thf(2497,plain,
! [SV135: $i,SV1: $i,SV312: $i] :
( ( ( ~ ( in @ SV312 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV312 @ SV312 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2413]) ).
thf(2498,plain,
! [SV137: $i,SV1: $i,SV313: $i] :
( ( ( ~ ( in @ SV313 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV313 @ SV313 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2414]) ).
thf(2499,plain,
! [SV137: $i,SV1: $i,SV314: $i] :
( ( ( ~ ( in @ SV314 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV314 @ SV314 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2415]) ).
thf(2500,plain,
! [SV137: $i,SV1: $i,SV315: $i] :
( ( ( ~ ( in @ SV315 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV315 @ SV315 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2416]) ).
thf(2501,plain,
! [SV1: $i,SV157: $i] :
( ( ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2417]) ).
thf(2502,plain,
! [SV1: $i,SV157: $i] :
( ( ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
= $false )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2503,plain,
! [SV1: $i,SV157: $i] :
( ( ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) )
= $false )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2504,plain,
! [SV1: $i,SV159: $i] :
( ( ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2419]) ).
thf(2505,plain,
! [SV1: $i,SV159: $i] :
( ( ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
= $false )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2506,plain,
! [SV1: $i,SV159: $i] :
( ( ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) )
= $false )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2507,plain,
! [SV1: $i,SV199: $i] :
( ( ( ~ ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2508,plain,
! [SV1: $i,SV199: $i] :
( ( ( ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
| ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2509,plain,
! [SV1: $i,SV201: $i] :
( ( ( ~ ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2510,plain,
! [SV1: $i,SV201: $i] :
( ( ( ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
| ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2511,plain,
! [SV1: $i,SV203: $i] :
( ( ( ~ ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2512,plain,
! [SV1: $i,SV203: $i] :
( ( ( ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
| ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2513,plain,
! [SV1: $i,SV205: $i] :
( ( ( ~ ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2514,plain,
! [SV1: $i,SV205: $i] :
( ( ( ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
| ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2515,plain,
! [SV1: $i,SV165: $i] :
( ( ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2516,plain,
! [SV1: $i,SV165: $i] :
( ( ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2517,plain,
! [SV1: $i,SV165: $i] :
( ( ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2518,plain,
! [SV1: $i,SV167: $i] :
( ( ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2427]) ).
thf(2519,plain,
! [SV1: $i,SV167: $i] :
( ( ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2520,plain,
! [SV1: $i,SV167: $i] :
( ( ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2521,plain,
! [SV139: $i,SV1: $i,SV316: $i] :
( ( ( ~ ( in @ SV316 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV316 @ SV316 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2429]) ).
thf(2522,plain,
! [SV139: $i,SV1: $i,SV317: $i] :
( ( ( ~ ( in @ SV317 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV317 @ SV317 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2523,plain,
! [SV139: $i,SV1: $i,SV318: $i] :
( ( ( ~ ( in @ SV318 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV318 @ SV318 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2524,plain,
! [SV141: $i,SV1: $i,SV319: $i] :
( ( ( ~ ( in @ SV319 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV319 @ SV319 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2432]) ).
thf(2525,plain,
! [SV141: $i,SV1: $i,SV320: $i] :
( ( ( ~ ( in @ SV320 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV320 @ SV320 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2433]) ).
thf(2526,plain,
! [SV141: $i,SV1: $i,SV321: $i] :
( ( ( ~ ( in @ SV321 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV321 @ SV321 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2527,plain,
! [SV1: $i,SV169: $i] :
( ( ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2435]) ).
thf(2528,plain,
! [SV1: $i,SV169: $i] :
( ( ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
= $false )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2436]) ).
thf(2529,plain,
! [SV1: $i,SV169: $i] :
( ( ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) )
= $false )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2436]) ).
thf(2530,plain,
! [SV1: $i,SV171: $i] :
( ( ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2531,plain,
! [SV1: $i,SV171: $i] :
( ( ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
= $false )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2532,plain,
! [SV1: $i,SV171: $i] :
( ( ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) )
= $false )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2533,plain,
! [SV1: $i,SV207: $i] :
( ( ( ~ ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2439]) ).
thf(2534,plain,
! [SV1: $i,SV207: $i] :
( ( ( ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
| ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2439]) ).
thf(2535,plain,
! [SV1: $i,SV209: $i] :
( ( ( ~ ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2536,plain,
! [SV1: $i,SV209: $i] :
( ( ( ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
| ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2537,plain,
! [SV1: $i,SV211: $i] :
( ( ( ~ ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2538,plain,
! [SV1: $i,SV211: $i] :
( ( ( ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
| ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2539,plain,
! [SV1: $i,SV213: $i] :
( ( ( ~ ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2540,plain,
! [SV1: $i,SV213: $i] :
( ( ( ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
| ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2541,plain,
! [SV1: $i,SV177: $i] :
( ( ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2443]) ).
thf(2542,plain,
! [SV1: $i,SV177: $i] :
( ( ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2543,plain,
! [SV1: $i,SV177: $i] :
( ( ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2544,plain,
! [SV1: $i,SV179: $i] :
( ( ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2445]) ).
thf(2545,plain,
! [SV1: $i,SV179: $i] :
( ( ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2546,plain,
! [SV1: $i,SV179: $i] :
( ( ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2547,plain,
! [SV103: $i,SV1: $i,SV274: $i] :
( ( ( in @ SV274 @ SV274 )
= $false )
| ( ( in @ SV274 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK136_SY219 @ SV103 @ SV1 ) @ ( sK72_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2548,plain,
! [SV103: $i,SV1: $i,SV275: $i] :
( ( ( in @ SV275 @ SV275 )
= $false )
| ( ( in @ SV275 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( SV103
= ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2549,plain,
! [SV103: $i,SV1: $i,SV276: $i] :
( ( ( in @ SV276 @ SV276 )
= $false )
| ( ( in @ SV276 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV103 @ ( sK72_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV103 @ ( sK136_SY219 @ SV103 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2550,plain,
! [SV105: $i,SV1: $i,SV277: $i] :
( ( ( in @ SV277 @ SV277 )
= $false )
| ( ( in @ SV277 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK137_SY220 @ SV105 @ SV1 ) @ ( sK73_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2551,plain,
! [SV105: $i,SV1: $i,SV278: $i] :
( ( ( in @ SV278 @ SV278 )
= $false )
| ( ( in @ SV278 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( SV105
= ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2552,plain,
! [SV105: $i,SV1: $i,SV279: $i] :
( ( ( in @ SV279 @ SV279 )
= $false )
| ( ( in @ SV279 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK40_SY57 @ SV1 ) @ ( sK40_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV105 @ ( sK73_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV105 @ ( sK137_SY220 @ SV105 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2553,plain,
! [SV127: $i,SV1: $i,SV298: $i] :
( ( ( in @ SV298 @ SV1 )
= $false )
| ( ( ~ ( in @ SV298 @ SV298 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2554,plain,
! [SV127: $i,SV1: $i,SV299: $i] :
( ( ( in @ SV299 @ SV1 )
= $false )
| ( ( ~ ( in @ SV299 @ SV299 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2555,plain,
! [SV127: $i,SV1: $i,SV300: $i] :
( ( ( in @ SV300 @ SV1 )
= $false )
| ( ( ~ ( in @ SV300 @ SV300 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2556,plain,
! [SV129: $i,SV1: $i,SV301: $i] :
( ( ( in @ SV301 @ SV1 )
= $false )
| ( ( ~ ( in @ SV301 @ SV301 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2557,plain,
! [SV129: $i,SV1: $i,SV302: $i] :
( ( ( in @ SV302 @ SV1 )
= $false )
| ( ( ~ ( in @ SV302 @ SV302 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2558,plain,
! [SV129: $i,SV1: $i,SV303: $i] :
( ( ( in @ SV303 @ SV1 )
= $false )
| ( ( ~ ( in @ SV303 @ SV303 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2559,plain,
! [SV131: $i,SV1: $i,SV304: $i] :
( ( ( in @ SV304 @ SV1 )
= $false )
| ( ( ~ ( in @ SV304 @ SV304 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2560,plain,
! [SV131: $i,SV1: $i,SV305: $i] :
( ( ( in @ SV305 @ SV1 )
= $false )
| ( ( ~ ( in @ SV305 @ SV305 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2561,plain,
! [SV131: $i,SV1: $i,SV306: $i] :
( ( ( in @ SV306 @ SV1 )
= $false )
| ( ( ~ ( in @ SV306 @ SV306 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2562,plain,
! [SV133: $i,SV1: $i,SV307: $i] :
( ( ( in @ SV307 @ SV1 )
= $false )
| ( ( ~ ( in @ SV307 @ SV307 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2563,plain,
! [SV133: $i,SV1: $i,SV308: $i] :
( ( ( in @ SV308 @ SV1 )
= $false )
| ( ( ~ ( in @ SV308 @ SV308 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2564,plain,
! [SV133: $i,SV1: $i,SV309: $i] :
( ( ( in @ SV309 @ SV1 )
= $false )
| ( ( ~ ( in @ SV309 @ SV309 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2464]) ).
