TSTP Solution File: NUM452+6 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM452+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 11:50:14 EDT 2022
% Result : Theorem 7.37s 7.56s
% Output : CNFRefutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 77
% Syntax : Number of formulae : 2547 (1021 unt; 40 typ; 0 def)
% Number of atoms : 29523 (8127 equ; 0 cnn)
% Maximal formula atoms : 56 ( 11 avg)
% Number of connectives : 89706 (21656 ~;15071 |; 643 &;52204 @)
% ( 20 <=>; 112 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 9 con; 0-3 aty)
% Number of variables : 7869 ( 0 ^7821 !; 48 ?;7869 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aDivisorOf0,type,
aDivisorOf0: $i > $i > $o ).
thf(tp_aElementOf0,type,
aElementOf0: $i > $i > $o ).
thf(tp_aInteger0,type,
aInteger0: $i > $o ).
thf(tp_aSet0,type,
aSet0: $i > $o ).
thf(tp_aSubsetOf0,type,
aSubsetOf0: $i > $i > $o ).
thf(tp_cS1395,type,
cS1395: $i ).
thf(tp_cS2043,type,
cS2043: $i ).
thf(tp_cS2076,type,
cS2076: $i ).
thf(tp_isClosed0,type,
isClosed0: $i > $o ).
thf(tp_isFinite0,type,
isFinite0: $i > $o ).
thf(tp_isOpen0,type,
isOpen0: $i > $o ).
thf(tp_isPrime0,type,
isPrime0: $i > $o ).
thf(tp_sK10_W1,type,
sK10_W1: $i > $i ).
thf(tp_sK11_SY108,type,
sK11_SY108: $i > $i > $i ).
thf(tp_sK12_W1,type,
sK12_W1: $i > $i ).
thf(tp_sK13_W3,type,
sK13_W3: $i > $i > $i > $i ).
thf(tp_sK14_W1,type,
sK14_W1: $i > $i ).
thf(tp_sK15_SY117,type,
sK15_SY117: $i > $i > $i ).
thf(tp_sK1_W1,type,
sK1_W1: $i > $i ).
thf(tp_sK2_W1,type,
sK2_W1: $i > $i ).
thf(tp_sK3_W1,type,
sK3_W1: $i > $i ).
thf(tp_sK4_W1,type,
sK4_W1: $i > $i ).
thf(tp_sK5_W1,type,
sK5_W1: $i > $i ).
thf(tp_sK6_W1,type,
sK6_W1: $i > $i ).
thf(tp_sK7_W1,type,
sK7_W1: $i > $i ).
thf(tp_sK8_SY98,type,
sK8_SY98: $i > $i > $i ).
thf(tp_sK9_W1,type,
sK9_W1: $i > $i ).
thf(tp_sbsmnsldt0,type,
sbsmnsldt0: $i > $i ).
thf(tp_sdtasdt0,type,
sdtasdt0: $i > $i > $i ).
thf(tp_sdtbsmnsldt0,type,
sdtbsmnsldt0: $i > $i > $i ).
thf(tp_sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(tp_sdtpldt0,type,
sdtpldt0: $i > $i > $i ).
thf(tp_sdtslmnbsdt0,type,
sdtslmnbsdt0: $i > $i > $i ).
thf(tp_smndt0,type,
smndt0: $i > $i ).
thf(tp_stldt0,type,
stldt0: $i > $i ).
thf(tp_sz00,type,
sz00: $i ).
thf(tp_sz10,type,
sz10: $i ).
thf(tp_szAzrzSzezqlpdtcmdtrp0,type,
szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).
thf(tp_xS,type,
xS: $i ).
thf(tp_xp,type,
xp: $i ).
thf(1,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( W1 != sz00 ) )
=> ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ cS1395 )
& ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeqClosed) ).
thf(2,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( isClosed0 @ W1 ) ) ) )
=> ( isClosed0 @ ( sbsmnsldt0 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionSClosed) ).
thf(3,axiom,
! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W0 @ cS1395 )
& ( aSubsetOf0 @ W1 @ cS1395 )
& ( isClosed0 @ W0 )
& ( isClosed0 @ W1 ) )
=> ( isClosed0 @ ( sdtbsmnsldt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionClosed) ).
thf(4,axiom,
! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W0 @ cS1395 )
& ( aSubsetOf0 @ W1 @ cS1395 )
& ( isOpen0 @ W0 )
& ( isOpen0 @ W1 ) )
=> ( isOpen0 @ ( sdtslmnbsdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mInterOpen) ).
thf(5,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( isOpen0 @ W1 ) ) ) )
=> ( isOpen0 @ ( sbsmnsldt0 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionOpen) ).
thf(6,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( isFinite0 @ W0 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSet) ).
thf(7,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElements) ).
thf(8,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSets) ).
thf(9,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ? [W1: $i] :
( ( aDivisorOf0 @ W1 @ W0 )
& ( isPrime0 @ W1 ) )
<=> ( ( W0 != sz10 )
& ( W0
!= ( smndt0 @ sz10 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
thf(10,axiom,
! [W0: $i] :
( ( ( aInteger0 @ W0 )
& ( W0 != sz00 ) )
=> ( ( isPrime0 @ W0 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrime) ).
thf(11,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 )
& ( aInteger0 @ W3 )
& ( W3 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModMul) ).
thf(12,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 )
& ( aInteger0 @ W3 ) )
=> ( ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
& ( sdteqdtlpzmzozddtrp0 @ W1 @ W3 @ W2 ) )
=> ( sdteqdtlpzmzozddtrp0 @ W0 @ W3 @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModTrn) ).
thf(13,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
=> ( sdteqdtlpzmzozddtrp0 @ W1 @ W0 @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModSym) ).
thf(14,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdteqdtlpzmzozddtrp0 @ W0 @ W0 @ W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModRef) ).
thf(15,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
thf(16,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) )
& ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
thf(17,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
thf(18,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
thf(19,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
thf(20,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
thf(21,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
thf(22,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
thf(23,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
thf(24,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
thf(25,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
thf(26,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
thf(27,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
thf(28,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
thf(29,axiom,
aInteger0 @ sz10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
thf(30,axiom,
aInteger0 @ sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
thf(31,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntegers) ).
thf(32,axiom,
( ( aInteger0 @ xp )
& ( xp != sz00 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( ( sdtasdt0 @ xp @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
& ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
& ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( ( sdtasdt0 @ xp @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
=> ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
thf(33,axiom,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
thf(34,axiom,
isFinite0 @ xS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2117) ).
thf(35,axiom,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) ) )
& ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
thf(36,axiom,
( ( aSet0 @ xS )
& ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xS )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( isPrime0 @ W1 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
= W0 ) ) )
& ( ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( isPrime0 @ W1 )
& ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) ) )
=> ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
= W0 ) ) )
=> ( aElementOf0 @ W0 @ xS ) ) )
& ( xS = cS2043 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
thf(37,conjecture,
( ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(38,negated_conjecture,
( ( ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[37]) ).
thf(39,plain,
( ( ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[38]) ).
thf(40,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( W1 != sz00 ) )
=> ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ cS1395 )
& ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(41,plain,
( ( ! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( isClosed0 @ W1 ) ) ) )
=> ( isClosed0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(42,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W0 @ cS1395 )
& ( aSubsetOf0 @ W1 @ cS1395 )
& ( isClosed0 @ W0 )
& ( isClosed0 @ W1 ) )
=> ( isClosed0 @ ( sdtbsmnsldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(43,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W0 @ cS1395 )
& ( aSubsetOf0 @ W1 @ cS1395 )
& ( isOpen0 @ W0 )
& ( isOpen0 @ W1 ) )
=> ( isOpen0 @ ( sdtslmnbsdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(44,plain,
( ( ! [W0: $i] :
( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( isOpen0 @ W1 ) ) ) )
=> ( isOpen0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(45,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( isFinite0 @ W0 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(46,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(47,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(48,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ? [W1: $i] :
( ( aDivisorOf0 @ W1 @ W0 )
& ( isPrime0 @ W1 ) )
<=> ( ( W0 != sz10 )
& ( W0
!= ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(49,plain,
( ( ! [W0: $i] :
( ( ( aInteger0 @ W0 )
& ( W0 != sz00 ) )
=> ( ( isPrime0 @ W0 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(50,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 )
& ( aInteger0 @ W3 )
& ( W3 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(51,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 )
& ( aInteger0 @ W3 ) )
=> ( ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
& ( sdteqdtlpzmzozddtrp0 @ W1 @ W3 @ W2 ) )
=> ( sdteqdtlpzmzozddtrp0 @ W0 @ W3 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(52,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
=> ( sdteqdtlpzmzozddtrp0 @ W1 @ W0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(53,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdteqdtlpzmzozddtrp0 @ W0 @ W0 @ W1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(54,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(55,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) )
& ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(56,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(57,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(58,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(59,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(60,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(61,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(62,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(63,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(64,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(65,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(66,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(67,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(68,plain,
( ( aInteger0 @ sz10 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(69,plain,
( ( aInteger0 @ sz00 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(70,plain,
( ( ! [W0: $i] :
( ( aInteger0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(71,plain,
( ( ( aInteger0 @ xp )
& ( xp != sz00 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( ( sdtasdt0 @ xp @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
& ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
& ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( ( sdtasdt0 @ xp @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
=> ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(72,plain,
( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(73,plain,
( ( isFinite0 @ xS )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(74,plain,
( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) ) ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) ) )
& ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(75,plain,
( ( ( aSet0 @ xS )
& ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xS )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( isPrime0 @ W1 )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
= W0 ) ) )
& ( ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( isPrime0 @ W1 )
& ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
& ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) ) )
=> ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
= W0 ) ) )
=> ( aElementOf0 @ W0 @ xS ) ) )
& ( xS = cS2043 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(76,plain,
( ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[39]) ).
