%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : RNG111+4 : TPTP v9.3.1. Released v4.0.0.
% 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 : n015.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 10:37:49 AM UTC 2026
% Result : Theorem 2.29s 0.61s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 11
% Syntax : Number of formulae : 412 ( 92 unt; 0 typ; 0 def)
% Number of atoms : 5969 (2545 equ; 0 cnn)
% Maximal formula atoms : 33 ( 14 avg)
% Number of connectives : 13760 (4337 ~;2277 |; 169 &;6914 @)
% ( 0 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 11 con; 0-3 aty)
% Number of variables : 1492 ( 0 ^;1403 !; 89 ?;1492 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aDivisorOf0,type,
aDivisorOf0: $i > $i > $o ).
thf(tp_aElement0,type,
aElement0: $i > $o ).
thf(tp_aElementOf0,type,
aElementOf0: $i > $i > $o ).
thf(tp_aGcdOfAnd0,type,
aGcdOfAnd0: $i > $i > $i > $o ).
thf(tp_aIdeal0,type,
aIdeal0: $i > $o ).
thf(tp_aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
thf(tp_aSet0,type,
aSet0: $i > $o ).
thf(tp_doDivides0,type,
doDivides0: $i > $i > $o ).
thf(tp_iLess0,type,
iLess0: $i > $i > $o ).
thf(tp_misRelativelyPrime0,type,
misRelativelyPrime0: $i > $i > $o ).
thf(tp_sK10_SY81,type,
sK10_SY81: $i > $i ).
thf(tp_sK11_SX1,type,
sK11_SX1: $i > $i > $i > $i ).
thf(tp_sK12_SY85,type,
sK12_SY85: $i > $i ).
thf(tp_sK13_SY86,type,
sK13_SY86: $i > $i ).
thf(tp_sK14_SY71,type,
sK14_SY71: $i > $i > $i > $i ).
thf(tp_sK15_SY88,type,
sK15_SY88: $i > $i > $i > $i ).
thf(tp_sK16_SY93,type,
sK16_SY93: $i > $i > $i > $i ).
thf(tp_sK17_SY97,type,
sK17_SY97: $i > $i > $i > $i ).
thf(tp_sK18_SY98,type,
sK18_SY98: $i > $i > $i > $i ).
thf(tp_sK1_W0,type,
sK1_W0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY68,type,
sK3_SY68: $i ).
thf(tp_sK4_SX1,type,
sK4_SX1: $i > $i ).
thf(tp_sK5_SY65,type,
sK5_SY65: $i > $i > $i ).
thf(tp_sK6_SY71,type,
sK6_SY71: $i > $i ).
thf(tp_sK7_SY66,type,
sK7_SY66: $i > $i > $i ).
thf(tp_sK8_SY66,type,
sK8_SY66: $i > $i > $i ).
thf(tp_sK9_SY75,type,
sK9_SY75: $i > $i ).
thf(tp_sbrdtbr0,type,
sbrdtbr0: $i > $i ).
thf(tp_sdtasasdt0,type,
sdtasasdt0: $i > $i > $i ).
thf(tp_sdtasdt0,type,
sdtasdt0: $i > $i > $i ).
thf(tp_sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(tp_sdtpldt0,type,
sdtpldt0: $i > $i > $i ).
thf(tp_sdtpldt1,type,
sdtpldt1: $i > $i > $i ).
thf(tp_slsdtgt0,type,
slsdtgt0: $i > $i ).
thf(tp_smndt0,type,
smndt0: $i > $i ).
thf(tp_sz00,type,
sz00: $i ).
thf(tp_sz10,type,
sz10: $i ).
thf(tp_xI,type,
xI: $i ).
thf(tp_xa,type,
xa: $i ).
thf(tp_xb,type,
xb: $i ).
thf(tp_xc,type,
xc: $i ).
thf(3,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatLess) ).
thf(9,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( aElementOf0 @ W2 @ W1 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSetEq) ).
thf(12,axiom,
sz10 != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnNeZr) ).
thf(21,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
thf(22,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
thf(23,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
thf(25,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
thf(28,axiom,
aElement0 @ sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
thf(34,axiom,
( ( xa != sz00 )
| ( xb != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
thf(35,axiom,
( ( aElement0 @ xa )
& ( aElement0 @ xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
thf(36,conjecture,
! [W0: $i] :
( ( ? [W1: $i,W2: $i] :
( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W1 @ W2 )
= W0 ) )
& ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ( ! [W1: $i] :
( ( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
=> ? [W2: $i] :
( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 )
& ! [W3: $i] :
( ( ( ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) )
| ( aElementOf0 @ W3 @ xI ) )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) ) ) ) )
=> ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(37,negated_conjecture,
( ( ! [W0: $i] :
( ( ? [W1: $i,W2: $i] :
( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W1 @ W2 )
= W0 ) )
& ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ( ! [W1: $i] :
( ( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
=> ? [W2: $i] :
( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 )
& ! [W3: $i] :
( ( ( ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) )
| ( aElementOf0 @ W3 @ xI ) )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) ) ) ) )
=> ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[36]) ).
thf(38,plain,
( ( ! [W0: $i] :
( ( ? [W1: $i,W2: $i] :
( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W1 @ W2 )
= W0 ) )
& ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ( ! [W1: $i] :
( ( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) )
=> ? [W2: $i] :
( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 )
& ! [W3: $i] :
( ( ( ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) )
| ( aElementOf0 @ W3 @ xI ) )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) ) ) ) )
=> ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[37]) ).