thf(2565,plain,
! [SV111: $i,SV1: $i,SV280: $i] :
( ( ( in @ SV280 @ SV280 )
= $false )
| ( ( in @ SV280 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY221 @ SV111 @ SV1 ) @ ( sK74_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2465]) ).
thf(2566,plain,
! [SV111: $i,SV1: $i,SV281: $i] :
( ( ( in @ SV281 @ SV281 )
= $false )
| ( ( in @ SV281 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( SV111
= ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2567,plain,
! [SV111: $i,SV1: $i,SV282: $i] :
( ( ( in @ SV282 @ SV282 )
= $false )
| ( ( in @ SV282 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK74_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV111 @ ( sK138_SY221 @ SV111 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2568,plain,
! [SV113: $i,SV1: $i,SV283: $i] :
( ( ( in @ SV283 @ SV283 )
= $false )
| ( ( in @ SV283 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY222 @ SV113 @ SV1 ) @ ( sK75_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2569,plain,
! [SV113: $i,SV1: $i,SV284: $i] :
( ( ( in @ SV284 @ SV284 )
= $false )
| ( ( in @ SV284 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( SV113
= ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2570,plain,
! [SV113: $i,SV1: $i,SV285: $i] :
( ( ( in @ SV285 @ SV285 )
= $false )
| ( ( in @ SV285 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK41_SY57 @ SV1 ) @ ( sK41_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY84 @ SV1 ) @ ( sK12_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK75_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV113 @ ( sK139_SY222 @ SV113 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2571,plain,
! [SV115: $i,SV1: $i,SV286: $i] :
( ( ( in @ SV286 @ SV286 )
= $false )
| ( ( in @ SV286 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK140_SY223 @ SV115 @ SV1 ) @ ( sK76_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2477]) ).
thf(2572,plain,
! [SV115: $i,SV1: $i,SV287: $i] :
( ( ( in @ SV287 @ SV287 )
= $false )
| ( ( in @ SV287 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( SV115
= ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2573,plain,
! [SV115: $i,SV1: $i,SV288: $i] :
( ( ( in @ SV288 @ SV288 )
= $false )
| ( ( in @ SV288 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK76_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV115 @ ( sK140_SY223 @ SV115 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2574,plain,
! [SV117: $i,SV1: $i,SV289: $i] :
( ( ( in @ SV289 @ SV289 )
= $false )
| ( ( in @ SV289 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK141_SY224 @ SV117 @ SV1 ) @ ( sK77_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2480]) ).
thf(2575,plain,
! [SV117: $i,SV1: $i,SV290: $i] :
( ( ( in @ SV290 @ SV290 )
= $false )
| ( ( in @ SV290 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( SV117
= ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2481]) ).
thf(2576,plain,
! [SV117: $i,SV1: $i,SV291: $i] :
( ( ( in @ SV291 @ SV291 )
= $false )
| ( ( in @ SV291 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK46_SY57 @ SV1 ) @ ( sK46_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK11_SY55 @ SV1 )
= ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK77_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV117 @ ( sK141_SY224 @ SV117 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2577,plain,
! [SV119: $i,SV1: $i,SV292: $i] :
( ( ( in @ SV292 @ SV292 )
= $false )
| ( ( in @ SV292 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY225 @ SV119 @ SV1 ) @ ( sK78_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2578,plain,
! [SV119: $i,SV1: $i,SV293: $i] :
( ( ( in @ SV293 @ SV293 )
= $false )
| ( ( in @ SV293 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( SV119
= ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2484]) ).
thf(2579,plain,
! [SV119: $i,SV1: $i,SV294: $i] :
( ( ( in @ SV294 @ SV294 )
= $false )
| ( ( in @ SV294 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK78_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV119 @ ( sK142_SY225 @ SV119 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2580,plain,
! [SV121: $i,SV1: $i,SV295: $i] :
( ( ( in @ SV295 @ SV295 )
= $false )
| ( ( in @ SV295 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY226 @ SV121 @ SV1 ) @ ( sK79_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2581,plain,
! [SV121: $i,SV1: $i,SV296: $i] :
( ( ( in @ SV296 @ SV296 )
= $false )
| ( ( in @ SV296 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( SV121
= ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2487]) ).
thf(2582,plain,
! [SV121: $i,SV1: $i,SV297: $i] :
( ( ( in @ SV297 @ SV297 )
= $false )
| ( ( in @ SV297 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK47_SY57 @ SV1 ) @ ( sK47_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY79 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY55 @ SV1 ) @ ( sK16_SY83 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK79_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV121 @ ( sK143_SY226 @ SV121 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2583,plain,
! [SV135: $i,SV1: $i,SV310: $i] :
( ( ( in @ SV310 @ SV1 )
= $false )
| ( ( ~ ( in @ SV310 @ SV310 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2584,plain,
! [SV135: $i,SV1: $i,SV311: $i] :
( ( ( in @ SV311 @ SV1 )
= $false )
| ( ( ~ ( in @ SV311 @ SV311 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2585,plain,
! [SV135: $i,SV1: $i,SV312: $i] :
( ( ( in @ SV312 @ SV1 )
= $false )
| ( ( ~ ( in @ SV312 @ SV312 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2497]) ).
thf(2586,plain,
! [SV137: $i,SV1: $i,SV313: $i] :
( ( ( in @ SV313 @ SV1 )
= $false )
| ( ( ~ ( in @ SV313 @ SV313 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2587,plain,
! [SV137: $i,SV1: $i,SV314: $i] :
( ( ( in @ SV314 @ SV1 )
= $false )
| ( ( ~ ( in @ SV314 @ SV314 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2499]) ).
thf(2588,plain,
! [SV137: $i,SV1: $i,SV315: $i] :
( ( ( in @ SV315 @ SV1 )
= $false )
| ( ( ~ ( in @ SV315 @ SV315 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2589,plain,
! [SV157: $i,SV1: $i,SV322: $i] :
( ( ( ~ ( in @ SV322 @ SV1 )
| ~ ( in @ SV322 @ SV322 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2590,plain,
! [SV157: $i,SV1: $i,SV323: $i] :
( ( ( ~ ( in @ SV323 @ SV1 )
| ~ ( in @ SV323 @ SV323 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2502]) ).
thf(2591,plain,
! [SV157: $i,SV1: $i,SV324: $i] :
( ( ( ~ ( in @ SV324 @ SV1 )
| ~ ( in @ SV324 @ SV324 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2592,plain,
! [SV159: $i,SV1: $i,SV325: $i] :
( ( ( ~ ( in @ SV325 @ SV1 )
| ~ ( in @ SV325 @ SV325 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2593,plain,
! [SV159: $i,SV1: $i,SV326: $i] :
( ( ( ~ ( in @ SV326 @ SV1 )
| ~ ( in @ SV326 @ SV326 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2505]) ).
thf(2594,plain,
! [SV159: $i,SV1: $i,SV327: $i] :
( ( ( ~ ( in @ SV327 @ SV1 )
| ~ ( in @ SV327 @ SV327 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2506]) ).
thf(2595,plain,
! [SV1: $i,SV199: $i] :
( ( ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2507]) ).
thf(2596,plain,
! [SV1: $i,SV199: $i] :
( ( ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2508]) ).
thf(2597,plain,
! [SV1: $i,SV199: $i] :
( ( ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2508]) ).
thf(2598,plain,
! [SV1: $i,SV201: $i] :
( ( ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2509]) ).
thf(2599,plain,
! [SV1: $i,SV201: $i] :
( ( ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2510]) ).
thf(2600,plain,
! [SV1: $i,SV201: $i] :
( ( ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2510]) ).
thf(2601,plain,
! [SV1: $i,SV203: $i] :
( ( ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2511]) ).
thf(2602,plain,
! [SV1: $i,SV203: $i] :
( ( ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2512]) ).
thf(2603,plain,
! [SV1: $i,SV203: $i] :
( ( ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2512]) ).
thf(2604,plain,
! [SV1: $i,SV205: $i] :
( ( ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2513]) ).