thf(77,plain,
( ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[39]) ).
thf(78,plain,
( ( ~ ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[76]) ).
thf(79,plain,
( ( ~ ( ? [W0: $i] :
( ( aInteger0 @ W0 )
& ( ( sdtasdt0 @ xp @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[77]) ).
thf(80,plain,
( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
& ! [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W0 ) )
& ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(81,plain,
( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
& ! [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W0 ) )
& ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(82,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ cS1395 ) )
& ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(83,plain,
( ( ! [W0: $i] :
( ( ( aElementOf0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( ~ ( aSubsetOf0 @ ( sK1_W1 @ W0 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ W0 ) ) ) )
| ~ ( aSet0 @ W0 )
| ~ ( isFinite0 @ W0 )
| ( isClosed0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(84,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSubsetOf0 @ W0 @ cS1395 )
| ~ ( aSubsetOf0 @ W1 @ cS1395 )
| ~ ( isClosed0 @ W0 )
| ~ ( isClosed0 @ W1 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(85,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSubsetOf0 @ W0 @ cS1395 )
| ~ ( aSubsetOf0 @ W1 @ cS1395 )
| ~ ( isOpen0 @ W0 )
| ~ ( isOpen0 @ W1 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(86,plain,
( ( ! [W0: $i] :
( ( ( aElementOf0 @ ( sK2_W1 @ W0 ) @ W0 )
& ( ~ ( aSubsetOf0 @ ( sK2_W1 @ W0 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ W0 ) ) ) )
| ~ ( aSet0 @ W0 )
| ( isOpen0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(87,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(88,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| ! [W1: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(89,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(90,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) )
| ( ( aDivisorOf0 @ ( sK3_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK3_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ~ ( aDivisorOf0 @ W1 @ W0 )
| ~ ( isPrime0 @ W1 ) )
| ( W0 != sz10 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ~ ( aDivisorOf0 @ W1 @ W0 )
| ~ ( isPrime0 @ W1 ) )
| ( W0
!= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(91,plain,
( ( ! [W0: $i] :
( ( W0 = sz00 )
| ~ ( aInteger0 @ W0 ) )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(92,plain,
( ( ! [W0: $i,W1: $i] :
( ! [W2: $i,W3: $i] :
( ( W3 = sz00 )
| ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 ) )
& ! [W2: $i,W3: $i] :
( ( W3 = sz00 )
| ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(93,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W1 @ W3 @ W2 )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W3 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(94,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
| ( sdteqdtlpzmzozddtrp0 @ W1 @ W0 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(95,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(96,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(97,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(98,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(99,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(100,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(101,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(102,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(103,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(104,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(105,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(106,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(107,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(108,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(109,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aInteger0 @ ( smndt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(110,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(111,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK5_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK5_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ W0 ) )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ ( sK4_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ( ( sdtasdt0 @ xp @ W1 )
!= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W1 ) )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( xp != sz00 )
& ( aInteger0 @ xp )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(112,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( ! [SY106: $i] :
( ~ ( aElementOf0 @ SY106 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aElementOf0 @ SY106 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [SY107: $i] :
( ~ ( aElementOf0 @ SY107 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK10_W1 @ W0 ) @ ( sK11_SY108 @ SY107 @ W0 ) )
= ( sdtpldt0 @ SY107 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ ( sK11_SY108 @ SY107 @ W0 ) ) ) )
& ! [SY109: $i] :
( ~ ( aElementOf0 @ SY109 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aInteger0 @ SY109 ) )
& ! [SY110: $i] :
( ~ ( aElementOf0 @ SY110 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ W0 ) @ ( sdtpldt0 @ SY110 @ ( smndt0 @ W0 ) ) ) )
& ! [SY111: $i] :
( ~ ( aElementOf0 @ SY111 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY111 @ W0 @ ( sK10_W1 @ W0 ) ) )
& ! [SY112: $i] :
( ~ ( aInteger0 @ SY112 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY112 @ W0 @ ( sK10_W1 @ W0 ) )
| ( aElementOf0 @ SY112 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ! [SY113: $i] :
( ~ ( aInteger0 @ SY113 )
| ! [SY114: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ W0 ) @ SY114 )
!= ( sdtpldt0 @ SY113 @ ( smndt0 @ W0 ) ) )
| ~ ( aInteger0 @ SY114 ) )
| ( aElementOf0 @ SY113 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ! [SY115: $i] :
( ~ ( aInteger0 @ SY115 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ W0 ) @ ( sdtpldt0 @ SY115 @ ( smndt0 @ W0 ) ) )
| ( aElementOf0 @ SY115 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ( ( sK10_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK10_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK9_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK9_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( ! [SY96: $i] :
( ~ ( aElementOf0 @ SY96 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aElementOf0 @ SY96 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [SY97: $i] :
( ~ ( aElementOf0 @ SY97 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK7_W1 @ W0 ) @ ( sK8_SY98 @ SY97 @ W0 ) )
= ( sdtpldt0 @ SY97 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ ( sK8_SY98 @ SY97 @ W0 ) ) ) )
& ! [SY99: $i] :
( ~ ( aElementOf0 @ SY99 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aInteger0 @ SY99 ) )
& ! [SY100: $i] :
( ~ ( aElementOf0 @ SY100 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ W0 ) @ ( sdtpldt0 @ SY100 @ ( smndt0 @ W0 ) ) ) )
& ! [SY101: $i] :
( ~ ( aElementOf0 @ SY101 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY101 @ W0 @ ( sK7_W1 @ W0 ) ) )
& ! [SY102: $i] :
( ~ ( aInteger0 @ SY102 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY102 @ W0 @ ( sK7_W1 @ W0 ) )
| ( aElementOf0 @ SY102 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ! [SY103: $i] :
( ~ ( aInteger0 @ SY103 )
| ! [SY104: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ W0 ) @ SY104 )
!= ( sdtpldt0 @ SY103 @ ( smndt0 @ W0 ) ) )
| ~ ( aInteger0 @ SY104 ) )
| ( aElementOf0 @ SY103 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ! [SY105: $i] :
( ~ ( aInteger0 @ SY105 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ W0 ) @ ( sdtpldt0 @ SY105 @ ( smndt0 @ W0 ) ) )
| ( aElementOf0 @ SY105 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ( ( sK7_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK7_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK6_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK6_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(113,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) )
& ! [W0: $i] :
( ( W0 != sz10 )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( W0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK12_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK12_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(114,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ xS )
| ( ! [SY116: $i] :
( ~ ( aElementOf0 @ SY116 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK14_W1 @ W0 ) @ ( sK15_SY117 @ SY116 @ W0 ) )
= ( sdtpldt0 @ SY116 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ ( sK15_SY117 @ SY116 @ W0 ) ) ) )
& ! [SY118: $i] :
( ~ ( aElementOf0 @ SY118 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( aInteger0 @ SY118 ) )
& ! [SY119: $i] :
( ~ ( aElementOf0 @ SY119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ W0 ) @ ( sdtpldt0 @ SY119 @ ( smndt0 @ sz00 ) ) ) )
& ! [SY120: $i] :
( ~ ( aElementOf0 @ SY120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY120 @ sz00 @ ( sK14_W1 @ W0 ) ) )
& ! [SY121: $i] :
( ~ ( aInteger0 @ SY121 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY121 @ sz00 @ ( sK14_W1 @ W0 ) )
| ( aElementOf0 @ SY121 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ! [SY122: $i] :
( ~ ( aInteger0 @ SY122 )
| ! [SY123: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ W0 ) @ SY123 )
!= ( sdtpldt0 @ SY122 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY123 ) )
| ( aElementOf0 @ SY122 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ! [SY124: $i] :
( ~ ( aInteger0 @ SY124 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ W0 ) @ ( sdtpldt0 @ SY124 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ( ( sK14_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK14_W1 @ W0 ) )
& ( isPrime0 @ ( sK14_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) )
= W0 ) ) )
& ! [W0: $i] :
( ( ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( ( ( sdtasdt0 @ W1 @ ( sK13_W3 @ W2 @ W1 @ W0 ) )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( aInteger0 @ W2 ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
!= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ W3 ) )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ~ ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) ) )
& ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
!= W0 ) ) )
| ( aElementOf0 @ W0 @ xS ) )
& ( aSet0 @ xS )
& ( xS = cS2043 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(115,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ xS )
| ( ! [SY116: $i] :
( ~ ( aElementOf0 @ SY116 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK14_W1 @ W0 ) @ ( sK15_SY117 @ SY116 @ W0 ) )
= ( sdtpldt0 @ SY116 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ ( sK15_SY117 @ SY116 @ W0 ) ) ) )
& ! [SY118: $i] :
( ~ ( aElementOf0 @ SY118 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( aInteger0 @ SY118 ) )
& ! [SY119: $i] :
( ~ ( aElementOf0 @ SY119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ W0 ) @ ( sdtpldt0 @ SY119 @ ( smndt0 @ sz00 ) ) ) )
& ! [SY120: $i] :
( ~ ( aElementOf0 @ SY120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY120 @ sz00 @ ( sK14_W1 @ W0 ) ) )
& ! [SY121: $i] :
( ~ ( aInteger0 @ SY121 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY121 @ sz00 @ ( sK14_W1 @ W0 ) )
| ( aElementOf0 @ SY121 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ! [SY122: $i] :
( ~ ( aInteger0 @ SY122 )
| ! [SY123: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ W0 ) @ SY123 )
!= ( sdtpldt0 @ SY122 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY123 ) )
| ( aElementOf0 @ SY122 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ! [SY124: $i] :
( ~ ( aInteger0 @ SY124 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ W0 ) @ ( sdtpldt0 @ SY124 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ( ( sK14_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK14_W1 @ W0 ) )
& ( isPrime0 @ ( sK14_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) )
= W0 ) ) )
& ! [W0: $i] :
( ( ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( ( ( sdtasdt0 @ W1 @ ( sK13_W3 @ W2 @ W1 @ W0 ) )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( aInteger0 @ W2 ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
!= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ W3 ) )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ~ ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) ) )
& ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
!= W0 ) ) )
| ( aElementOf0 @ W0 @ xS ) )
& ( aSet0 @ xS )
& ( xS = cS2043 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(116,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) )
& ! [W0: $i] :
( ( W0 != sz10 )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( W0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK12_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK12_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(117,plain,
( ( isFinite0 @ xS )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(118,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( ! [SY106: $i] :
( ~ ( aElementOf0 @ SY106 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aElementOf0 @ SY106 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [SY107: $i] :
( ~ ( aElementOf0 @ SY107 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK10_W1 @ W0 ) @ ( sK11_SY108 @ SY107 @ W0 ) )
= ( sdtpldt0 @ SY107 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ ( sK11_SY108 @ SY107 @ W0 ) ) ) )
& ! [SY109: $i] :
( ~ ( aElementOf0 @ SY109 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aInteger0 @ SY109 ) )
& ! [SY110: $i] :
( ~ ( aElementOf0 @ SY110 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ W0 ) @ ( sdtpldt0 @ SY110 @ ( smndt0 @ W0 ) ) ) )
& ! [SY111: $i] :
( ~ ( aElementOf0 @ SY111 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY111 @ W0 @ ( sK10_W1 @ W0 ) ) )
& ! [SY112: $i] :
( ~ ( aInteger0 @ SY112 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY112 @ W0 @ ( sK10_W1 @ W0 ) )
| ( aElementOf0 @ SY112 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ! [SY113: $i] :
( ~ ( aInteger0 @ SY113 )
| ! [SY114: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ W0 ) @ SY114 )
!= ( sdtpldt0 @ SY113 @ ( smndt0 @ W0 ) ) )
| ~ ( aInteger0 @ SY114 ) )
| ( aElementOf0 @ SY113 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ! [SY115: $i] :
( ~ ( aInteger0 @ SY115 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ W0 ) @ ( sdtpldt0 @ SY115 @ ( smndt0 @ W0 ) ) )
| ( aElementOf0 @ SY115 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ( ( sK10_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK10_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK9_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK9_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( ! [SY96: $i] :
( ~ ( aElementOf0 @ SY96 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aElementOf0 @ SY96 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [SY97: $i] :
( ~ ( aElementOf0 @ SY97 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK7_W1 @ W0 ) @ ( sK8_SY98 @ SY97 @ W0 ) )
= ( sdtpldt0 @ SY97 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ ( sK8_SY98 @ SY97 @ W0 ) ) ) )
& ! [SY99: $i] :
( ~ ( aElementOf0 @ SY99 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aInteger0 @ SY99 ) )
& ! [SY100: $i] :
( ~ ( aElementOf0 @ SY100 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ W0 ) @ ( sdtpldt0 @ SY100 @ ( smndt0 @ W0 ) ) ) )
& ! [SY101: $i] :
( ~ ( aElementOf0 @ SY101 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY101 @ W0 @ ( sK7_W1 @ W0 ) ) )
& ! [SY102: $i] :
( ~ ( aInteger0 @ SY102 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY102 @ W0 @ ( sK7_W1 @ W0 ) )
| ( aElementOf0 @ SY102 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ! [SY103: $i] :
( ~ ( aInteger0 @ SY103 )
| ! [SY104: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ W0 ) @ SY104 )
!= ( sdtpldt0 @ SY103 @ ( smndt0 @ W0 ) ) )
| ~ ( aInteger0 @ SY104 ) )
| ( aElementOf0 @ SY103 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ! [SY105: $i] :
( ~ ( aInteger0 @ SY105 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ W0 ) @ ( sdtpldt0 @ SY105 @ ( smndt0 @ W0 ) ) )
| ( aElementOf0 @ SY105 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ( ( sK7_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK7_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK6_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK6_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(119,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK5_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK5_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ W0 ) )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ ( sK4_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ( ( sdtasdt0 @ xp @ W1 )
!= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W1 ) )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( xp != sz00 )
& ( aInteger0 @ xp )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(120,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(121,plain,
( ( aInteger0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(122,plain,
( ( aInteger0 @ sz10 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(123,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aInteger0 @ ( smndt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(124,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(125,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(126,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(127,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(128,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(129,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(130,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(131,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(132,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(133,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(134,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(135,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(136,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(137,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(138,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
| ( sdteqdtlpzmzozddtrp0 @ W1 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(139,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W1 @ W3 @ W2 )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W3 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(140,plain,
( ( ! [W0: $i,W1: $i] :
( ! [W2: $i,W3: $i] :
( ( W3 = sz00 )
| ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 ) )
& ! [W2: $i,W3: $i] :
( ( W3 = sz00 )
| ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(141,plain,
( ( ! [W0: $i] :
( ( W0 = sz00 )
| ~ ( aInteger0 @ W0 ) )
| $true )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(142,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) )
| ( ( aDivisorOf0 @ ( sK3_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK3_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ~ ( aDivisorOf0 @ W1 @ W0 )
| ~ ( isPrime0 @ W1 ) )
| ( W0 != sz10 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ~ ( aDivisorOf0 @ W1 @ W0 )
| ~ ( isPrime0 @ W1 ) )
| ( W0
!= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(143,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(144,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| ! [W1: $i] : $true )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(145,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(146,plain,
( ( ! [W0: $i] :
( ( ( aElementOf0 @ ( sK2_W1 @ W0 ) @ W0 )
& ( ~ ( aSubsetOf0 @ ( sK2_W1 @ W0 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ W0 ) ) ) )
| ~ ( aSet0 @ W0 )
| ( isOpen0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(147,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSubsetOf0 @ W0 @ cS1395 )
| ~ ( aSubsetOf0 @ W1 @ cS1395 )
| ~ ( isOpen0 @ W0 )
| ~ ( isOpen0 @ W1 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(148,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSubsetOf0 @ W0 @ cS1395 )