thf(39,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(40,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( aElementOf0 @ W2 @ W1 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(41,plain,
( ( sz10 != sz00 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(42,plain,
( ( ! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(43,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(44,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(45,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(46,plain,
( ( aElement0 @ sz00 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(47,plain,
( ( ( xa != sz00 )
| ( xb != sz00 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(48,plain,
( ( ( aElement0 @ xa )
& ( aElement0 @ xb ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(49,plain,
( ( ( ? [SY32: $i,SY33: $i] :
( ( aElementOf0 @ SY32 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ SY33 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ SY32 @ SY33 )
= sK1_W0 ) )
& ( aElementOf0 @ sK1_W0 @ xI )
& ( sK1_W0 != sz00 ) )
=> ( ! [SY34: $i] :
( ( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= SY34 ) )
| ( aElementOf0 @ SY34 @ xI ) )
& ( SY34 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ SY34 ) @ ( sbrdtbr0 @ sK1_W0 ) )
=> ? [W2: $i] :
( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 )
& ! [W3: $i] :
( ( ( ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) )
| ( aElementOf0 @ W3 @ xI ) )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) ) ) ) )
=> ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(50,plain,
( ( ? [SY32: $i,SY33: $i] :
( ( aElementOf0 @ SY32 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ SY33 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ SY32 @ SY33 )
= sK1_W0 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(51,plain,
( ( aElementOf0 @ sK1_W0 @ xI )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(52,plain,
( ( sK1_W0 != sz00 )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(53,plain,
( ( ! [SY34: $i] :
( ( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= SY34 ) )
| ( aElementOf0 @ SY34 @ xI ) )
& ( SY34 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ SY34 ) @ ( sbrdtbr0 @ sK1_W0 ) )
=> ? [W2: $i] :
( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 )
& ! [W3: $i] :
( ( ( ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) )
| ( aElementOf0 @ W3 @ xI ) )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(54,plain,
( ( ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[49]) ).
thf(55,plain,
( ( ~ ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[54]) ).
thf(56,plain,
( ( ( aElement0 @ xa )
& ( aElement0 @ xb ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(57,plain,
( ( ( xa != sz00 )
| ( xb != sz00 ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(58,plain,
( ( aElement0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(59,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(60,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(61,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(62,plain,
( ( ! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(63,plain,
( ( sz10 != sz00 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(64,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( aElementOf0 @ W2 @ W1 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(65,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(66,plain,
( ( ! [SY34: $i] :
( ( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= SY34 ) )
| ( aElementOf0 @ SY34 @ xI ) )
& ( SY34 != sz00 ) )
=> ( ( iLess0 @ ( sbrdtbr0 @ SY34 ) @ ( sbrdtbr0 @ sK1_W0 ) )
=> ? [W2: $i] :
( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 )
& ! [W3: $i] :
( ( ( ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W5 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) )
| ( aElementOf0 @ W3 @ xI ) )
& ( W3 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W3 ) @ ( sbrdtbr0 @ W2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(67,plain,
( ( sK1_W0 != sz00 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(68,plain,
( ( aElementOf0 @ sK1_W0 @ xI )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(69,plain,
( ( ? [SY32: $i,SY33: $i] :
( ( aElementOf0 @ SY32 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ SY33 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ SY32 @ SY33 )
= sK1_W0 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(70,plain,
( ( ~ ? [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
| ( aElementOf0 @ W1 @ xI ) )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) )
& ( aElementOf0 @ W2 @ xI )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(71,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX1 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX1 @ SX2 )
!= SX0 ) )
| ( aElementOf0 @ SX0 @ xI ) )
| ~ ( ( SX0 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX0 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aSet0 @ SX0 )
| ~ ( aSet0 @ SX1 ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ SX0 )
| ( aElementOf0 @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ SX1 )
| ( aElementOf0 @ SX2 @ SX0 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ~ ( iLess0 @ SX0 @ SX1 )
| $true ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 ) )
| ~ ( aElement0 @ SX2 ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 )
= ( sdtpldt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 ) )
| ( aElement0 @ ( sdtpldt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aElement0 @ SX0 )
| ~ ( aElement0 @ SX1 ) )
| ( ( sdtpldt0 @ SX0 @ SX1 )
= ( sdtpldt0 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(77,plain,
( ( sK1_W0 != sz00 )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(78,plain,
( ( sz10 != sz00 )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(79,plain,
( ( ( xa != sz00 )
| ( xb != sz00 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(80,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX1 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX1 @ SX2 )
!= SX0 ) )
| ( aElementOf0 @ SX0 @ xI ) )
| ~ ( ( SX0 != sz00 ) ) )
| ~ ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX1 ) @ ( sbrdtbr0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(81,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX1 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sK1_W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(82,plain,
( ( ~ ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(83,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( ( ( sdtpldt0 @ SX0 @ sz00 )
!= SX0 )
| ( SX0
!= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(84,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) )
| ( aElementOf0 @ SV1 @ xI ) )
| ~ ( ( SV1 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(85,plain,
! [SV2: $i] :
( ( ! [SY57: $i] :
( ~ ~ ( ~ ( aSet0 @ SV2 )
| ~ ( aSet0 @ SY57 ) )
| ~ ~ ( ~ ! [SY58: $i] :
( ~ ( aElementOf0 @ SY58 @ SV2 )
| ( aElementOf0 @ SY58 @ SY57 ) )
| ~ ! [SY59: $i] :
( ~ ( aElementOf0 @ SY59 @ SY57 )
| ( aElementOf0 @ SY59 @ SV2 ) ) )
| ( SV2 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV3: $i] :
( ( ! [SY60: $i] :
( ~ ~ ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SY60 ) )
| ~ ( iLess0 @ SV3 @ SY60 )
| $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV4: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SY61 ) )
| ~ ( aElement0 @ SY62 ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SY61 ) @ SY62 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SY61 @ SY62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV5: $i] :
( ( ! [SY63: $i] :
( ~ ~ ( ~ ( aElement0 @ SV5 )
| ~ ( aElement0 @ SY63 ) )
| ( aElement0 @ ( sdtpldt0 @ SV5 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV6: $i] :