thf(2605,plain,
! [SV1: $i,SV205: $i] :
( ( ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2514]) ).
thf(2606,plain,
! [SV1: $i,SV205: $i] :
( ( ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2514]) ).
thf(2607,plain,
! [SV165: $i,SV1: $i,SV328: $i] :
( ( ( ~ ( in @ SV328 @ SV1 )
| ~ ( in @ SV328 @ SV328 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2608,plain,
! [SV165: $i,SV1: $i,SV329: $i] :
( ( ( ~ ( in @ SV329 @ SV1 )
| ~ ( in @ SV329 @ SV329 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2609,plain,
! [SV165: $i,SV1: $i,SV330: $i] :
( ( ( ~ ( in @ SV330 @ SV1 )
| ~ ( in @ SV330 @ SV330 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2517]) ).
thf(2610,plain,
! [SV167: $i,SV1: $i,SV331: $i] :
( ( ( ~ ( in @ SV331 @ SV1 )
| ~ ( in @ SV331 @ SV331 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2611,plain,
! [SV167: $i,SV1: $i,SV332: $i] :
( ( ( ~ ( in @ SV332 @ SV1 )
| ~ ( in @ SV332 @ SV332 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2519]) ).
thf(2612,plain,
! [SV167: $i,SV1: $i,SV333: $i] :
( ( ( ~ ( in @ SV333 @ SV1 )
| ~ ( in @ SV333 @ SV333 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2613,plain,
! [SV139: $i,SV1: $i,SV316: $i] :
( ( ( in @ SV316 @ SV1 )
= $false )
| ( ( ~ ( in @ SV316 @ SV316 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2614,plain,
! [SV139: $i,SV1: $i,SV317: $i] :
( ( ( in @ SV317 @ SV1 )
= $false )
| ( ( ~ ( in @ SV317 @ SV317 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2522]) ).
thf(2615,plain,
! [SV139: $i,SV1: $i,SV318: $i] :
( ( ( in @ SV318 @ SV1 )
= $false )
| ( ( ~ ( in @ SV318 @ SV318 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2523]) ).
thf(2616,plain,
! [SV141: $i,SV1: $i,SV319: $i] :
( ( ( in @ SV319 @ SV1 )
= $false )
| ( ( ~ ( in @ SV319 @ SV319 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2617,plain,
! [SV141: $i,SV1: $i,SV320: $i] :
( ( ( in @ SV320 @ SV1 )
= $false )
| ( ( ~ ( in @ SV320 @ SV320 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2618,plain,
! [SV141: $i,SV1: $i,SV321: $i] :
( ( ( in @ SV321 @ SV1 )
= $false )
| ( ( ~ ( in @ SV321 @ SV321 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2526]) ).
thf(2619,plain,
! [SV169: $i,SV1: $i,SV334: $i] :
( ( ( ~ ( in @ SV334 @ SV1 )
| ~ ( in @ SV334 @ SV334 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2620,plain,
! [SV169: $i,SV1: $i,SV335: $i] :
( ( ( ~ ( in @ SV335 @ SV1 )
| ~ ( in @ SV335 @ SV335 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(2621,plain,
! [SV169: $i,SV1: $i,SV336: $i] :
( ( ( ~ ( in @ SV336 @ SV1 )
| ~ ( in @ SV336 @ SV336 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2622,plain,
! [SV171: $i,SV1: $i,SV337: $i] :
( ( ( ~ ( in @ SV337 @ SV1 )
| ~ ( in @ SV337 @ SV337 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2623,plain,
! [SV171: $i,SV1: $i,SV338: $i] :
( ( ( ~ ( in @ SV338 @ SV1 )
| ~ ( in @ SV338 @ SV338 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2624,plain,
! [SV171: $i,SV1: $i,SV339: $i] :
( ( ( ~ ( in @ SV339 @ SV1 )
| ~ ( in @ SV339 @ SV339 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2625,plain,
! [SV1: $i,SV207: $i] :
( ( ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2626,plain,
! [SV1: $i,SV207: $i] :
( ( ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2534]) ).
thf(2627,plain,
! [SV1: $i,SV207: $i] :
( ( ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2534]) ).
thf(2628,plain,
! [SV1: $i,SV209: $i] :
( ( ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2535]) ).
thf(2629,plain,
! [SV1: $i,SV209: $i] :
( ( ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2536]) ).
thf(2630,plain,
! [SV1: $i,SV209: $i] :
( ( ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2536]) ).
thf(2631,plain,
! [SV1: $i,SV211: $i] :
( ( ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2537]) ).
thf(2632,plain,
! [SV1: $i,SV211: $i] :
( ( ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2633,plain,
! [SV1: $i,SV211: $i] :
( ( ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2634,plain,
! [SV1: $i,SV213: $i] :
( ( ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) )
= $true )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2635,plain,
! [SV1: $i,SV213: $i] :
( ( ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2540]) ).
thf(2636,plain,
! [SV1: $i,SV213: $i] :
( ( ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in @ SY61 @ SV1 )
| ~ ( in @ SY61 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2540]) ).
thf(2637,plain,
! [SV177: $i,SV1: $i,SV340: $i] :
( ( ( ~ ( in @ SV340 @ SV1 )
| ~ ( in @ SV340 @ SV340 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2541]) ).
thf(2638,plain,
! [SV177: $i,SV1: $i,SV341: $i] :
( ( ( ~ ( in @ SV341 @ SV1 )
| ~ ( in @ SV341 @ SV341 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2639,plain,
! [SV177: $i,SV1: $i,SV342: $i] :
( ( ( ~ ( in @ SV342 @ SV1 )
| ~ ( in @ SV342 @ SV342 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2640,plain,
! [SV179: $i,SV1: $i,SV343: $i] :
( ( ( ~ ( in @ SV343 @ SV1 )
| ~ ( in @ SV343 @ SV343 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(2641,plain,
! [SV179: $i,SV1: $i,SV344: $i] :
( ( ( ~ ( in @ SV344 @ SV1 )
| ~ ( in @ SV344 @ SV344 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(2642,plain,
! [SV179: $i,SV1: $i,SV345: $i] :
( ( ( ~ ( in @ SV345 @ SV1 )
| ~ ( in @ SV345 @ SV345 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2643,plain,
! [SV127: $i,SV1: $i,SV298: $i] :
( ( ( in @ SV298 @ SV298 )
= $false )
| ( ( in @ SV298 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK144_SY243 @ SV127 @ SV1 ) @ ( sK84_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2553]) ).
thf(2644,plain,
! [SV127: $i,SV1: $i,SV299: $i] :
( ( ( in @ SV299 @ SV299 )
= $false )
| ( ( in @ SV299 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( SV127
= ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2554]) ).
thf(2645,plain,
! [SV127: $i,SV1: $i,SV300: $i] :
( ( ( in @ SV300 @ SV300 )
= $false )
| ( ( in @ SV300 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK84_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV127 @ ( sK144_SY243 @ SV127 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2555]) ).
thf(2646,plain,
! [SV129: $i,SV1: $i,SV301: $i] :
( ( ( in @ SV301 @ SV301 )
= $false )
| ( ( in @ SV301 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK145_SY244 @ SV129 @ SV1 ) @ ( sK85_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2556]) ).
thf(2647,plain,
! [SV129: $i,SV1: $i,SV302: $i] :
( ( ( in @ SV302 @ SV302 )
= $false )
| ( ( in @ SV302 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( SV129
= ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2557]) ).
thf(2648,plain,
! [SV129: $i,SV1: $i,SV303: $i] :
( ( ( in @ SV303 @ SV303 )
= $false )
| ( ( in @ SV303 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK48_SY57 @ SV1 ) @ ( sK48_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( ( sK12_SY55 @ SV1 )
= ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK85_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV129 @ ( sK145_SY244 @ SV129 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2558]) ).
thf(2649,plain,
! [SV131: $i,SV1: $i,SV304: $i] :
( ( ( in @ SV304 @ SV304 )
= $false )
| ( ( in @ SV304 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK146_SY245 @ SV131 @ SV1 ) @ ( sK86_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2559]) ).
thf(2650,plain,
! [SV131: $i,SV1: $i,SV305: $i] :
( ( ( in @ SV305 @ SV305 )
= $false )
| ( ( in @ SV305 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( SV131
= ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2560]) ).
thf(2651,plain,
! [SV131: $i,SV1: $i,SV306: $i] :
( ( ( in @ SV306 @ SV306 )
= $false )
| ( ( in @ SV306 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK86_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV131 @ ( sK146_SY245 @ SV131 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2652,plain,
! [SV133: $i,SV1: $i,SV307: $i] :
( ( ( in @ SV307 @ SV307 )
= $false )
| ( ( in @ SV307 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK147_SY246 @ SV133 @ SV1 ) @ ( sK87_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2562]) ).