| ~ ( aSubsetOf0 @ W1 @ cS1395 )
| ~ ( isClosed0 @ W0 )
| ~ ( isClosed0 @ W1 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(149,plain,
( ( ! [W0: $i] :
( ( ( aElementOf0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( ~ ( aSubsetOf0 @ ( sK1_W1 @ W0 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ W0 ) ) ) )
| ~ ( aSet0 @ W0 )
| ~ ( isFinite0 @ W0 )
| ( isClosed0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(150,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ cS1395 ) )
& ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(151,plain,
( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
& ! [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W0 ) )
& ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(152,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) )
| ( xS != cS2043 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(153,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SX0 ) @ SX0 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SX0 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SX0 ) ) ) )
| ~ ( aSet0 @ SX0 )
| ~ ( isFinite0 @ SX0 )
| ( isClosed0 @ ( sbsmnsldt0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(154,plain,
( ( ~ ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(155,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
!= cS2076 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(156,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(157,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SX0 ) @ SX0 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SX0 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SX0 ) ) ) )
| ~ ( aSet0 @ SX0 )
| ( isOpen0 @ ( sbsmnsldt0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(158,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(159,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(160,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(161,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX2 ) @ ( sdtasdt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(162,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(163,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(164,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(165,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(166,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(167,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX3 = sz00 )
| ( SX2 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ~ ( aInteger0 @ SX3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ ( sdtasdt0 @ SX2 @ SX3 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX3 = sz00 )
| ( SX2 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ~ ( aInteger0 @ SX3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ ( sdtasdt0 @ SX2 @ SX3 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(168,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(169,plain,
! [SV2: $i] :
( ( ~ ( aInteger0 @ SV2 )
| ( aInteger0 @ ( smndt0 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(170,plain,
! [SV3: $i] :
( ( ! [SY125: $i] :
( ~ ( aInteger0 @ SV3 )
| ~ ( aInteger0 @ SY125 )
| ( aInteger0 @ ( sdtpldt0 @ SV3 @ SY125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(171,plain,
! [SV4: $i] :
( ( ! [SY126: $i] :
( ~ ( aInteger0 @ SV4 )
| ~ ( aInteger0 @ SY126 )
| ( aInteger0 @ ( sdtasdt0 @ SV4 @ SY126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(172,plain,
! [SV5: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ( aInteger0 @ SV5 )
| ~ ( aInteger0 @ SY127 )
| ~ ( aInteger0 @ SY128 )
| ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SY127 @ SY128 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SY127 ) @ SY128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(173,plain,
! [SV6: $i] :
( ( ! [SY129: $i] :
( ~ ( aInteger0 @ SV6 )
| ~ ( aInteger0 @ SY129 )
| ( ( sdtpldt0 @ SV6 @ SY129 )
= ( sdtpldt0 @ SY129 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(174,plain,
! [SV7: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( aInteger0 @ SV7 )
| ~ ( aInteger0 @ SY130 )
| ~ ( aInteger0 @ SY131 )
| ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SY130 @ SY131 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SY130 ) @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(175,plain,
! [SV8: $i] :
( ( ! [SY132: $i] :
( ~ ( aInteger0 @ SV8 )
| ~ ( aInteger0 @ SY132 )
| ( ( sdtasdt0 @ SV8 @ SY132 )
= ( sdtasdt0 @ SY132 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(176,plain,
! [SV9: $i] :
( ( ! [SY133: $i] :
( ~ ( aInteger0 @ SV9 )
| ~ ( aInteger0 @ SY133 )
| ( ( sdtasdt0 @ SV9 @ SY133 )
!= sz00 )
| ( SV9 = sz00 )
| ( SY133 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(177,plain,
! [SV10: $i] :
( ( ! [SY134: $i] :
( ( SY134 = sz00 )
| ~ ( aInteger0 @ SV10 )
| ~ ( aInteger0 @ SY134 )
| ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(178,plain,
! [SV11: $i] :
( ( ! [SY135: $i,SY136: $i] :
( ( SY136 = sz00 )
| ~ ( aInteger0 @ SV11 )
| ~ ( aInteger0 @ SY135 )
| ~ ( aInteger0 @ SY136 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SY135 @ SY136 )
| ( sdteqdtlpzmzozddtrp0 @ SY135 @ SV11 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(179,plain,
! [SV12: $i] :
( ( ! [SY137: $i,SY138: $i,SY139: $i] :
( ( SY138 = sz00 )
| ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SY137 )
| ~ ( aInteger0 @ SY138 )
| ~ ( aInteger0 @ SY139 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SY137 @ SY138 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY137 @ SY139 @ SY138 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SY139 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(180,plain,
( ( ( ! [W0: $i] :
( ( W0 = sz00 )
| ~ ( aInteger0 @ W0 ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(181,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(182,plain,
( ( ( ! [W0: $i] :
~ ( aSet0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] : $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(183,plain,
( ( ( ! [W0: $i] :
~ ( aSet0 @ W0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(184,plain,
! [SV14: $i] :
( ( ! [SY140: $i] :
( ~ ( aSubsetOf0 @ SV14 @ cS1395 )
| ~ ( aSubsetOf0 @ SY140 @ cS1395 )
| ~ ( isOpen0 @ SV14 )
| ~ ( isOpen0 @ SY140 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SY140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(185,plain,
! [SV15: $i] :
( ( ! [SY141: $i] :
( ~ ( aSubsetOf0 @ SV15 @ cS1395 )
| ~ ( aSubsetOf0 @ SY141 @ cS1395 )
| ~ ( isClosed0 @ SV15 )
| ~ ( isClosed0 @ SY141 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(186,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) )
| ( xS != cS2043 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(187,plain,
! [SV16: $i] :
( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) ) )
| ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 )
| ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(188,plain,
( ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(189,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
!= cS2076 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(190,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(191,plain,
! [SV17: $i] :
( ( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) ) )
| ~ ( aSet0 @ SV17 )
| ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(192,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(193,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(194,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(195,plain,
! [SV18: $i] :
( ( ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY142 )
| ~ ( aInteger0 @ SY143 )
| ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SY142 @ SY143 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY142 ) @ ( sdtasdt0 @ SV18 @ SY143 ) ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY144 )
| ~ ( aInteger0 @ SY145 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SY144 ) @ SY145 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY145 ) @ ( sdtasdt0 @ SY144 @ SY145 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(196,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(197,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(198,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(199,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(200,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(201,plain,
! [SV19: $i] :
( ( ! [SY146: $i] :
~ ( ~ ! [SY147: $i,SY148: $i] :
( ( SY148 = sz00 )
| ( SY147 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SY146 )
| ~ ( aInteger0 @ SY147 )
| ~ ( aInteger0 @ SY148 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SY146 @ ( sdtasdt0 @ SY147 @ SY148 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SY146 @ SY147 ) )
| ~ ! [SY149: $i,SY150: $i] :
( ( SY150 = sz00 )
| ( SY149 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SY146 )
| ~ ( aInteger0 @ SY149 )
| ~ ( aInteger0 @ SY150 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SY146 @ ( sdtasdt0 @ SY149 @ SY150 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SY146 @ SY150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(202,plain,
! [SV2: $i] :
( ( ( ~ ( aInteger0 @ SV2 ) )
= $true )
| ( ( aInteger0 @ ( smndt0 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(203,plain,
! [SV20: $i,SV3: $i] :
( ( ~ ( aInteger0 @ SV3 )
| ~ ( aInteger0 @ SV20 )
| ( aInteger0 @ ( sdtpldt0 @ SV3 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(204,plain,
! [SV21: $i,SV4: $i] :
( ( ~ ( aInteger0 @ SV4 )
| ~ ( aInteger0 @ SV21 )
| ( aInteger0 @ ( sdtasdt0 @ SV4 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(205,plain,
! [SV22: $i,SV5: $i] :
( ( ! [SY151: $i] :
( ~ ( aInteger0 @ SV5 )
| ~ ( aInteger0 @ SV22 )
| ~ ( aInteger0 @ SY151 )
| ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SY151 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SY151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(206,plain,
! [SV23: $i,SV6: $i] :
( ( ~ ( aInteger0 @ SV6 )
| ~ ( aInteger0 @ SV23 )
| ( ( sdtpldt0 @ SV6 @ SV23 )
= ( sdtpldt0 @ SV23 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(207,plain,
! [SV24: $i,SV7: $i] :
( ( ! [SY152: $i] :
( ~ ( aInteger0 @ SV7 )
| ~ ( aInteger0 @ SV24 )