( ( ! [SY64: $i] :
( ~ ~ ( ~ ( aElement0 @ SV6 )
| ~ ( aElement0 @ SY64 ) )
| ( ( sdtpldt0 @ SV6 @ SY64 )
= ( sdtpldt0 @ SY64 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(90,plain,
( ( sK1_W0 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(91,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(92,plain,
( ( ( xa != sz00 )
= $true )
| ( ( xb != sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(93,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX1 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX1 @ SX2 )
!= SX0 ) )
| ( aElementOf0 @ SX0 @ xI ) )
| ~ ( ( SX0 != sz00 ) ) )
| ~ ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX1 ) @ ( sbrdtbr0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(94,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX1 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sK1_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(95,plain,
( ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV7: $i] :
( ( ~ ( aElement0 @ SV7 )
| ~ ( ( ( sdtpldt0 @ SV7 @ sz00 )
!= SV7 )
| ( SV7
!= ( sdtpldt0 @ sz00 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) )
| ( aElementOf0 @ SV1 @ xI ) )
| ~ ( ( SV1 != sz00 ) ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(98,plain,
! [SV8: $i,SV2: $i] :
( ( ~ ~ ( ~ ( aSet0 @ SV2 )
| ~ ( aSet0 @ SV8 ) )
| ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(99,plain,
! [SV9: $i,SV3: $i] :
( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV9 ) )
| ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(100,plain,
! [SV10: $i,SV4: $i] :
( ( ! [SY67: $i] :
( ~ ~ ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) )
| ~ ( aElement0 @ SY67 ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SY67 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SY67 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ~ ( ~ ( aElement0 @ SV5 )
| ~ ( aElement0 @ SV11 ) )
| ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ~ ( ~ ( aElement0 @ SV6 )
| ~ ( aElement0 @ SV12 ) )
| ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(103,plain,
( ( ( xa = sz00 )
= $false )
| ( ( xb != sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX1 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX1 @ SX2 )
!= SX0 ) )
| ( aElementOf0 @ SX0 @ xI ) )
| ~ ( ( SX0 != sz00 ) ) )
| ~ ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX1 ) @ ( sbrdtbr0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(105,plain,
( ( ~ ~ ! [SY68: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY68 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ sK2_SX0 @ SY68 )
!= sK1_W0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[94]) ).
thf(106,plain,
( ( ~ ( aElement0 @ xa ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(107,plain,
( ( ~ ( aElement0 @ xb ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(108,plain,
! [SV7: $i] :
( ( ( ~ ( aElement0 @ SV7 ) )
= $true )
| ( ( ~ ( ( ( sdtpldt0 @ SV7 @ sz00 )
!= SV7 )
| ( SV7
!= ( sdtpldt0 @ sz00 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) )
| ( aElementOf0 @ SV1 @ xI ) )
| ~ ( ( SV1 != sz00 ) ) ) )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( aSet0 @ SV2 )
| ~ ( aSet0 @ SV8 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV9 ) ) )
= $true )
| ( ( ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) )
| ~ ( aElement0 @ SV13 ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ SV5 )
| ~ ( aElement0 @ SV11 ) ) )
= $true )
| ( ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ SV6 )
| ~ ( aElement0 @ SV12 ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(115,plain,
( ( ( xb = sz00 )
= $false )
| ( ( xa = sz00 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
| ~ ( ( SV14 != sz00 ) ) )
| ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(117,plain,
( ( ~ ! [SY68: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY68 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ sK2_SX0 @ SY68 )
!= sK1_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(118,plain,
( ( aElement0 @ xa )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(119,plain,
( ( aElement0 @ xb )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(120,plain,
! [SV7: $i] :
( ( ( aElement0 @ SV7 )
= $false )
| ( ( ~ ( ( ( sdtpldt0 @ SV7 @ sz00 )
!= SV7 )
| ( SV7
!= ( sdtpldt0 @ sz00 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) )
| ( aElementOf0 @ SV1 @ xI ) )
| ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(122,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ( aSet0 @ SV2 )
| ~ ( aSet0 @ SV8 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(123,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV9 ) ) )
= $false )
| ( ( ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(124,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) )
| ~ ( aElement0 @ SV13 ) ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(125,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ( aElement0 @ SV5 )
| ~ ( aElement0 @ SV11 ) ) )
= $false )
| ( ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( ~ ( aElement0 @ SV6 )
| ~ ( aElement0 @ SV12 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV14: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
| ~ ( ( SV14 != sz00 ) ) )
| ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(128,plain,
( ( ! [SY68: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY68 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ sK2_SX0 @ SY68 )
!= sK1_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV7: $i] :
( ( ( ( ( sdtpldt0 @ SV7 @ sz00 )
!= SV7 )
| ( SV7
!= ( sdtpldt0 @ sz00 @ SV7 ) ) )
= $false )
| ( ( aElement0 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(130,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) )
| ( aElementOf0 @ SV1 @ xI ) ) )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( aSet0 @ SV2 )
| ~ ( aSet0 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(132,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(133,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) )
| ~ ( aElement0 @ SV13 ) ) )
= $false )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aElement0 @ SV11 ) )
= $true )
| ( ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(135,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( aElement0 @ SV6 )
| ~ ( aElement0 @ SV12 ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(136,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
| ~ ( ( SV14 != sz00 ) ) )
| ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(137,plain,
( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ sK2_SX0 @ sK3_SY68 )
!= sK1_W0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(138,plain,
! [SV7: $i] :
( ( ( ( sdtpldt0 @ SV7 @ sz00 )
!= SV7 )
= $false )
| ( ( aElement0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(139,plain,
! [SV7: $i] :
( ( ( SV7
!= ( sdtpldt0 @ sz00 @ SV7 ) )
= $false )
| ( ( aElement0 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(140,plain,
! [SV1: $i] :
( ( ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) )
| ( aElementOf0 @ SV1 @ xI ) )
= $false )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(141,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( aSet0 @ SV2 ) )
= $true )
| ( ( ~ ( aSet0 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(142,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(143,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) )
| ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(144,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 ) )
= $true )
| ( ( ~ ( aElement0 @ SV11 ) )
= $true )
| ( ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(145,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( aElement0 @ SV6 ) )
= $true )
| ( ( ~ ( aElement0 @ SV12 ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(146,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