thf(2653,plain,
! [SV133: $i,SV1: $i,SV308: $i] :
( ( ( in @ SV308 @ SV308 )
= $false )
| ( ( in @ SV308 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( SV133
= ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2563]) ).
thf(2654,plain,
! [SV133: $i,SV1: $i,SV309: $i] :
( ( ( in @ SV309 @ SV309 )
= $false )
| ( ( in @ SV309 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK49_SY57 @ SV1 ) @ ( sK49_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY55 @ SV1 ) @ ( sK17_SY84 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK87_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV133 @ ( sK147_SY246 @ SV133 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2564]) ).
thf(2655,plain,
! [SV135: $i,SV1: $i,SV310: $i] :
( ( ( in @ SV310 @ SV310 )
= $false )
| ( ( in @ SV310 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK148_SY247 @ SV135 @ SV1 ) @ ( sK88_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2583]) ).
thf(2656,plain,
! [SV135: $i,SV1: $i,SV311: $i] :
( ( ( in @ SV311 @ SV311 )
= $false )
| ( ( in @ SV311 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( SV135
= ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2584]) ).
thf(2657,plain,
! [SV135: $i,SV1: $i,SV312: $i] :
( ( ( in @ SV312 @ SV312 )
= $false )
| ( ( in @ SV312 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV135 @ ( sK88_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV135 @ ( sK148_SY247 @ SV135 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2585]) ).
thf(2658,plain,
! [SV137: $i,SV1: $i,SV313: $i] :
( ( ( in @ SV313 @ SV313 )
= $false )
| ( ( in @ SV313 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK149_SY248 @ SV137 @ SV1 ) @ ( sK89_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2586]) ).
thf(2659,plain,
! [SV137: $i,SV1: $i,SV314: $i] :
( ( ( in @ SV314 @ SV314 )
= $false )
| ( ( in @ SV314 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( SV137
= ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2660,plain,
! [SV137: $i,SV1: $i,SV315: $i] :
( ( ( in @ SV315 @ SV315 )
= $false )
| ( ( in @ SV315 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK56_SY57 @ SV1 ) @ ( sK56_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV137 @ ( sK89_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV137 @ ( sK149_SY248 @ SV137 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2661,plain,
! [SV157: $i,SV1: $i,SV322: $i] :
( ( ( ~ ( in @ SV322 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV322 @ SV322 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2589]) ).
thf(2662,plain,
! [SV157: $i,SV1: $i,SV323: $i] :
( ( ( ~ ( in @ SV323 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV323 @ SV323 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2590]) ).
thf(2663,plain,
! [SV157: $i,SV1: $i,SV324: $i] :
( ( ( ~ ( in @ SV324 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV324 @ SV324 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2591]) ).
thf(2664,plain,
! [SV159: $i,SV1: $i,SV325: $i] :
( ( ( ~ ( in @ SV325 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV325 @ SV325 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2592]) ).
thf(2665,plain,
! [SV159: $i,SV1: $i,SV326: $i] :
( ( ( ~ ( in @ SV326 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV326 @ SV326 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2593]) ).
thf(2666,plain,
! [SV159: $i,SV1: $i,SV327: $i] :
( ( ( ~ ( in @ SV327 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV327 @ SV327 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2594]) ).
thf(2667,plain,
! [SV199: $i,SV1: $i,SV346: $i] :
( ( ( ~ ( in @ SV346 @ SV1 )
| ~ ( in @ SV346 @ SV346 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(2668,plain,
! [SV199: $i,SV1: $i,SV347: $i] :
( ( ( ~ ( in @ SV347 @ SV1 )
| ~ ( in @ SV347 @ SV347 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2669,plain,
! [SV199: $i,SV1: $i,SV348: $i] :
( ( ( ~ ( in @ SV348 @ SV1 )
| ~ ( in @ SV348 @ SV348 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2670,plain,
! [SV201: $i,SV1: $i,SV349: $i] :
( ( ( ~ ( in @ SV349 @ SV1 )
| ~ ( in @ SV349 @ SV349 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(2671,plain,
! [SV201: $i,SV1: $i,SV350: $i] :
( ( ( ~ ( in @ SV350 @ SV1 )
| ~ ( in @ SV350 @ SV350 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(2672,plain,
! [SV201: $i,SV1: $i,SV351: $i] :
( ( ( ~ ( in @ SV351 @ SV1 )
| ~ ( in @ SV351 @ SV351 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(2673,plain,
! [SV203: $i,SV1: $i,SV352: $i] :
( ( ( ~ ( in @ SV352 @ SV1 )
| ~ ( in @ SV352 @ SV352 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2674,plain,
! [SV203: $i,SV1: $i,SV353: $i] :
( ( ( ~ ( in @ SV353 @ SV1 )
| ~ ( in @ SV353 @ SV353 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(2675,plain,
! [SV203: $i,SV1: $i,SV354: $i] :
( ( ( ~ ( in @ SV354 @ SV1 )
| ~ ( in @ SV354 @ SV354 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(2676,plain,
! [SV205: $i,SV1: $i,SV355: $i] :
( ( ( ~ ( in @ SV355 @ SV1 )
| ~ ( in @ SV355 @ SV355 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(2677,plain,
! [SV205: $i,SV1: $i,SV356: $i] :
( ( ( ~ ( in @ SV356 @ SV1 )
| ~ ( in @ SV356 @ SV356 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2605]) ).
thf(2678,plain,
! [SV205: $i,SV1: $i,SV357: $i] :
( ( ( ~ ( in @ SV357 @ SV1 )
| ~ ( in @ SV357 @ SV357 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2679,plain,
! [SV165: $i,SV1: $i,SV328: $i] :
( ( ( ~ ( in @ SV328 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV328 @ SV328 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2607]) ).
thf(2680,plain,
! [SV165: $i,SV1: $i,SV329: $i] :
( ( ( ~ ( in @ SV329 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV329 @ SV329 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2608]) ).
thf(2681,plain,
! [SV165: $i,SV1: $i,SV330: $i] :
( ( ( ~ ( in @ SV330 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV330 @ SV330 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2609]) ).
thf(2682,plain,
! [SV167: $i,SV1: $i,SV331: $i] :
( ( ( ~ ( in @ SV331 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV331 @ SV331 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2610]) ).
thf(2683,plain,
! [SV167: $i,SV1: $i,SV332: $i] :
( ( ( ~ ( in @ SV332 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV332 @ SV332 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2611]) ).
thf(2684,plain,
! [SV167: $i,SV1: $i,SV333: $i] :
( ( ( ~ ( in @ SV333 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV333 @ SV333 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2685,plain,
! [SV139: $i,SV1: $i,SV316: $i] :
( ( ( in @ SV316 @ SV316 )
= $false )
| ( ( in @ SV316 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY249 @ SV139 @ SV1 ) @ ( sK90_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2686,plain,
! [SV139: $i,SV1: $i,SV317: $i] :
( ( ( in @ SV317 @ SV317 )
= $false )
| ( ( in @ SV317 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( SV139
= ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2614]) ).
thf(2687,plain,
! [SV139: $i,SV1: $i,SV318: $i] :
( ( ( in @ SV318 @ SV318 )
= $false )
| ( ( in @ SV318 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV139 @ ( sK90_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV139 @ ( sK150_SY249 @ SV139 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2615]) ).
thf(2688,plain,
! [SV141: $i,SV1: $i,SV319: $i] :
( ( ( in @ SV319 @ SV319 )
= $false )
| ( ( in @ SV319 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY250 @ SV141 @ SV1 ) @ ( sK91_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2689,plain,
! [SV141: $i,SV1: $i,SV320: $i] :
( ( ( in @ SV320 @ SV320 )
= $false )
| ( ( in @ SV320 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( SV141
= ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2617]) ).
thf(2690,plain,
! [SV141: $i,SV1: $i,SV321: $i] :
( ( ( in @ SV321 @ SV321 )
= $false )
| ( ( in @ SV321 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK57_SY57 @ SV1 ) @ ( sK57_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV141 @ ( sK91_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV141 @ ( sK151_SY250 @ SV141 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2691,plain,
! [SV169: $i,SV1: $i,SV334: $i] :
( ( ( ~ ( in @ SV334 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV334 @ SV334 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2619]) ).
thf(2692,plain,
! [SV169: $i,SV1: $i,SV335: $i] :
( ( ( ~ ( in @ SV335 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV335 @ SV335 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2620]) ).