| ~ ( aInteger0 @ SY152 )
| ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SY152 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SY152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(208,plain,
! [SV25: $i,SV8: $i] :
( ( ~ ( aInteger0 @ SV8 )
| ~ ( aInteger0 @ SV25 )
| ( ( sdtasdt0 @ SV8 @ SV25 )
= ( sdtasdt0 @ SV25 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(209,plain,
! [SV26: $i,SV9: $i] :
( ( ~ ( aInteger0 @ SV9 )
| ~ ( aInteger0 @ SV26 )
| ( ( sdtasdt0 @ SV9 @ SV26 )
!= sz00 )
| ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(210,plain,
! [SV10: $i,SV27: $i] :
( ( ( SV27 = sz00 )
| ~ ( aInteger0 @ SV10 )
| ~ ( aInteger0 @ SV27 )
| ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(211,plain,
! [SV28: $i,SV11: $i] :
( ( ! [SY153: $i] :
( ( SY153 = sz00 )
| ~ ( aInteger0 @ SV11 )
| ~ ( aInteger0 @ SV28 )
| ~ ( aInteger0 @ SY153 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SY153 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(212,plain,
! [SV29: $i,SV12: $i] :
( ( ! [SY154: $i,SY155: $i] :
( ( SY154 = sz00 )
| ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 )
| ~ ( aInteger0 @ SY154 )
| ~ ( aInteger0 @ SY155 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SY154 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SY155 @ SY154 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SY155 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(213,plain,
! [SV30: $i] :
( ( ( ( SV30 = sz00 )
| ~ ( aInteger0 @ SV30 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(214,plain,
! [SV31: $i] :
( ( ( ~ ( aSet0 @ SV31 ) )
= $true )
| ( ( ! [W1: $i] : $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(215,plain,
! [SV32: $i] :
( ( ( ~ ( aSet0 @ SV32 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(216,plain,
! [SV33: $i,SV14: $i] :
( ( ~ ( aSubsetOf0 @ SV14 @ cS1395 )
| ~ ( aSubsetOf0 @ SV33 @ cS1395 )
| ~ ( isOpen0 @ SV14 )
| ~ ( isOpen0 @ SV33 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(217,plain,
! [SV34: $i,SV15: $i] :
( ( ~ ( aSubsetOf0 @ SV15 @ cS1395 )
| ~ ( aSubsetOf0 @ SV34 @ cS1395 )
| ~ ( isClosed0 @ SV15 )
| ~ ( isClosed0 @ SV34 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(218,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(219,plain,
( ( ( xS != cS2043 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(220,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) ) )
| ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(221,plain,
( ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(222,plain,
( ( ~ ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(223,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(224,plain,
( ( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
!= cS2076 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(225,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(226,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(227,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) ) )
| ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(228,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(229,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(230,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(231,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(232,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(233,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(234,plain,
! [SV18: $i] :
( ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY142 )
| ~ ( aInteger0 @ SY143 )
| ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SY142 @ SY143 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY142 ) @ ( sdtasdt0 @ SV18 @ SY143 ) ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY144 )
| ~ ( aInteger0 @ SY145 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SY144 ) @ SY145 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY145 ) @ ( sdtasdt0 @ SY144 @ SY145 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(235,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(236,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(237,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(238,plain,
( ( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(239,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(240,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(241,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(242,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(243,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(244,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(245,plain,
! [SV35: $i,SV19: $i] :
( ( ~ ( ~ ! [SY156: $i,SY157: $i] :
( ( SY157 = sz00 )
| ( SY156 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY156 )
| ~ ( aInteger0 @ SY157 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY156 @ SY157 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY156 ) )
| ~ ! [SY158: $i,SY159: $i] :
( ( SY159 = sz00 )
| ( SY158 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY158 )
| ~ ( aInteger0 @ SY159 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY158 @ SY159 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(246,plain,
! [SV2: $i] :
( ( ( aInteger0 @ SV2 )
= $false )
| ( ( aInteger0 @ ( smndt0 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(247,plain,
! [SV20: $i,SV3: $i] :
( ( ( ~ ( aInteger0 @ SV3 )
| ~ ( aInteger0 @ SV20 ) )
= $true )
| ( ( aInteger0 @ ( sdtpldt0 @ SV3 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(248,plain,
! [SV21: $i,SV4: $i] :
( ( ( ~ ( aInteger0 @ SV4 )
| ~ ( aInteger0 @ SV21 ) )
= $true )
| ( ( aInteger0 @ ( sdtasdt0 @ SV4 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(249,plain,
! [SV36: $i,SV22: $i,SV5: $i] :
( ( ~ ( aInteger0 @ SV5 )
| ~ ( aInteger0 @ SV22 )
| ~ ( aInteger0 @ SV36 )
| ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(250,plain,
! [SV23: $i,SV6: $i] :
( ( ( ~ ( aInteger0 @ SV6 )
| ~ ( aInteger0 @ SV23 ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV23 )
= ( sdtpldt0 @ SV23 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(251,plain,
! [SV37: $i,SV24: $i,SV7: $i] :
( ( ~ ( aInteger0 @ SV7 )
| ~ ( aInteger0 @ SV24 )
| ~ ( aInteger0 @ SV37 )
| ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(252,plain,
! [SV25: $i,SV8: $i] :
( ( ( ~ ( aInteger0 @ SV8 )
| ~ ( aInteger0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV8 @ SV25 )
= ( sdtasdt0 @ SV25 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(253,plain,
! [SV26: $i,SV9: $i] :
( ( ( ~ ( aInteger0 @ SV9 )
| ~ ( aInteger0 @ SV26 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV9 @ SV26 )
!= sz00 )
| ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(254,plain,
! [SV10: $i,SV27: $i] :
( ( ( ( SV27 = sz00 )
| ~ ( aInteger0 @ SV10 )
| ~ ( aInteger0 @ SV27 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(255,plain,
! [SV28: $i,SV11: $i,SV38: $i] :
( ( ( SV38 = sz00 )
| ~ ( aInteger0 @ SV11 )
| ~ ( aInteger0 @ SV28 )
| ~ ( aInteger0 @ SV38 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(256,plain,
! [SV29: $i,SV12: $i,SV39: $i] :
( ( ! [SY160: $i] :
( ( SV39 = sz00 )
| ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 )
| ~ ( aInteger0 @ SV39 )
| ~ ( aInteger0 @ SY160 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SY160 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SY160 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(257,plain,
! [SV30: $i] :
( ( ( SV30 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV30 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(258,plain,
! [SV31: $i] :
( ( ( aSet0 @ SV31 )
= $false )
| ( ( ! [W1: $i] : $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(259,plain,
! [SV32: $i] :
( ( ( aSet0 @ SV32 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(260,plain,
! [SV33: $i,SV14: $i] :
( ( ( ~ ( aSubsetOf0 @ SV14 @ cS1395 )
| ~ ( aSubsetOf0 @ SV33 @ cS1395 )
| ~ ( isOpen0 @ SV14 )
| ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(261,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( aSubsetOf0 @ SV15 @ cS1395 )
| ~ ( aSubsetOf0 @ SV34 @ cS1395 )
| ~ ( isClosed0 @ SV15 )
| ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(262,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(263,plain,
( ( xS = cS2043 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(264,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(265,plain,
( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(266,plain,
( ( ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(267,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(268,plain,
( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(269,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(270,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(271,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(272,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(273,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(274,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(275,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(276,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(277,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(278,plain,
! [SV18: $i] :
( ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY142 )
| ~ ( aInteger0 @ SY143 )
| ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SY142 @ SY143 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY142 ) @ ( sdtasdt0 @ SV18 @ SY143 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(279,plain,
! [SV18: $i] :
( ( ~ ! [SY144: $i,SY145: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY144 )
| ~ ( aInteger0 @ SY145 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SY144 ) @ SY145 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY145 ) @ ( sdtasdt0 @ SY144 @ SY145 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(280,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(281,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(282,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(283,plain,
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(284,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(285,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(286,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(287,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(288,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(289,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(290,plain,