| ~ ( ( SV14 != sz00 ) ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(147,plain,
( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ sK2_SX0 @ sK3_SY68 )
!= sK1_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(148,plain,
! [SV7: $i] :
( ( ( ( sdtpldt0 @ SV7 @ sz00 )
= SV7 )
= $true )
| ( ( aElement0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(149,plain,
! [SV7: $i] :
( ( ( SV7
= ( sdtpldt0 @ sz00 @ SV7 ) )
= $true )
| ( ( aElement0 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(150,plain,
! [SV1: $i] :
( ( ( ~ ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) ) )
= $false )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(151,plain,
! [SV1: $i] :
( ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(152,plain,
! [SV8: $i,SV2: $i] :
( ( ( aSet0 @ SV2 )
= $false )
| ( ( ~ ( aSet0 @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(153,plain,
! [SV9: $i,SV3: $i] :
( ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV11: $i,SV5: $i] :
( ( ( aElement0 @ SV5 )
= $false )
| ( ( ~ ( aElement0 @ SV11 ) )
= $true )
| ( ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(156,plain,
! [SV12: $i,SV6: $i] :
( ( ( aElement0 @ SV6 )
= $false )
| ( ( ~ ( aElement0 @ SV12 ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(157,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
| ~ ( ( SV14 != sz00 ) ) ) )
= $false )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(158,plain,
( ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ sK2_SX0 @ sK3_SY68 )
!= sK1_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(159,plain,
! [SV1: $i] :
( ( ( ! [SY49: $i] :
~ ~ ! [SY50: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY49 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY50 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY49 @ SY50 )
!= SV1 ) ) )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(160,plain,
! [SV1: $i] :
( ( ( SV1 != sz00 )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(161,plain,
! [SV2: $i,SV8: $i] :
( ( ( aSet0 @ SV8 )
= $false )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
| ( SV2 = SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(162,plain,
! [SV3: $i,SV9: $i] :
( ( ( aNaturalNumber0 @ SV9 )
= $false )
| ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( ~ ( iLess0 @ SV3 @ SV9 )
| $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(163,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) ) )
= $false )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(164,plain,
! [SV5: $i,SV11: $i] :
( ( ( aElement0 @ SV11 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aElement0 @ ( sdtpldt0 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(165,plain,
! [SV6: $i,SV12: $i] :
( ( ( aElement0 @ SV12 )
= $false )
| ( ( aElement0 @ SV6 )
= $false )
| ( ( ( sdtpldt0 @ SV6 @ SV12 )
= ( sdtpldt0 @ SV12 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(166,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
| ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(167,plain,
( ( ~ ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(168,plain,
( ( ( sdtpldt0 @ sK2_SX0 @ sK3_SY68 )
!= sK1_W0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(169,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ~ ! [SY74: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY74 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV15 @ SY74 )
!= SV1 ) ) )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV1: $i] :
( ( ( SV1 = sz00 )
= $true )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(171,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(172,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( iLess0 @ SV3 @ SV9 ) )
= $true )
| ( $true = $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( aNaturalNumber0 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(173,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 )
| ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(174,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) ) )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(175,plain,
( ( ~ ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(176,plain,
( ( ( sdtpldt0 @ sK2_SX0 @ sK3_SY68 )
= sK1_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(177,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ! [SY74: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY74 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV15 @ SY74 )
!= SV1 ) ) )
= $false )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(178,plain,
! [SV1: $i] :
( ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) ) )
= $true )
| ( ( ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(179,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) ) )
= $false )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(180,plain,
! [SV9: $i,SV3: $i] :
( ( ( iLess0 @ SV3 @ SV9 )
= $false )
| ( $true = $true )
| ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( aNaturalNumber0 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(181,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 ) )
= $true )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(182,plain,
! [SV14: $i] :
( ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) )
| ( aElementOf0 @ SV14 @ xI ) )
= $false )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(183,plain,
( ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV1: $i,SV15: $i] :
( ( ( ! [SY74: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY74 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV15 @ SY74 )
!= SV1 ) ) )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(185,plain,
! [SV1: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(186,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) )
| ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(187,plain,
! [SV13: $i,SV10: $i,SV4: $i] :
( ( ( aElement0 @ SV4 )
= $false )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(188,plain,
! [SV14: $i] :
( ( ( ~ ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) ) )
= $false )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(189,plain,
! [SV14: $i] :
( ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(190,plain,
( ( ~ ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(191,plain,
( ( ~ ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(192,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 ) ) )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) ) )
= $true )
| ( ( ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV13: $i,SV4: $i,SV10: $i] :
( ( ( aElement0 @ SV10 )
= $false )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( ~ ( aElement0 @ SV13 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV14: $i] :
( ( ( ! [SY69: $i] :
~ ~ ! [SY70: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY69 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY70 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY69 @ SY70 )
!= SV14 ) ) )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(197,plain,
! [SV14: $i] :
( ( ( SV14 != sz00 )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(198,plain,
( ( aElementOf0 @ sK2_SX0 @ ( slsdtgt0 @ xa ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(199,plain,
( ( aElementOf0 @ sK3_SY68 @ ( slsdtgt0 @ xb ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(200,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 ) ) )
= $false )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
| ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) )
| ~ ! [SY77: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY77 ) )
| ( aElementOf0 @ SY77 @ xI ) )
| ~ ( ( SY77 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY77 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[193]) ).