thf(2693,plain,
! [SV169: $i,SV1: $i,SV336: $i] :
( ( ( ~ ( in @ SV336 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV336 @ SV336 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2621]) ).
thf(2694,plain,
! [SV171: $i,SV1: $i,SV337: $i] :
( ( ( ~ ( in @ SV337 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV337 @ SV337 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2695,plain,
! [SV171: $i,SV1: $i,SV338: $i] :
( ( ( ~ ( in @ SV338 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV338 @ SV338 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2623]) ).
thf(2696,plain,
! [SV171: $i,SV1: $i,SV339: $i] :
( ( ( ~ ( in @ SV339 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV339 @ SV339 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2624]) ).
thf(2697,plain,
! [SV207: $i,SV1: $i,SV358: $i] :
( ( ( ~ ( in @ SV358 @ SV1 )
| ~ ( in @ SV358 @ SV358 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2698,plain,
! [SV207: $i,SV1: $i,SV359: $i] :
( ( ( ~ ( in @ SV359 @ SV1 )
| ~ ( in @ SV359 @ SV359 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(2699,plain,
! [SV207: $i,SV1: $i,SV360: $i] :
( ( ( ~ ( in @ SV360 @ SV1 )
| ~ ( in @ SV360 @ SV360 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2627]) ).
thf(2700,plain,
! [SV209: $i,SV1: $i,SV361: $i] :
( ( ( ~ ( in @ SV361 @ SV1 )
| ~ ( in @ SV361 @ SV361 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2701,plain,
! [SV209: $i,SV1: $i,SV362: $i] :
( ( ( ~ ( in @ SV362 @ SV1 )
| ~ ( in @ SV362 @ SV362 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2702,plain,
! [SV209: $i,SV1: $i,SV363: $i] :
( ( ( ~ ( in @ SV363 @ SV1 )
| ~ ( in @ SV363 @ SV363 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2703,plain,
! [SV211: $i,SV1: $i,SV364: $i] :
( ( ( ~ ( in @ SV364 @ SV1 )
| ~ ( in @ SV364 @ SV364 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2704,plain,
! [SV211: $i,SV1: $i,SV365: $i] :
( ( ( ~ ( in @ SV365 @ SV1 )
| ~ ( in @ SV365 @ SV365 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(2705,plain,
! [SV211: $i,SV1: $i,SV366: $i] :
( ( ( ~ ( in @ SV366 @ SV1 )
| ~ ( in @ SV366 @ SV366 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(2706,plain,
! [SV213: $i,SV1: $i,SV367: $i] :
( ( ( ~ ( in @ SV367 @ SV1 )
| ~ ( in @ SV367 @ SV367 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2707,plain,
! [SV213: $i,SV1: $i,SV368: $i] :
( ( ( ~ ( in @ SV368 @ SV1 )
| ~ ( in @ SV368 @ SV368 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(2708,plain,
! [SV213: $i,SV1: $i,SV369: $i] :
( ( ( ~ ( in @ SV369 @ SV1 )
| ~ ( in @ SV369 @ SV369 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(2709,plain,
! [SV177: $i,SV1: $i,SV340: $i] :
( ( ( ~ ( in @ SV340 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV340 @ SV340 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2637]) ).
thf(2710,plain,
! [SV177: $i,SV1: $i,SV341: $i] :
( ( ( ~ ( in @ SV341 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV341 @ SV341 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2638]) ).
thf(2711,plain,
! [SV177: $i,SV1: $i,SV342: $i] :
( ( ( ~ ( in @ SV342 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV342 @ SV342 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2639]) ).
thf(2712,plain,
! [SV179: $i,SV1: $i,SV343: $i] :
( ( ( ~ ( in @ SV343 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV343 @ SV343 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2640]) ).
thf(2713,plain,
! [SV179: $i,SV1: $i,SV344: $i] :
( ( ( ~ ( in @ SV344 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV344 @ SV344 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2641]) ).
thf(2714,plain,
! [SV179: $i,SV1: $i,SV345: $i] :
( ( ( ~ ( in @ SV345 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV345 @ SV345 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2642]) ).
thf(2715,plain,
! [SV157: $i,SV1: $i,SV322: $i] :
( ( ( in @ SV322 @ SV1 )
= $false )
| ( ( ~ ( in @ SV322 @ SV322 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2661]) ).
thf(2716,plain,
! [SV157: $i,SV1: $i,SV323: $i] :
( ( ( in @ SV323 @ SV1 )
= $false )
| ( ( ~ ( in @ SV323 @ SV323 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2717,plain,
! [SV157: $i,SV1: $i,SV324: $i] :
( ( ( in @ SV324 @ SV1 )
= $false )
| ( ( ~ ( in @ SV324 @ SV324 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2718,plain,
! [SV159: $i,SV1: $i,SV325: $i] :
( ( ( in @ SV325 @ SV1 )
= $false )
| ( ( ~ ( in @ SV325 @ SV325 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2719,plain,
! [SV159: $i,SV1: $i,SV326: $i] :
( ( ( in @ SV326 @ SV1 )
= $false )
| ( ( ~ ( in @ SV326 @ SV326 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2720,plain,
! [SV159: $i,SV1: $i,SV327: $i] :
( ( ( in @ SV327 @ SV1 )
= $false )
| ( ( ~ ( in @ SV327 @ SV327 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2666]) ).
thf(2721,plain,
! [SV199: $i,SV1: $i,SV346: $i] :
( ( ( ~ ( in @ SV346 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV346 @ SV346 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2667]) ).
thf(2722,plain,
! [SV199: $i,SV1: $i,SV347: $i] :
( ( ( ~ ( in @ SV347 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV347 @ SV347 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2668]) ).
thf(2723,plain,
! [SV199: $i,SV1: $i,SV348: $i] :
( ( ( ~ ( in @ SV348 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV348 @ SV348 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2724,plain,
! [SV201: $i,SV1: $i,SV349: $i] :
( ( ( ~ ( in @ SV349 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV349 @ SV349 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2725,plain,
! [SV201: $i,SV1: $i,SV350: $i] :
( ( ( ~ ( in @ SV350 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV350 @ SV350 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2671]) ).
thf(2726,plain,
! [SV201: $i,SV1: $i,SV351: $i] :
( ( ( ~ ( in @ SV351 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV351 @ SV351 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2727,plain,
! [SV203: $i,SV1: $i,SV352: $i] :
( ( ( ~ ( in @ SV352 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV352 @ SV352 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(2728,plain,
! [SV203: $i,SV1: $i,SV353: $i] :
( ( ( ~ ( in @ SV353 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV353 @ SV353 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(2729,plain,
! [SV203: $i,SV1: $i,SV354: $i] :
( ( ( ~ ( in @ SV354 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV354 @ SV354 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2675]) ).
thf(2730,plain,
! [SV205: $i,SV1: $i,SV355: $i] :
( ( ( ~ ( in @ SV355 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV355 @ SV355 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2676]) ).
thf(2731,plain,
! [SV205: $i,SV1: $i,SV356: $i] :
( ( ( ~ ( in @ SV356 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV356 @ SV356 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2732,plain,
! [SV205: $i,SV1: $i,SV357: $i] :
( ( ( ~ ( in @ SV357 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV357 @ SV357 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2678]) ).
thf(2733,plain,
! [SV165: $i,SV1: $i,SV328: $i] :
( ( ( in @ SV328 @ SV1 )
= $false )
| ( ( ~ ( in @ SV328 @ SV328 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2679]) ).
thf(2734,plain,
! [SV165: $i,SV1: $i,SV329: $i] :
( ( ( in @ SV329 @ SV1 )
= $false )
| ( ( ~ ( in @ SV329 @ SV329 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2680]) ).
thf(2735,plain,
! [SV165: $i,SV1: $i,SV330: $i] :
( ( ( in @ SV330 @ SV1 )
= $false )
| ( ( ~ ( in @ SV330 @ SV330 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(2736,plain,
! [SV167: $i,SV1: $i,SV331: $i] :
( ( ( in @ SV331 @ SV1 )
= $false )
| ( ( ~ ( in @ SV331 @ SV331 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2682]) ).
thf(2737,plain,
! [SV167: $i,SV1: $i,SV332: $i] :
( ( ( in @ SV332 @ SV1 )
= $false )
| ( ( ~ ( in @ SV332 @ SV332 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2738,plain,
! [SV167: $i,SV1: $i,SV333: $i] :
( ( ( in @ SV333 @ SV1 )
= $false )
| ( ( ~ ( in @ SV333 @ SV333 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(2739,plain,
! [SV169: $i,SV1: $i,SV334: $i] :
( ( ( in @ SV334 @ SV1 )
= $false )
| ( ( ~ ( in @ SV334 @ SV334 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2691]) ).