! [SV35: $i,SV19: $i] :
( ( ~ ! [SY156: $i,SY157: $i] :
( ( SY157 = sz00 )
| ( SY156 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY156 )
| ~ ( aInteger0 @ SY157 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY156 @ SY157 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY156 ) )
| ~ ! [SY158: $i,SY159: $i] :
( ( SY159 = sz00 )
| ( SY158 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY158 )
| ~ ( aInteger0 @ SY159 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY158 @ SY159 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY159 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(291,plain,
! [SV20: $i,SV3: $i] :
( ( ( ~ ( aInteger0 @ SV3 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV20 ) )
= $true )
| ( ( aInteger0 @ ( sdtpldt0 @ SV3 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(292,plain,
! [SV21: $i,SV4: $i] :
( ( ( ~ ( aInteger0 @ SV4 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV21 ) )
= $true )
| ( ( aInteger0 @ ( sdtasdt0 @ SV4 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(293,plain,
! [SV36: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( aInteger0 @ SV5 )
| ~ ( aInteger0 @ SV22 )
| ~ ( aInteger0 @ SV36 ) )
= $true )
| ( ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(294,plain,
! [SV23: $i,SV6: $i] :
( ( ( ~ ( aInteger0 @ SV6 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV23 ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV23 )
= ( sdtpldt0 @ SV23 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(295,plain,
! [SV37: $i,SV24: $i,SV7: $i] :
( ( ( ~ ( aInteger0 @ SV7 )
| ~ ( aInteger0 @ SV24 )
| ~ ( aInteger0 @ SV37 ) )
= $true )
| ( ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(296,plain,
! [SV25: $i,SV8: $i] :
( ( ( ~ ( aInteger0 @ SV8 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV8 @ SV25 )
= ( sdtasdt0 @ SV25 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(297,plain,
! [SV26: $i,SV9: $i] :
( ( ( ~ ( aInteger0 @ SV9 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV26 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV9 @ SV26 )
!= sz00 )
| ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(298,plain,
! [SV10: $i,SV27: $i] :
( ( ( SV27 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV10 )
| ~ ( aInteger0 @ SV27 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(299,plain,
! [SV28: $i,SV11: $i,SV38: $i] :
( ( ( ( SV38 = sz00 )
| ~ ( aInteger0 @ SV11 )
| ~ ( aInteger0 @ SV28 )
| ~ ( aInteger0 @ SV38 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(300,plain,
! [SV40: $i,SV29: $i,SV12: $i,SV39: $i] :
( ( ( SV39 = sz00 )
| ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 )
| ~ ( aInteger0 @ SV39 )
| ~ ( aInteger0 @ SV40 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(301,plain,
! [SV30: $i] :
( ( ( aInteger0 @ SV30 )
= $false )
| ( ( SV30 = sz00 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(302,plain,
! [SV31: $i] :
( ( $true = $true )
| ( ( aSet0 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(303,plain,
! [SV33: $i,SV14: $i] :
( ( ( ~ ( aSubsetOf0 @ SV14 @ cS1395 )
| ~ ( aSubsetOf0 @ SV33 @ cS1395 )
| ~ ( isOpen0 @ SV14 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(304,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( aSubsetOf0 @ SV15 @ cS1395 )
| ~ ( aSubsetOf0 @ SV34 @ cS1395 )
| ~ ( isClosed0 @ SV15 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(305,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(306,plain,
! [SV16: $i] :
( ( ( ~ ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(307,plain,
( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(308,plain,
( ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(309,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(310,plain,
! [SV42: $i] :
( ( ~ ( aInteger0 @ SV42 )
| ( ( sdtasdt0 @ SV42 @ sz10 )
= SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(311,plain,
! [SV43: $i] :
( ( ~ ( aInteger0 @ SV43 )
| ( SV43
= ( sdtasdt0 @ sz10 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(312,plain,
! [SV17: $i] :
( ( ( ~ ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(313,plain,
! [SV44: $i] :
( ( ~ ( aInteger0 @ SV44 )
| ( ( sdtasdt0 @ SV44 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(314,plain,
! [SV45: $i] :
( ( ~ ( aInteger0 @ SV45 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(315,plain,
! [SV46: $i] :
( ( ~ ( aInteger0 @ SV46 )
| ( ( sdtpldt0 @ SV46 @ sz00 )
= SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(316,plain,
! [SV47: $i] :
( ( ~ ( aInteger0 @ SV47 )
| ( SV47
= ( sdtpldt0 @ sz00 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(317,plain,
! [SV48: $i] :
( ( ~ ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(318,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(319,plain,
! [SV18: $i] :
( ( ! [SY142: $i,SY143: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY142 )
| ~ ( aInteger0 @ SY143 )
| ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SY142 @ SY143 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY142 ) @ ( sdtasdt0 @ SV18 @ SY143 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(320,plain,
! [SV18: $i] :
( ( ! [SY144: $i,SY145: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SY144 )
| ~ ( aInteger0 @ SY145 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SY144 ) @ SY145 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY145 ) @ ( sdtasdt0 @ SY144 @ SY145 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(321,plain,
! [SV49: $i] :
( ( ~ ( aInteger0 @ SV49 )
| ( ( sdtpldt0 @ SV49 @ ( smndt0 @ SV49 ) )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(322,plain,
! [SV50: $i] :
( ( ~ ( aInteger0 @ SV50 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SV50 ) @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(323,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(324,plain,
! [SV51: $i] :
( ( ~ ( aInteger0 @ SV51 )
| ( SV51 = sz10 )
| ( SV51
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(325,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(326,plain,
! [SV52: $i] :
( ( ! [SY170: $i] :
( ( SY170 = sz00 )
| ~ ( aInteger0 @ SV52 )
| ~ ( aInteger0 @ SY170 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SY170 ) @ cS1395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(327,plain,
! [SV53: $i] :
( ( ! [SY171: $i] :
( ( SY171 = sz00 )
| ~ ( aInteger0 @ SV53 )
| ~ ( aInteger0 @ SY171 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SY171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(328,plain,
! [SV54: $i] :
( ( ~ ( aInteger0 @ SV54 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV54 )
= ( smndt0 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(329,plain,
! [SV55: $i] :
( ( ~ ( aInteger0 @ SV55 )
| ( ( smndt0 @ SV55 )
= ( sdtasdt0 @ SV55 @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV35: $i,SV19: $i] :
( ( ~ ! [SY156: $i,SY157: $i] :
( ( SY157 = sz00 )
| ( SY156 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY156 )
| ~ ( aInteger0 @ SY157 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY156 @ SY157 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(331,plain,
! [SV35: $i,SV19: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ( SY159 = sz00 )
| ( SY158 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY158 )
| ~ ( aInteger0 @ SY159 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY158 @ SY159 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY159 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(332,plain,
! [SV20: $i,SV3: $i] :
( ( ( aInteger0 @ SV3 )
= $false )
| ( ( ~ ( aInteger0 @ SV20 ) )
= $true )
| ( ( aInteger0 @ ( sdtpldt0 @ SV3 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(333,plain,
! [SV21: $i,SV4: $i] :
( ( ( aInteger0 @ SV4 )
= $false )
| ( ( ~ ( aInteger0 @ SV21 ) )
= $true )
| ( ( aInteger0 @ ( sdtasdt0 @ SV4 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(334,plain,
! [SV36: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( aInteger0 @ SV5 )
| ~ ( aInteger0 @ SV22 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV36 ) )
= $true )
| ( ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(335,plain,
! [SV23: $i,SV6: $i] :
( ( ( aInteger0 @ SV6 )
= $false )
| ( ( ~ ( aInteger0 @ SV23 ) )
= $true )
| ( ( ( sdtpldt0 @ SV6 @ SV23 )
= ( sdtpldt0 @ SV23 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(336,plain,
! [SV37: $i,SV24: $i,SV7: $i] :
( ( ( ~ ( aInteger0 @ SV7 )
| ~ ( aInteger0 @ SV24 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV37 ) )
= $true )
| ( ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(337,plain,
! [SV25: $i,SV8: $i] :
( ( ( aInteger0 @ SV8 )
= $false )
| ( ( ~ ( aInteger0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV8 @ SV25 )
= ( sdtasdt0 @ SV25 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(338,plain,
! [SV26: $i,SV9: $i] :
( ( ( aInteger0 @ SV9 )
= $false )
| ( ( ~ ( aInteger0 @ SV26 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV9 @ SV26 )
!= sz00 )
| ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(339,plain,
! [SV27: $i,SV10: $i] :
( ( ( ~ ( aInteger0 @ SV10 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV27 ) )
= $true )
| ( ( SV27 = sz00 )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(340,plain,
! [SV28: $i,SV11: $i,SV38: $i] :
( ( ( SV38 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV11 )
| ~ ( aInteger0 @ SV28 )
| ~ ( aInteger0 @ SV38 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(341,plain,
! [SV40: $i,SV29: $i,SV12: $i,SV39: $i] :
( ( ( ( SV39 = sz00 )
| ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 )
| ~ ( aInteger0 @ SV39 )
| ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(342,plain,
! [SV33: $i,SV14: $i] :
( ( ( ~ ( aSubsetOf0 @ SV14 @ cS1395 )
| ~ ( aSubsetOf0 @ SV33 @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV14 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(343,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( aSubsetOf0 @ SV15 @ cS1395 )