thf(202,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY65: $i] :
( ~ ( aElementOf0 @ SY65 @ SV2 )
| ( aElementOf0 @ SY65 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV10: $i,SV4: $i,SV13: $i] :
( ( ( aElement0 @ SV13 )
= $false )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( aElement0 @ SV10 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV4 @ SV10 ) @ SV13 )
= ( sdtpldt0 @ SV4 @ ( sdtpldt0 @ SV10 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV14: $i,SV17: $i] :
( ( ( ~ ~ ! [SY80: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY80 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV17 @ SY80 )
!= SV14 ) ) )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV14: $i] :
( ( ( SV14 = sz00 )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(206,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 ) )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(207,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
| ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) )
| ~ ! [SY77: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY77 ) )
| ( aElementOf0 @ SY77 @ xI ) )
| ~ ( ( SY77 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY77 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(208,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
| ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 ) )
= $false )
| ( ( ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[202]) ).
thf(209,plain,
! [SV14: $i,SV17: $i] :
( ( ( ~ ! [SY80: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY80 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV17 @ SY80 )
!= SV14 ) ) )
= $false )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(210,plain,
! [SV14: $i] :
( ( ( ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(211,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(212,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
| ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) )
| ~ ! [SY77: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY77 ) )
| ( aElementOf0 @ SY77 @ xI ) )
| ~ ( ( SY77 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY77 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(213,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(214,plain,
! [SV2: $i,SV8: $i] :
( ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 )
= $false )
| ( ( ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(215,plain,
! [SV14: $i,SV17: $i] :
( ( ( ! [SY80: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY80 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV17 @ SY80 )
!= SV14 ) ) )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(216,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) )
| ~ ( ( ( sK6_SY71 @ SV14 )
!= sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ ( sK6_SY71 @ SV14 ) ) @ ( sbrdtbr0 @ SV14 ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(217,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(218,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
| ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(219,plain,
! [SV1: $i] :
( ( ( ~ ! [SY77: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY77 ) )
| ( aElementOf0 @ SY77 @ xI ) )
| ~ ( ( SY77 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY77 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(220,plain,
! [SV2: $i,SV8: $i] :
( ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(221,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 )
= $false )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(222,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 ) ) )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(223,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) )
| ~ ( ( ( sK6_SY71 @ SV14 )
!= sz00 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(224,plain,
! [SV14: $i] :
( ( ( ~ ( iLess0 @ ( sbrdtbr0 @ ( sK6_SY71 @ SV14 ) ) @ ( sbrdtbr0 @ SV14 ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(225,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
| ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(227,plain,
! [SV1: $i] :
( ( ( ! [SY77: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY77 ) )
| ( aElementOf0 @ SY77 @ xI ) )
| ~ ( ( SY77 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY77 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(228,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY66: $i] :
( ~ ( aElementOf0 @ SY66 @ SV8 )
| ( aElementOf0 @ SY66 @ SV2 ) ) )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(229,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( aElementOf0 @ ( sK7_SY66 @ SV2 @ SV8 ) @ SV8 )
| ( aElementOf0 @ ( sK7_SY66 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 )
= $false )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[221]) ).
thf(230,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 ) ) )
= $false )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(231,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) )
| ~ ( ( ( sK6_SY71 @ SV14 )
!= sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(232,plain,
! [SV14: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ ( sK6_SY71 @ SV14 ) ) @ ( sbrdtbr0 @ SV14 ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(233,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ~ ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
| ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) )
| ( aElementOf0 @ SV19 @ xI ) )
| ~ ( ( SV19 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( aElementOf0 @ ( sK8_SY66 @ SV2 @ SV8 ) @ SV8 )
| ( aElementOf0 @ ( sK8_SY66 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[228]) ).
thf(237,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( aElementOf0 @ ( sK7_SY66 @ SV2 @ SV8 ) @ SV8 ) )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 )
= $false )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(238,plain,
! [SV8: $i,SV2: $i] :
( ( ( aElementOf0 @ ( sK7_SY66 @ SV2 @ SV8 ) @ SV2 )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 )
= $false )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(239,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 ) )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(240,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) )
| ~ ( ( ( sK6_SY71 @ SV14 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(241,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(242,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(243,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK4_SX1 @ SV1 )
!= sz00 ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(244,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) )
| ( aElementOf0 @ SV19 @ xI ) )
| ~ ( ( SV19 != sz00 ) ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(245,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( aElementOf0 @ ( sK8_SY66 @ SV2 @ SV8 ) @ SV8 ) )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(246,plain,
! [SV8: $i,SV2: $i] :
( ( ( aElementOf0 @ ( sK8_SY66 @ SV2 @ SV8 ) @ SV2 )
= $false )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(247,plain,
! [SV8: $i,SV2: $i] :
( ( ( aElementOf0 @ ( sK7_SY66 @ SV2 @ SV8 ) @ SV8 )
= $true )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV8 )
= $false )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(248,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(249,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(250,plain,
! [SV14: $i] :
( ( ( ~ ( ( ( sK6_SY71 @ SV14 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(251,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
!= SV1 )
= $true )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(252,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(253,plain,
! [SV1: $i] :
( ( ( ( sK4_SX1 @ SV1 )
!= sz00 )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(254,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( ~ ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) )
| ( aElementOf0 @ SV19 @ xI ) )
| ~ ( ( SV19 != sz00 ) ) ) )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV8: $i,SV2: $i] :