thf(2740,plain,
! [SV169: $i,SV1: $i,SV335: $i] :
( ( ( in @ SV335 @ SV1 )
= $false )
| ( ( ~ ( in @ SV335 @ SV335 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2692]) ).
thf(2741,plain,
! [SV169: $i,SV1: $i,SV336: $i] :
( ( ( in @ SV336 @ SV1 )
= $false )
| ( ( ~ ( in @ SV336 @ SV336 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2693]) ).
thf(2742,plain,
! [SV171: $i,SV1: $i,SV337: $i] :
( ( ( in @ SV337 @ SV1 )
= $false )
| ( ( ~ ( in @ SV337 @ SV337 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2694]) ).
thf(2743,plain,
! [SV171: $i,SV1: $i,SV338: $i] :
( ( ( in @ SV338 @ SV1 )
= $false )
| ( ( ~ ( in @ SV338 @ SV338 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(2744,plain,
! [SV171: $i,SV1: $i,SV339: $i] :
( ( ( in @ SV339 @ SV1 )
= $false )
| ( ( ~ ( in @ SV339 @ SV339 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(2745,plain,
! [SV207: $i,SV1: $i,SV358: $i] :
( ( ( ~ ( in @ SV358 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV358 @ SV358 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(2746,plain,
! [SV207: $i,SV1: $i,SV359: $i] :
( ( ( ~ ( in @ SV359 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV359 @ SV359 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(2747,plain,
! [SV207: $i,SV1: $i,SV360: $i] :
( ( ( ~ ( in @ SV360 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV360 @ SV360 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(2748,plain,
! [SV209: $i,SV1: $i,SV361: $i] :
( ( ( ~ ( in @ SV361 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV361 @ SV361 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(2749,plain,
! [SV209: $i,SV1: $i,SV362: $i] :
( ( ( ~ ( in @ SV362 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV362 @ SV362 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2701]) ).
thf(2750,plain,
! [SV209: $i,SV1: $i,SV363: $i] :
( ( ( ~ ( in @ SV363 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV363 @ SV363 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(2751,plain,
! [SV211: $i,SV1: $i,SV364: $i] :
( ( ( ~ ( in @ SV364 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV364 @ SV364 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(2752,plain,
! [SV211: $i,SV1: $i,SV365: $i] :
( ( ( ~ ( in @ SV365 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV365 @ SV365 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(2753,plain,
! [SV211: $i,SV1: $i,SV366: $i] :
( ( ( ~ ( in @ SV366 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV366 @ SV366 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2705]) ).
thf(2754,plain,
! [SV213: $i,SV1: $i,SV367: $i] :
( ( ( ~ ( in @ SV367 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV367 @ SV367 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2706]) ).
thf(2755,plain,
! [SV213: $i,SV1: $i,SV368: $i] :
( ( ( ~ ( in @ SV368 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV368 @ SV368 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2707]) ).
thf(2756,plain,
! [SV213: $i,SV1: $i,SV369: $i] :
( ( ( ~ ( in @ SV369 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV369 @ SV369 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2708]) ).
thf(2757,plain,
! [SV177: $i,SV1: $i,SV340: $i] :
( ( ( in @ SV340 @ SV1 )
= $false )
| ( ( ~ ( in @ SV340 @ SV340 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(2758,plain,
! [SV177: $i,SV1: $i,SV341: $i] :
( ( ( in @ SV341 @ SV1 )
= $false )
| ( ( ~ ( in @ SV341 @ SV341 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(2759,plain,
! [SV177: $i,SV1: $i,SV342: $i] :
( ( ( in @ SV342 @ SV1 )
= $false )
| ( ( ~ ( in @ SV342 @ SV342 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2711]) ).
thf(2760,plain,
! [SV179: $i,SV1: $i,SV343: $i] :
( ( ( in @ SV343 @ SV1 )
= $false )
| ( ( ~ ( in @ SV343 @ SV343 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(2761,plain,
! [SV179: $i,SV1: $i,SV344: $i] :
( ( ( in @ SV344 @ SV1 )
= $false )
| ( ( ~ ( in @ SV344 @ SV344 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2713]) ).
thf(2762,plain,
! [SV179: $i,SV1: $i,SV345: $i] :
( ( ( in @ SV345 @ SV1 )
= $false )
| ( ( ~ ( in @ SV345 @ SV345 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(2763,plain,
! [SV157: $i,SV1: $i,SV322: $i] :
( ( ( in @ SV322 @ SV322 )
= $false )
| ( ( in @ SV322 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY251 @ SV157 @ SV1 ) @ ( sK94_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(2764,plain,
! [SV157: $i,SV1: $i,SV323: $i] :
( ( ( in @ SV323 @ SV323 )
= $false )
| ( ( in @ SV323 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( SV157
= ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2716]) ).
thf(2765,plain,
! [SV157: $i,SV1: $i,SV324: $i] :
( ( ( in @ SV324 @ SV324 )
= $false )
| ( ( in @ SV324 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV157 @ ( sK94_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV157 @ ( sK152_SY251 @ SV157 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2766,plain,
! [SV159: $i,SV1: $i,SV325: $i] :
( ( ( in @ SV325 @ SV325 )
= $false )
| ( ( in @ SV325 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY252 @ SV159 @ SV1 ) @ ( sK95_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(2767,plain,
! [SV159: $i,SV1: $i,SV326: $i] :
( ( ( in @ SV326 @ SV326 )
= $false )
| ( ( in @ SV326 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( SV159
= ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(2768,plain,
! [SV159: $i,SV1: $i,SV327: $i] :
( ( ( in @ SV327 @ SV327 )
= $false )
| ( ( in @ SV327 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK68_SY57 @ SV1 ) @ ( sK68_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV159 @ ( sK95_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV159 @ ( sK153_SY252 @ SV159 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(2769,plain,
! [SV199: $i,SV1: $i,SV346: $i] :
( ( ( in @ SV346 @ SV1 )
= $false )
| ( ( ~ ( in @ SV346 @ SV346 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2721]) ).
thf(2770,plain,
! [SV199: $i,SV1: $i,SV347: $i] :
( ( ( in @ SV347 @ SV1 )
= $false )
| ( ( ~ ( in @ SV347 @ SV347 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2722]) ).
thf(2771,plain,
! [SV199: $i,SV1: $i,SV348: $i] :
( ( ( in @ SV348 @ SV1 )
= $false )
| ( ( ~ ( in @ SV348 @ SV348 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(2772,plain,
! [SV201: $i,SV1: $i,SV349: $i] :
( ( ( in @ SV349 @ SV1 )
= $false )
| ( ( ~ ( in @ SV349 @ SV349 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(2773,plain,
! [SV201: $i,SV1: $i,SV350: $i] :
( ( ( in @ SV350 @ SV1 )
= $false )
| ( ( ~ ( in @ SV350 @ SV350 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2774,plain,
! [SV201: $i,SV1: $i,SV351: $i] :
( ( ( in @ SV351 @ SV1 )
= $false )
| ( ( ~ ( in @ SV351 @ SV351 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2775,plain,
! [SV203: $i,SV1: $i,SV352: $i] :
( ( ( in @ SV352 @ SV1 )
= $false )
| ( ( ~ ( in @ SV352 @ SV352 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(2776,plain,
! [SV203: $i,SV1: $i,SV353: $i] :
( ( ( in @ SV353 @ SV1 )
= $false )
| ( ( ~ ( in @ SV353 @ SV353 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2777,plain,
! [SV203: $i,SV1: $i,SV354: $i] :
( ( ( in @ SV354 @ SV1 )
= $false )
| ( ( ~ ( in @ SV354 @ SV354 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2778,plain,
! [SV205: $i,SV1: $i,SV355: $i] :
( ( ( in @ SV355 @ SV1 )
= $false )
| ( ( ~ ( in @ SV355 @ SV355 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2730]) ).