| ~ ( aSubsetOf0 @ SV34 @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV15 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(344,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(345,plain,
( ( ~ ( aSet0 @ xS ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(346,plain,
! [SV16: $i] :
( ( ( ~ ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 ) )
= $false )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(347,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(348,plain,
( ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(349,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(350,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(351,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(352,plain,
! [SV42: $i] :
( ( ( ~ ( aInteger0 @ SV42 ) )
= $true )
| ( ( ( sdtasdt0 @ SV42 @ sz10 )
= SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(353,plain,
! [SV43: $i] :
( ( ( ~ ( aInteger0 @ SV43 ) )
= $true )
| ( ( SV43
= ( sdtasdt0 @ sz10 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(354,plain,
! [SV17: $i] :
( ( ( ~ ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 ) )
= $false )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(355,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(356,plain,
! [SV44: $i] :
( ( ( ~ ( aInteger0 @ SV44 ) )
= $true )
| ( ( ( sdtasdt0 @ SV44 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(357,plain,
! [SV45: $i] :
( ( ( ~ ( aInteger0 @ SV45 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(358,plain,
! [SV46: $i] :
( ( ( ~ ( aInteger0 @ SV46 ) )
= $true )
| ( ( ( sdtpldt0 @ SV46 @ sz00 )
= SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(359,plain,
! [SV47: $i] :
( ( ( ~ ( aInteger0 @ SV47 ) )
= $true )
| ( ( SV47
= ( sdtpldt0 @ sz00 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(360,plain,
! [SV48: $i] :
( ( ( ~ ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(361,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(362,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(363,plain,
! [SV56: $i,SV18: $i] :
( ( ! [SY172: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV56 )
| ~ ( aInteger0 @ SY172 )
| ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SY172 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SY172 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(364,plain,
! [SV57: $i,SV18: $i] :
( ( ! [SY173: $i] :
( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV57 )
| ~ ( aInteger0 @ SY173 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SY173 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SY173 ) @ ( sdtasdt0 @ SV57 @ SY173 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(365,plain,
! [SV49: $i] :
( ( ( ~ ( aInteger0 @ SV49 ) )
= $true )
| ( ( ( sdtpldt0 @ SV49 @ ( smndt0 @ SV49 ) )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(366,plain,
! [SV50: $i] :
( ( ( ~ ( aInteger0 @ SV50 ) )
= $true )
| ( ( sz00
= ( sdtpldt0 @ ( smndt0 @ SV50 ) @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(367,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(368,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(369,plain,
! [SV51: $i] :
( ( ( ~ ( aInteger0 @ SV51 ) )
= $true )
| ( ( ( SV51 = sz10 )
| ( SV51
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(370,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(371,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(372,plain,
! [SV52: $i,SV58: $i] :
( ( ( SV58 = sz00 )
| ~ ( aInteger0 @ SV52 )
| ~ ( aInteger0 @ SV58 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SV58 ) @ cS1395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(373,plain,
! [SV53: $i,SV59: $i] :
( ( ( SV59 = sz00 )
| ~ ( aInteger0 @ SV53 )
| ~ ( aInteger0 @ SV59 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(374,plain,
! [SV54: $i] :
( ( ( ~ ( aInteger0 @ SV54 ) )
= $true )
| ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV54 )
= ( smndt0 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(375,plain,
! [SV55: $i] :
( ( ( ~ ( aInteger0 @ SV55 ) )
= $true )
| ( ( ( smndt0 @ SV55 )
= ( sdtasdt0 @ SV55 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(376,plain,
! [SV35: $i,SV19: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ( SY157 = sz00 )
| ( SY156 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY156 )
| ~ ( aInteger0 @ SY157 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY156 @ SY157 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY156 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(377,plain,
! [SV35: $i,SV19: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ( SY159 = sz00 )
| ( SY158 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SY158 )
| ~ ( aInteger0 @ SY159 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SY158 @ SY159 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY159 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(378,plain,
! [SV3: $i,SV20: $i] :
( ( ( aInteger0 @ SV20 )
= $false )
| ( ( aInteger0 @ SV3 )
= $false )
| ( ( aInteger0 @ ( sdtpldt0 @ SV3 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(379,plain,
! [SV4: $i,SV21: $i] :
( ( ( aInteger0 @ SV21 )
= $false )
| ( ( aInteger0 @ SV4 )
= $false )
| ( ( aInteger0 @ ( sdtasdt0 @ SV4 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(380,plain,
! [SV36: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( aInteger0 @ SV5 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV22 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV36 ) )
= $true )
| ( ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(381,plain,
! [SV6: $i,SV23: $i] :
( ( ( aInteger0 @ SV23 )
= $false )
| ( ( aInteger0 @ SV6 )
= $false )
| ( ( ( sdtpldt0 @ SV6 @ SV23 )
= ( sdtpldt0 @ SV23 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(382,plain,
! [SV37: $i,SV24: $i,SV7: $i] :
( ( ( ~ ( aInteger0 @ SV7 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV24 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV37 ) )
= $true )
| ( ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(383,plain,
! [SV8: $i,SV25: $i] :
( ( ( aInteger0 @ SV25 )
= $false )
| ( ( aInteger0 @ SV8 )
= $false )
| ( ( ( sdtasdt0 @ SV8 @ SV25 )
= ( sdtasdt0 @ SV25 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(384,plain,
! [SV9: $i,SV26: $i] :
( ( ( aInteger0 @ SV26 )
= $false )
| ( ( aInteger0 @ SV9 )
= $false )
| ( ( ( ( sdtasdt0 @ SV9 @ SV26 )
!= sz00 )
| ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(385,plain,
! [SV27: $i,SV10: $i] :
( ( ( aInteger0 @ SV10 )
= $false )
| ( ( ~ ( aInteger0 @ SV27 ) )
= $true )
| ( ( SV27 = sz00 )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(386,plain,
! [SV38: $i,SV28: $i,SV11: $i] :
( ( ( ~ ( aInteger0 @ SV11 )
| ~ ( aInteger0 @ SV28 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV38 ) )
= $true )
| ( ( SV38 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(387,plain,
! [SV40: $i,SV29: $i,SV12: $i,SV39: $i] :
( ( ( ( SV39 = sz00 )
| ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 )
| ~ ( aInteger0 @ SV39 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(388,plain,
! [SV33: $i,SV14: $i] :
( ( ( ~ ( aSubsetOf0 @ SV14 @ cS1395 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV33 @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV14 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(389,plain,
! [SV34: $i,SV15: $i] :
( ( ( ~ ( aSubsetOf0 @ SV15 @ cS1395 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV34 @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV15 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(390,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(391,plain,
( ( aSet0 @ xS )
= $true ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(392,plain,
! [SV16: $i] :
( ( ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(393,plain,
! [SV16: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(394,plain,
( ( ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(395,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(396,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(397,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(398,plain,
! [SV42: $i] :
( ( ( aInteger0 @ SV42 )
= $false )
| ( ( ( sdtasdt0 @ SV42 @ sz10 )
= SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(399,plain,
! [SV43: $i] :
( ( ( aInteger0 @ SV43 )
= $false )
| ( ( SV43
= ( sdtasdt0 @ sz10 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(400,plain,
! [SV17: $i] :
( ( ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 )
= $true )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(401,plain,
! [SV17: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(402,plain,
! [SV44: $i] :
( ( ( aInteger0 @ SV44 )
= $false )
| ( ( ( sdtasdt0 @ SV44 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(403,plain,
! [SV45: $i] :
( ( ( aInteger0 @ SV45 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(404,plain,
! [SV46: $i] :
( ( ( aInteger0 @ SV46 )
= $false )
| ( ( ( sdtpldt0 @ SV46 @ sz00 )
= SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(405,plain,
! [SV47: $i] :
( ( ( aInteger0 @ SV47 )
= $false )
| ( ( SV47
= ( sdtpldt0 @ sz00 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(406,plain,
! [SV48: $i] :
( ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(407,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(408,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(409,plain,
! [SV60: $i,SV56: $i,SV18: $i] :
( ( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV56 )
| ~ ( aInteger0 @ SV60 )
| ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(410,plain,
! [SV61: $i,SV57: $i,SV18: $i] :
( ( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV57 )
| ~ ( aInteger0 @ SV61 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(411,plain,
! [SV49: $i] :
( ( ( aInteger0 @ SV49 )
= $false )
| ( ( ( sdtpldt0 @ SV49 @ ( smndt0 @ SV49 ) )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(412,plain,
! [SV50: $i] :
( ( ( aInteger0 @ SV50 )
= $false )
| ( ( sz00
= ( sdtpldt0 @ ( smndt0 @ SV50 ) @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(413,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(414,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(415,plain,
! [SV51: $i] :