( ( ( aElementOf0 @ ( sK8_SY66 @ SV2 @ SV8 ) @ SV8 )
= $true )
| ( ( aElementOf0 @ ( sK5_SY65 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( SV2 = SV8 )
= $true )
| ( ( aSet0 @ SV2 )
= $false )
| ( ( aSet0 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(256,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(257,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(258,plain,
! [SV14: $i] :
( ( ( ( sK6_SY71 @ SV14 )
!= sz00 )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(259,plain,
! [SV1: $i,SV16: $i,SV15: $i] :
( ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( ~ ( ( SV1 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(260,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(261,plain,
! [SV1: $i] :
( ( ( ( sK4_SX1 @ SV1 )
= sz00 )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(262,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) )
| ( aElementOf0 @ SV19 @ xI ) )
| ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(263,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(264,plain,
! [SV14: $i] :
( ( ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(265,plain,
! [SV14: $i] :
( ( ( ( sK6_SY71 @ SV14 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(266,plain,
! [SV15: $i,SV16: $i,SV1: $i] :
( ( ( SV1 != sz00 )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(267,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(268,plain,
! [SV1: $i] :
( ( ( ~ ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(269,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) )
| ( aElementOf0 @ SV19 @ xI ) ) )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(270,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ~ ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV14: $i] :
( ( ( ~ ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(272,plain,
! [SV14: $i] :
( ( ( ~ ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(273,plain,
! [SV15: $i,SV16: $i,SV1: $i] :
( ( ( SV1 = sz00 )
= $true )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(274,plain,
! [SV1: $i] :
( ( ( ~ ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(275,plain,
! [SV1: $i] :
( ( ( aElementOf0 @ ( sK4_SX1 @ SV1 ) @ xI )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(276,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) )
| ( aElementOf0 @ SV19 @ xI ) )
= $false )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(277,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(278,plain,
! [SV14: $i] :
( ( ( ~ ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(279,plain,
! [SV14: $i] :
( ( ( aElementOf0 @ ( sK6_SY71 @ SV14 ) @ xI )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(280,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) ) )
= $true )
| ( ( ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(281,plain,
! [SV1: $i] :
( ( ( ! [SY75: $i] :
~ ~ ! [SY76: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY75 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY76 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY75 @ SY76 )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(282,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) ) )
= $false )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(283,plain,
! [SV1: $i,SV19: $i] :
( ( ( aElementOf0 @ SV19 @ xI )
= $false )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(284,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
!= SV14 )
= $true )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(285,plain,
! [SV14: $i] :
( ( ( ! [SY81: $i] :
~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY81 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY82 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY81 @ SY82 )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(286,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(287,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY85: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY85 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ SY85 )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[281]) ).
thf(288,plain,
! [SV1: $i,SV19: $i] :
( ( ( ! [SY83: $i] :
~ ~ ! [SY84: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY83 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY84 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY83 @ SY84 )
!= SV19 ) ) )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(289,plain,
! [SV1: $i,SV19: $i] :
( ( ( SV19 != sz00 )
= $false )
| ( ( aElementOf0 @ SV19 @ xI )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(290,plain,
! [SV14: $i,SV18: $i,SV17: $i] :
( ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( ~ ( ( SV14 != sz00 ) ) )
= $true )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(291,plain,
! [SV14: $i] :
( ( ( ~ ~ ! [SY86: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY86 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ SY86 )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[285]) ).
thf(292,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SX1 ) )
| ~ ( aElementOf0 @ SX1 @ xI ) )
| ~ ( ( SX1 != sz00 ) ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SX2 ) )
| ( aElementOf0 @ SX2 @ xI ) )
| ~ ( ( SX2 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SX2 ) @ ( sbrdtbr0 @ SX1 ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(293,plain,
! [SV1: $i] :
( ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY85 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ SY85 )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(294,plain,
! [SV1: $i,SV19: $i,SV20: $i] :
( ( ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY87 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV20 @ SY87 )
!= SV19 ) ) )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(295,plain,
! [SV1: $i,SV19: $i] :
( ( ( SV19 = sz00 )
= $true )
| ( ( aElementOf0 @ SV19 @ xI )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(296,plain,
! [SV17: $i,SV18: $i,SV14: $i] :
( ( ( SV14 != sz00 )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(297,plain,
! [SV14: $i] :
( ( ( ~ ! [SY86: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY86 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ SY86 )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(298,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
| ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) )
| ~ ! [SY90: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY90 ) )
| ( aElementOf0 @ SY90 @ xI ) )
| ~ ( ( SY90 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY90 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(299,plain,
! [SV1: $i] :
( ( ( ! [SY85: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY85 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ SY85 )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(300,plain,
! [SV1: $i,SV19: $i,SV20: $i] :
( ( ( ~ ! [SY87: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY87 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV20 @ SY87 )
!= SV19 ) ) )
= $false )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(301,plain,
! [SV1: $i,SV19: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) )
= $false )
| ( ( aElementOf0 @ SV19 @ xI )
= $false )
| ( ( SV19 = sz00 )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(302,plain,
! [SV17: $i,SV18: $i,SV14: $i] :
( ( ( SV14 = sz00 )
= $true )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(303,plain,
! [SV14: $i] :
( ( ( ! [SY86: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY86 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ SY86 )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(304,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
| ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) )
| ~ ! [SY90: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY90 ) )
| ( aElementOf0 @ SY90 @ xI ) )
| ~ ( ( SY90 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY90 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(305,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ ( sK12_SY85 @ SV1 ) )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[299]) ).