thf(2779,plain,
! [SV205: $i,SV1: $i,SV356: $i] :
( ( ( in @ SV356 @ SV1 )
= $false )
| ( ( ~ ( in @ SV356 @ SV356 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(2780,plain,
! [SV205: $i,SV1: $i,SV357: $i] :
( ( ( in @ SV357 @ SV1 )
= $false )
| ( ( ~ ( in @ SV357 @ SV357 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(2781,plain,
! [SV165: $i,SV1: $i,SV328: $i] :
( ( ( in @ SV328 @ SV328 )
= $false )
| ( ( in @ SV328 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY253 @ SV165 @ SV1 ) @ ( sK96_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2782,plain,
! [SV165: $i,SV1: $i,SV329: $i] :
( ( ( in @ SV329 @ SV329 )
= $false )
| ( ( in @ SV329 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( SV165
= ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(2783,plain,
! [SV165: $i,SV1: $i,SV330: $i] :
( ( ( in @ SV330 @ SV330 )
= $false )
| ( ( in @ SV330 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK96_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV165 @ ( sK154_SY253 @ SV165 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(2784,plain,
! [SV167: $i,SV1: $i,SV331: $i] :
( ( ( in @ SV331 @ SV331 )
= $false )
| ( ( in @ SV331 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY254 @ SV167 @ SV1 ) @ ( sK97_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(2785,plain,
! [SV167: $i,SV1: $i,SV332: $i] :
( ( ( in @ SV332 @ SV332 )
= $false )
| ( ( in @ SV332 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( SV167
= ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2737]) ).
thf(2786,plain,
! [SV167: $i,SV1: $i,SV333: $i] :
( ( ( in @ SV333 @ SV333 )
= $false )
| ( ( in @ SV333 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK69_SY57 @ SV1 ) @ ( sK69_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK38_SY89 @ SV1 ) @ ( sK25_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK97_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV167 @ ( sK155_SY254 @ SV167 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2738]) ).
thf(2787,plain,
! [SV169: $i,SV1: $i,SV334: $i] :
( ( ( in @ SV334 @ SV334 )
= $false )
| ( ( in @ SV334 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK156_SY255 @ SV169 @ SV1 ) @ ( sK98_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2788,plain,
! [SV169: $i,SV1: $i,SV335: $i] :
( ( ( in @ SV335 @ SV335 )
= $false )
| ( ( in @ SV335 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( SV169
= ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2740]) ).
thf(2789,plain,
! [SV169: $i,SV1: $i,SV336: $i] :
( ( ( in @ SV336 @ SV336 )
= $false )
| ( ( in @ SV336 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV169 @ ( sK98_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV169 @ ( sK156_SY255 @ SV169 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2741]) ).
thf(2790,plain,
! [SV171: $i,SV1: $i,SV337: $i] :
( ( ( in @ SV337 @ SV337 )
= $false )
| ( ( in @ SV337 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK157_SY256 @ SV171 @ SV1 ) @ ( sK99_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2742]) ).
thf(2791,plain,
! [SV171: $i,SV1: $i,SV338: $i] :
( ( ( in @ SV338 @ SV338 )
= $false )
| ( ( in @ SV338 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( SV171
= ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2743]) ).
thf(2792,plain,
! [SV171: $i,SV1: $i,SV339: $i] :
( ( ( in @ SV339 @ SV339 )
= $false )
| ( ( in @ SV339 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK70_SY57 @ SV1 ) @ ( sK70_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV171 @ ( sK99_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV171 @ ( sK157_SY256 @ SV171 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2744]) ).
thf(2793,plain,
! [SV207: $i,SV1: $i,SV358: $i] :
( ( ( in @ SV358 @ SV1 )
= $false )
| ( ( ~ ( in @ SV358 @ SV358 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2745]) ).
thf(2794,plain,
! [SV207: $i,SV1: $i,SV359: $i] :
( ( ( in @ SV359 @ SV1 )
= $false )
| ( ( ~ ( in @ SV359 @ SV359 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2746]) ).
thf(2795,plain,
! [SV207: $i,SV1: $i,SV360: $i] :
( ( ( in @ SV360 @ SV1 )
= $false )
| ( ( ~ ( in @ SV360 @ SV360 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2747]) ).
thf(2796,plain,
! [SV209: $i,SV1: $i,SV361: $i] :
( ( ( in @ SV361 @ SV1 )
= $false )
| ( ( ~ ( in @ SV361 @ SV361 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2748]) ).
thf(2797,plain,
! [SV209: $i,SV1: $i,SV362: $i] :
( ( ( in @ SV362 @ SV1 )
= $false )
| ( ( ~ ( in @ SV362 @ SV362 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2749]) ).
thf(2798,plain,
! [SV209: $i,SV1: $i,SV363: $i] :
( ( ( in @ SV363 @ SV1 )
= $false )
| ( ( ~ ( in @ SV363 @ SV363 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2750]) ).
thf(2799,plain,
! [SV211: $i,SV1: $i,SV364: $i] :
( ( ( in @ SV364 @ SV1 )
= $false )
| ( ( ~ ( in @ SV364 @ SV364 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2751]) ).
thf(2800,plain,
! [SV211: $i,SV1: $i,SV365: $i] :
( ( ( in @ SV365 @ SV1 )
= $false )
| ( ( ~ ( in @ SV365 @ SV365 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2752]) ).
thf(2801,plain,
! [SV211: $i,SV1: $i,SV366: $i] :
( ( ( in @ SV366 @ SV1 )
= $false )
| ( ( ~ ( in @ SV366 @ SV366 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2753]) ).
thf(2802,plain,
! [SV213: $i,SV1: $i,SV367: $i] :
( ( ( in @ SV367 @ SV1 )
= $false )
| ( ( ~ ( in @ SV367 @ SV367 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2754]) ).
thf(2803,plain,
! [SV213: $i,SV1: $i,SV368: $i] :
( ( ( in @ SV368 @ SV1 )
= $false )
| ( ( ~ ( in @ SV368 @ SV368 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2755]) ).
thf(2804,plain,
! [SV213: $i,SV1: $i,SV369: $i] :
( ( ( in @ SV369 @ SV1 )
= $false )
| ( ( ~ ( in @ SV369 @ SV369 ) )
= $true )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2756]) ).
thf(2805,plain,
! [SV177: $i,SV1: $i,SV340: $i] :
( ( ( in @ SV340 @ SV340 )
= $false )
| ( ( in @ SV340 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK158_SY257 @ SV177 @ SV1 ) @ ( sK100_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2757]) ).
thf(2806,plain,
! [SV177: $i,SV1: $i,SV341: $i] :
( ( ( in @ SV341 @ SV341 )
= $false )
| ( ( in @ SV341 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( SV177
= ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2758]) ).
thf(2807,plain,
! [SV177: $i,SV1: $i,SV342: $i] :
( ( ( in @ SV342 @ SV342 )
= $false )
| ( ( in @ SV342 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK100_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV177 @ ( sK158_SY257 @ SV177 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2759]) ).
thf(2808,plain,
! [SV179: $i,SV1: $i,SV343: $i] :
( ( ( in @ SV343 @ SV343 )
= $false )
| ( ( in @ SV343 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK159_SY258 @ SV179 @ SV1 ) @ ( sK101_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2760]) ).
thf(2809,plain,
! [SV179: $i,SV1: $i,SV344: $i] :
( ( ( in @ SV344 @ SV344 )
= $false )
| ( ( in @ SV344 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( SV179
= ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2761]) ).
thf(2810,plain,
! [SV179: $i,SV1: $i,SV345: $i] :
( ( ( in @ SV345 @ SV345 )
= $false )
| ( ( in @ SV345 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK71_SY57 @ SV1 ) @ ( sK71_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK39_SY90 @ SV1 ) @ ( sK26_SY55 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK101_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV179 @ ( sK159_SY258 @ SV179 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2762]) ).
thf(2811,plain,
! [SV199: $i,SV1: $i,SV346: $i] :
( ( ( in @ SV346 @ SV346 )
= $false )
| ( ( in @ SV346 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY259 @ SV199 @ SV1 ) @ ( sK102_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2769]) ).
thf(2812,plain,
! [SV199: $i,SV1: $i,SV347: $i] :
( ( ( in @ SV347 @ SV347 )
= $false )
| ( ( in @ SV347 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( SV199
= ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(2813,plain,
! [SV199: $i,SV1: $i,SV348: $i] :
( ( ( in @ SV348 @ SV348 )
= $false )
| ( ( in @ SV348 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK102_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV199 @ ( sK160_SY259 @ SV199 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2771]) ).
thf(2814,plain,
! [SV201: $i,SV1: $i,SV349: $i] :
( ( ( in @ SV349 @ SV349 )
= $false )
| ( ( in @ SV349 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY260 @ SV201 @ SV1 ) @ ( sK103_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2772]) ).
thf(2815,plain,
! [SV201: $i,SV1: $i,SV350: $i] :
( ( ( in @ SV350 @ SV350 )
= $false )
| ( ( in @ SV350 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( SV201
= ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2816,plain,
! [SV201: $i,SV1: $i,SV351: $i] :
( ( ( in @ SV351 @ SV351 )
= $false )
| ( ( in @ SV351 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK80_SY57 @ SV1 ) @ ( sK80_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( ( sK25_SY55 @ SV1 )
= ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK103_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV201 @ ( sK161_SY260 @ SV201 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2774]) ).
thf(2817,plain,
! [SV203: $i,SV1: $i,SV352: $i] :
( ( ( in @ SV352 @ SV352 )
= $false )
| ( ( in @ SV352 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY261 @ SV203 @ SV1 ) @ ( sK104_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2775]) ).
thf(2818,plain,
! [SV203: $i,SV1: $i,SV353: $i] :
( ( ( in @ SV353 @ SV353 )
= $false )
| ( ( in @ SV353 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( SV203
= ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2776]) ).
thf(2819,plain,
! [SV203: $i,SV1: $i,SV354: $i] :
( ( ( in @ SV354 @ SV354 )
= $false )
| ( ( in @ SV354 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK104_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV203 @ ( sK162_SY261 @ SV203 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2777]) ).
thf(2820,plain,
! [SV205: $i,SV1: $i,SV355: $i] :
( ( ( in @ SV355 @ SV355 )
= $false )
| ( ( in @ SV355 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY262 @ SV205 @ SV1 ) @ ( sK105_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2778]) ).
thf(2821,plain,
! [SV205: $i,SV1: $i,SV356: $i] :
( ( ( in @ SV356 @ SV356 )
= $false )
| ( ( in @ SV356 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( SV205
= ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2779]) ).
thf(2822,plain,
! [SV205: $i,SV1: $i,SV357: $i] :
( ( ( in @ SV357 @ SV357 )
= $false )
| ( ( in @ SV357 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK81_SY57 @ SV1 ) @ ( sK81_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK3_SY52 @ SV1 ) @ ( sK4_SY77 @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY55 @ SV1 ) @ ( sK38_SY89 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK105_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV205 @ ( sK163_SY262 @ SV205 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2780]) ).
thf(2823,plain,
! [SV207: $i,SV1: $i,SV358: $i] :
( ( ( in @ SV358 @ SV358 )
= $false )
| ( ( in @ SV358 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY263 @ SV207 @ SV1 ) @ ( sK106_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2793]) ).
thf(2824,plain,
! [SV207: $i,SV1: $i,SV359: $i] :
( ( ( in @ SV359 @ SV359 )
= $false )
| ( ( in @ SV359 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( SV207
= ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(2825,plain,
! [SV207: $i,SV1: $i,SV360: $i] :
( ( ( in @ SV360 @ SV360 )
= $false )
| ( ( in @ SV360 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK106_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV207 @ ( sK164_SY263 @ SV207 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2795]) ).
thf(2826,plain,
! [SV209: $i,SV1: $i,SV361: $i] :
( ( ( in @ SV361 @ SV361 )
= $false )
| ( ( in @ SV361 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY264 @ SV209 @ SV1 ) @ ( sK107_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(2827,plain,
! [SV209: $i,SV1: $i,SV362: $i] :
( ( ( in @ SV362 @ SV362 )
= $false )
| ( ( in @ SV362 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( SV209
= ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2797]) ).
thf(2828,plain,
! [SV209: $i,SV1: $i,SV363: $i] :
( ( ( in @ SV363 @ SV363 )
= $false )
| ( ( in @ SV363 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK82_SY57 @ SV1 ) @ ( sK82_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( ( sK26_SY55 @ SV1 )
= ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK107_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV209 @ ( sK165_SY264 @ SV209 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2798]) ).
thf(2829,plain,
! [SV211: $i,SV1: $i,SV364: $i] :
( ( ( in @ SV364 @ SV364 )
= $false )
| ( ( in @ SV364 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY265 @ SV211 @ SV1 ) @ ( sK108_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2799]) ).
thf(2830,plain,
! [SV211: $i,SV1: $i,SV365: $i] :
( ( ( in @ SV365 @ SV365 )
= $false )
| ( ( in @ SV365 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( SV211
= ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2800]) ).
thf(2831,plain,
! [SV211: $i,SV1: $i,SV366: $i] :
( ( ( in @ SV366 @ SV366 )
= $false )
| ( ( in @ SV366 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK108_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV211 @ ( sK166_SY265 @ SV211 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(2832,plain,
! [SV213: $i,SV1: $i,SV367: $i] :
( ( ( in @ SV367 @ SV367 )
= $false )
| ( ( in @ SV367 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY266 @ SV213 @ SV1 ) @ ( sK109_SY58 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2802]) ).
thf(2833,plain,
! [SV213: $i,SV1: $i,SV368: $i] :
( ( ( in @ SV368 @ SV368 )
= $false )
| ( ( in @ SV368 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( SV213
= ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(2834,plain,
! [SV213: $i,SV1: $i,SV369: $i] :
( ( ( in @ SV369 @ SV369 )
= $false )
| ( ( in @ SV369 @ SV1 )
= $false )
| ( ( transitiveset @ SV1 )
= $false )
| ( ( in @ ( sK83_SY57 @ SV1 ) @ ( sK83_SY57 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY77 @ SV1 ) @ ( sK6_SY79 @ SV1 ) )
= $true )
| ( ( in @ ( sK26_SY55 @ SV1 ) @ ( sK39_SY90 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK109_SY58 @ SV1 ) )
= $false )
| ( ( in @ SV213 @ ( sK167_SY266 @ SV213 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(2835,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,2834,2833,2832,2831,2830,2829,2828,2827,2826,2825,2824,2823,2822,2821,2820,2819,2818,2817,2816,2815,2814,2813,2812,2811,2810,2809,2808,2807,2806,2805,2792,2791,2790,2789,2788,2787,2786,2785,2784,2783,2782,2781,2768,2767,2766,2765,2764,2763,2690,2689,2688,2687,2686,2685,2660,2659,2658,2657,2656,2655,2654,2653,2652,2651,2650,2649,2648,2647,2646,2645,2644,2643,2582,2581,2580,2579,2578,2577,2576,2575,2574,2573,2572,2571,2570,2569,2568,2567,2566,2565,2552,2551,2550,2549,2548,2547,2494,2493,2492,2491,2490,2489,2476,2475,2474,2473,2472,2471,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2350,2349,2348,2347,2346,2345,2292,2291,2290,2289,2288,2287,2286,2285,2284,2283,2282,2281,2268,2267,2266,2265,2264,2263,2154,2153,2152,2151,2150,2149,2148,2147,2146,2145,2144,2143,2113,2111,2109,2107,2099,2097,2095,2093,2038,2037,2036,2035,2034,2033,2032,2031,2030,2029,2028,2027,2014,2013,2012,2011,2010,2009,1989,1987,1984,1981,1978,1975,1973,1971,1967,1965,1962,1959,1956,1953,1951,1949,1858,1855,1840,1837,1832,1829,1814,1811,1744,1743,1742,1741,1740,1739,1701,1699,1673,1671,1607,1605,1603,1601,1570,1567,1540,1537,1533,1531,1529,1527,1481,1479,1476,1473,1470,1467,1465,1463,1399,1397,1394,1391,1388,1385,1383,1381,1346,1343,1328,1325,1268,1265,1250,1247,1241,1239,1237,1235,1191,1189,1127,1125,1123,1121,1118,1115,1112,1109,1107,1105,1064,1061,1006,1003,1000,997,982,979,973,971,969,967,853,851,849,847,844,841,838,835,833,831,730,727,724,721,706,703,593,591,498,495,250,120,109,86,64,26]) ).
thf(2836,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU822^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n007.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 15:35:00 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.37/12.75
% 74.37/12.75 No.of.Axioms: 0
% 74.37/12.75
% 74.37/12.75 Length.of.Defs: 1087
% 74.37/12.75
% 74.37/12.75 Contains.Choice.Funs: false
% 74.37/12.75 .......................................................
% 74.37/12.75
% 74.37/12.75 ********************************
% 74.37/12.75 * All subproblems solved! *
% 74.37/12.75 ********************************
% 74.37/12.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2835,loop_count:0,foatp_calls:1,translation:fof_full)
% 74.37/12.75
% 74.37/12.75 %**** Beginning of derivation protocol ****
% 74.37/12.75 % SZS output start CNFRefutation
% See solution above
% 74.37/12.79
% 74.37/12.79 %**** End of derivation protocol ****
% 74.37/12.79 %**** no. of clauses in derivation: 2836 ****
% 74.37/12.79 %**** clause counter: 2835 ****
% 74.37/12.79
% 74.37/12.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2835,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------