thf(306,plain,
! [SV1: $i,SV19: $i,SV20: $i] :
( ( ( ! [SY87: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY87 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV20 @ SY87 )
!= SV19 ) ) )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(307,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ! [SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX2 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX2 @ SX3 )
!= SY71 ) )
| ~ ( aElementOf0 @ SY71 @ xI ) )
| ~ ( ( SY71 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY71 ) @ ( sbrdtbr0 @ SV14 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(308,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ ( sK13_SY86 @ SV14 ) )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(309,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
| ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) )
| ~ ! [SY90: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY90 ) )
| ( aElementOf0 @ SY90 @ xI ) )
| ~ ( ( SY90 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY90 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(310,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ ( sK12_SY85 @ SV1 ) )
!= ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(311,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 ) ) )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(312,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) )
| ~ ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
!= sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) @ ( sbrdtbr0 @ SV14 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(313,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ ( sK13_SY86 @ SV14 ) )
!= ( sK6_SY71 @ SV14 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(314,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
| ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(315,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ! [SY90: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY90 ) )
| ( aElementOf0 @ SY90 @ xI ) )
| ~ ( ( SY90 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY90 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(316,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ ( sK12_SY85 @ SV1 ) )
!= ( sK4_SX1 @ SV1 ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(317,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 ) ) )
= $false )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(318,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) )
| ~ ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
!= sz00 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(319,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( iLess0 @ ( sbrdtbr0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) @ ( sbrdtbr0 @ SV14 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(320,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ ( sK13_SY86 @ SV14 ) )
!= ( sK6_SY71 @ SV14 ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(321,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
| ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(322,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ! [SY90: $i] :
( ~ ~ ( ~ ( ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SX3 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SX4 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SX3 @ SX4 )
!= SY90 ) )
| ( aElementOf0 @ SY90 @ xI ) )
| ~ ( ( SY90 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SY90 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(323,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(324,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ ( sK12_SY85 @ SV1 ) )
!= ( sK4_SX1 @ SV1 ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(325,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 ) )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(326,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) )
| ~ ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
!= sz00 ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(327,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) @ ( sbrdtbr0 @ SV14 ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(328,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(329,plain,
! [SV14: $i] :
( ( ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ ( sK13_SY86 @ SV14 ) )
!= ( sK6_SY71 @ SV14 ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(330,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
| ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(331,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) )
| ( aElementOf0 @ SV22 @ xI ) )
| ~ ( ( SV22 != sz00 ) ) )
| ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(332,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(333,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ ( sK9_SY75 @ SV1 ) @ ( sK12_SY85 @ SV1 ) )
= ( sK4_SX1 @ SV1 ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(334,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(335,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) )
| ~ ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
!= sz00 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(336,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(337,plain,
! [SV14: $i] :
( ( ( ( sdtpldt0 @ ( sK10_SY81 @ SV14 ) @ ( sK13_SY86 @ SV14 ) )
= ( sK6_SY71 @ SV14 ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(338,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(339,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(340,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) )
| ( aElementOf0 @ SV22 @ xI ) )
| ~ ( ( SV22 != sz00 ) ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(341,plain,
! [SV1: $i] :
( ( ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(342,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(343,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(344,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
!= sz00 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(345,plain,
! [SV14: $i] :
( ( ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(346,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(347,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
!= sz00 )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(348,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ( ~ ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) )
| ( aElementOf0 @ SV22 @ xI ) )
| ~ ( ( SV22 != sz00 ) ) ) )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(349,plain,
! [SV1: $i] :
( ( ( ~ ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(350,plain,
! [SV1: $i] :
( ( ( ~ ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(351,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(352,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(353,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
!= sz00 )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(354,plain,
! [SV14: $i] :
( ( ( ~ ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(355,plain,
! [SV14: $i] :
( ( ( ~ ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(356,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
| ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(357,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ( sK11_SX1 @ SV16 @ SV15 @ SV1 )
= sz00 )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(358,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) )
| ( aElementOf0 @ SV22 @ xI ) )
| ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(359,plain,
! [SV1: $i] :
( ( ( aElementOf0 @ ( sK9_SY75 @ SV1 ) @ ( slsdtgt0 @ xa ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(360,plain,
! [SV1: $i] :
( ( ( aElementOf0 @ ( sK12_SY85 @ SV1 ) @ ( slsdtgt0 @ xb ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(361,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ~ ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(362,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
| ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(363,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ( sK14_SY71 @ SV18 @ SV17 @ SV14 )
= sz00 )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(364,plain,
! [SV14: $i] :
( ( ( aElementOf0 @ ( sK10_SY81 @ SV14 ) @ ( slsdtgt0 @ xa ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(365,plain,
! [SV14: $i] :
( ( ( aElementOf0 @ ( sK13_SY86 @ SV14 ) @ ( slsdtgt0 @ xb ) )
= $true )
| ( ( aElementOf0 @ SV14 @ xI )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(366,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(367,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(368,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) )
| ( aElementOf0 @ SV22 @ xI ) ) )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(369,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(370,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(371,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(372,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(373,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( aElementOf0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) @ xI )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(374,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) )
| ( aElementOf0 @ SV22 @ xI ) )
= $false )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(375,plain,
! [SV1: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
!= SV19 )
= $true )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(376,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(377,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( aElementOf0 @ ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) @ xI )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(378,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY88 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY89 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY88 @ SY89 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(379,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ~ ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) ) )
= $false )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(380,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( aElementOf0 @ SV22 @ xI )
= $false )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(381,plain,
! [SV1: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( ( sdtpldt0 @ SV20 @ SV21 )
= SV19 )
= $false )
| ( ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( ~ ( ( SV19 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(382,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ! [SY93: $i] :
~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY93 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY94 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY93 @ SY94 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(383,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ~ ! [SY97: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY97 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ SY97 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[378]) ).
thf(384,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( ! [SY95: $i] :
~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SY95 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY96 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SY95 @ SY96 )
!= SV22 ) ) )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(385,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( SV22 != sz00 )
= $false )
| ( ( aElementOf0 @ SV22 @ xI )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(386,plain,
! [SV1: $i,SV20: $i,SV21: $i,SV19: $i] :
( ( ( SV19 != sz00 )
= $false )
| ( ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
= SV19 )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(387,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ! [SY98: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY98 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ SY98 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[382]) ).
thf(388,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ! [SY97: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY97 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ SY97 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(389,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV23: $i] :
( ( ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY99 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV23 @ SY99 )
!= SV22 ) ) )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(390,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( SV22 = sz00 )
= $true )
| ( ( aElementOf0 @ SV22 @ xI )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(391,plain,
! [SV1: $i,SV20: $i,SV21: $i,SV19: $i] :
( ( ( SV19 = sz00 )
= $true )
| ( ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
= SV19 )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(392,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ! [SY98: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY98 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ SY98 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(393,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ! [SY97: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY97 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ SY97 )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(394,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV23: $i] :
( ( ( ~ ! [SY99: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY99 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV23 @ SY99 )
!= SV22 ) ) )
= $false )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(395,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
= $false )
| ( ( aElementOf0 @ SV22 @ xI )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(396,plain,
! [SV21: $i,SV20: $i,SV1: $i,SV19: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ SV19 ) @ ( sbrdtbr0 @ ( sK4_SX1 @ SV1 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV20 @ SV21 )
= SV19 )
= $false )
| ( ( aElementOf0 @ SV20 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV21 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV19 = sz00 )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( aElementOf0 @ SV1 @ xI )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(397,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ! [SY98: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY98 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ SY98 )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(398,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[393]) ).
thf(399,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV23: $i] :
( ( ( ! [SY99: $i] :
~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SY99 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV23 @ SY99 )
!= SV22 ) ) )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(400,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[397]) ).
thf(401,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(402,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 ) ) )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(403,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(404,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(405,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 ) ) )
= $false )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(406,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(407,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(408,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) )
!= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(409,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) )
| ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 ) )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(410,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(411,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) )
!= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(412,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(413,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ( sdtpldt0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) )
= ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(414,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(415,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(416,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ( sdtpldt0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) )
= ( sK14_SY71 @ SV18 @ SV17 @ SV14 ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(417,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(418,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(419,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(420,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( ~ ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(421,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( ~ ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(422,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(423,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(424,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(425,plain,
! [SV16: $i,SV15: $i,SV1: $i] :
( ( ( aElementOf0 @ ( sK15_SY88 @ SV1 @ SV15 @ SV16 ) @ ( slsdtgt0 @ xa ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(426,plain,
! [SV1: $i,SV15: $i,SV16: $i] :
( ( ( aElementOf0 @ ( sK17_SY97 @ SV16 @ SV15 @ SV1 ) @ ( slsdtgt0 @ xb ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(427,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ~ ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(428,plain,
! [SV18: $i,SV17: $i,SV14: $i] :
( ( ( aElementOf0 @ ( sK16_SY93 @ SV14 @ SV17 @ SV18 ) @ ( slsdtgt0 @ xa ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(429,plain,
! [SV14: $i,SV17: $i,SV18: $i] :
( ( ( aElementOf0 @ ( sK18_SY98 @ SV18 @ SV17 @ SV14 ) @ ( slsdtgt0 @ xb ) )
= $true )
| ( ( ( sdtpldt0 @ SV17 @ SV18 )
= SV14 )
= $false )
| ( ( aElementOf0 @ SV17 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV18 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV14 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(430,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) ) )
= $true )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(431,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV23: $i,SV24: $i] :
( ( ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
!= SV22 )
= $true )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(432,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV22: $i,SV24: $i,SV23: $i] :
( ( ( ( sdtpldt0 @ SV23 @ SV24 )
= SV22 )
= $false )
| ( ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( ~ ( ( SV22 != sz00 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(433,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV23: $i,SV24: $i,SV22: $i] :
( ( ( SV22 != sz00 )
= $false )
| ( ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
= SV22 )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(434,plain,
! [SV1: $i,SV15: $i,SV16: $i,SV23: $i,SV24: $i,SV22: $i] :
( ( ( SV22 = sz00 )
= $true )
| ( ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
= SV22 )
= $false )
| ( ( ~ ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) ) )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(435,plain,
! [SV24: $i,SV23: $i,SV1: $i,SV15: $i,SV16: $i,SV22: $i] :
( ( ( iLess0 @ ( sbrdtbr0 @ SV22 ) @ ( sbrdtbr0 @ ( sK11_SX1 @ SV16 @ SV15 @ SV1 ) ) )
= $false )
| ( ( ( sdtpldt0 @ SV23 @ SV24 )
= SV22 )
= $false )
| ( ( aElementOf0 @ SV23 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV24 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( iLess0 @ ( sbrdtbr0 @ SV1 ) @ ( sbrdtbr0 @ sK1_W0 ) )
= $false )
| ( ( ( sdtpldt0 @ SV15 @ SV16 )
= SV1 )
= $false )
| ( ( aElementOf0 @ SV15 @ ( slsdtgt0 @ xa ) )
= $false )
| ( ( aElementOf0 @ SV16 @ ( slsdtgt0 @ xb ) )
= $false )
| ( ( SV1 = sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(436,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[58,435,429,428,426,425,416,413,396,395,377,373,365,364,363,360,359,357,337,333,327,301,279,275,265,261,255,247,246,238,232,203,199,198,180,176,165,164,149,148,119,118,115,91,90,68]) ).
thf(437,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG111+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n015.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Oct 6 14:18:43 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.29/0.61
% 2.29/0.61 No.of.Axioms: 10
% 2.29/0.61
% 2.29/0.61 Length.of.Defs: 0
% 2.29/0.61
% 2.29/0.61 Contains.Choice.Funs: false
% 2.29/0.61 ..............
% 2.29/0.61
% 2.29/0.61 ********************************
% 2.29/0.61 * All subproblems solved! *
% 2.29/0.61 ********************************
% 2.29/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:14,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:436,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.29/0.61
% 2.29/0.61 %**** Beginning of derivation protocol ****
% 2.29/0.61 % SZS output start CNFRefutation
% See solution above
% 2.29/0.61
% 2.29/0.61 %**** End of derivation protocol ****
% 2.29/0.61 %**** no. of clauses in derivation: 412 ****
% 2.29/0.61 %**** clause counter: 436 ****
% 2.29/0.61
% 2.29/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:14,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:436,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------