( ( ( aInteger0 @ SV51 )
= $false )
| ( ( ( SV51 = sz10 )
| ( SV51
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(416,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(417,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(418,plain,
! [SV52: $i,SV58: $i] :
( ( ( ( SV58 = sz00 )
| ~ ( aInteger0 @ SV52 )
| ~ ( aInteger0 @ SV58 ) )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SV58 ) @ cS1395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(419,plain,
! [SV53: $i,SV59: $i] :
( ( ( ( SV59 = sz00 )
| ~ ( aInteger0 @ SV53 )
| ~ ( aInteger0 @ SV59 ) )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(420,plain,
! [SV54: $i] :
( ( ( aInteger0 @ SV54 )
= $false )
| ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV54 )
= ( smndt0 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(421,plain,
! [SV55: $i] :
( ( ( aInteger0 @ SV55 )
= $false )
| ( ( ( smndt0 @ SV55 )
= ( sdtasdt0 @ SV55 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(422,plain,
! [SV35: $i,SV19: $i,SV62: $i] :
( ( ! [SY174: $i] :
( ( SY174 = sz00 )
| ( SV62 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV62 )
| ~ ( aInteger0 @ SY174 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SY174 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(423,plain,
! [SV35: $i,SV19: $i,SV63: $i] :
( ( ! [SY175: $i] :
( ( SY175 = sz00 )
| ( SV63 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV63 )
| ~ ( aInteger0 @ SY175 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SY175 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(424,plain,
! [SV36: $i,SV22: $i,SV5: $i] :
( ( ( aInteger0 @ SV5 )
= $false )
| ( ( ~ ( aInteger0 @ SV22 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV36 ) )
= $true )
| ( ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(425,plain,
! [SV37: $i,SV24: $i,SV7: $i] :
( ( ( aInteger0 @ SV7 )
= $false )
| ( ( ~ ( aInteger0 @ SV24 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV37 ) )
= $true )
| ( ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(426,plain,
! [SV26: $i,SV9: $i] :
( ( ( ( ( sdtasdt0 @ SV9 @ SV26 )
!= sz00 ) )
= $true )
| ( ( ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true )
| ( ( aInteger0 @ SV9 )
= $false )
| ( ( aInteger0 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(427,plain,
! [SV10: $i,SV27: $i] :
( ( ( aInteger0 @ SV27 )
= $false )
| ( ( aInteger0 @ SV10 )
= $false )
| ( ( SV27 = sz00 )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV10 @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(428,plain,
! [SV38: $i,SV28: $i,SV11: $i] :
( ( ( ~ ( aInteger0 @ SV11 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV28 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV38 ) )
= $true )
| ( ( SV38 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(429,plain,
! [SV40: $i,SV29: $i,SV12: $i,SV39: $i] :
( ( ( SV39 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 )
| ~ ( aInteger0 @ SV39 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(430,plain,
! [SV33: $i,SV14: $i] :
( ( ( aSubsetOf0 @ SV14 @ cS1395 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV33 @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV14 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(431,plain,
! [SV34: $i,SV15: $i] :
( ( ( aSubsetOf0 @ SV15 @ cS1395 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV34 @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV15 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(432,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(433,plain,
! [SV16: $i] :
( ( ( ~ ( aSet0 @ SV16 ) )
= $true )
| ( ( ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(434,plain,
! [SV16: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(435,plain,
( ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ xp ) @ sz10 @ xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(436,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(437,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(438,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(439,plain,
! [SV17: $i] :
( ( ( aSet0 @ SV17 )
= $false )
| ( ( aElementOf0 @ ( sK2_W1 @ SV17 ) @ SV17 )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(440,plain,
! [SV17: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(441,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(442,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(443,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(444,plain,
! [SV60: $i,SV56: $i,SV18: $i] :
( ( ( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV56 )
| ~ ( aInteger0 @ SV60 ) )
= $true )
| ( ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(445,plain,
! [SV61: $i,SV57: $i,SV18: $i] :
( ( ( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV57 )
| ~ ( aInteger0 @ SV61 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(446,plain,
! [SV64: $i] :
( ( ~ ( aElementOf0 @ SV64 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SV64 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(447,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(448,plain,
! [SV51: $i] :
( ( ( ( SV51 = sz10 )
| ( SV51
= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) ) )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(449,plain,
! [SV65: $i] :
( ( ~ ( aInteger0 @ SV65 )
| ! [SY176: $i] :
( ~ ( aDivisorOf0 @ SY176 @ SV65 )
| ~ ( isPrime0 @ SY176 ) )
| ( SV65 != sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(450,plain,
! [SV66: $i] :
( ( ~ ( aInteger0 @ SV66 )
| ! [SY177: $i] :
( ~ ( aDivisorOf0 @ SY177 @ SV66 )
| ~ ( isPrime0 @ SY177 ) )
| ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(451,plain,
! [SV52: $i,SV58: $i] :
( ( ( SV58 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV52 )
| ~ ( aInteger0 @ SV58 ) )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SV58 ) @ cS1395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(452,plain,
! [SV53: $i,SV59: $i] :
( ( ( SV59 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV53 )
| ~ ( aInteger0 @ SV59 ) )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(453,plain,
! [SV35: $i,SV19: $i,SV62: $i,SV67: $i] :
( ( ( SV67 = sz00 )
| ( SV62 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV62 )
| ~ ( aInteger0 @ SV67 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(454,plain,
! [SV35: $i,SV19: $i,SV63: $i,SV68: $i] :
( ( ( SV68 = sz00 )
| ( SV63 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV63 )
| ~ ( aInteger0 @ SV68 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(455,plain,
! [SV36: $i,SV5: $i,SV22: $i] :
( ( ( aInteger0 @ SV22 )
= $false )
| ( ( aInteger0 @ SV5 )
= $false )
| ( ( ~ ( aInteger0 @ SV36 ) )
= $true )
| ( ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(456,plain,
! [SV37: $i,SV7: $i,SV24: $i] :
( ( ( aInteger0 @ SV24 )
= $false )
| ( ( aInteger0 @ SV7 )
= $false )
| ( ( ~ ( aInteger0 @ SV37 ) )
= $true )
| ( ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(457,plain,
! [SV26: $i,SV9: $i] :
( ( ( ( sdtasdt0 @ SV9 @ SV26 )
= sz00 )
= $false )
| ( ( ( SV9 = sz00 )
| ( SV26 = sz00 ) )
= $true )
| ( ( aInteger0 @ SV9 )
= $false )
| ( ( aInteger0 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(458,plain,
! [SV38: $i,SV28: $i,SV11: $i] :
( ( ( aInteger0 @ SV11 )
= $false )
| ( ( ~ ( aInteger0 @ SV28 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV38 ) )
= $true )
| ( ( SV38 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(459,plain,
! [SV40: $i,SV39: $i,SV29: $i,SV12: $i] :
( ( ( ~ ( aInteger0 @ SV12 )
| ~ ( aInteger0 @ SV29 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV39 ) )
= $true )
| ( ( SV39 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(460,plain,
! [SV14: $i,SV33: $i] :
( ( ( aSubsetOf0 @ SV33 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV14 @ cS1395 )
= $false )
| ( ( ~ ( isOpen0 @ SV14 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(461,plain,
! [SV15: $i,SV34: $i] :
( ( ( aSubsetOf0 @ SV34 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV15 @ cS1395 )
= $false )
| ( ( ~ ( isClosed0 @ SV15 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(462,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(463,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(464,plain,
! [SV16: $i] :
( ( ( aSet0 @ SV16 )
= $false )
| ( ( ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(465,plain,
! [SV16: $i] :
( ( ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
= $false )
| ( ( ~ ( isClosed0 @ ( sK1_W1 @ SV16 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(466,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(467,plain,
( ( ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(468,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(469,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(470,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(471,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(472,plain,
! [SV17: $i] :
( ( ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
= $false )
| ( ( ~ ( isOpen0 @ ( sK2_W1 @ SV17 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(473,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(474,plain,
! [SV48: $i] :
( ( ( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(475,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(476,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(477,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(478,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(479,plain,
! [SV60: $i,SV56: $i,SV18: $i] :
( ( ( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV56 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV60 ) )
= $true )
| ( ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(480,plain,
! [SV61: $i,SV57: $i,SV18: $i] :
( ( ( ~ ( aInteger0 @ SV18 )
| ~ ( aInteger0 @ SV57 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV61 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(481,plain,
! [SV64: $i] :
( ( ( ~ ( aElementOf0 @ SV64 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( aElementOf0 @ SV64 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(482,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(483,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(484,plain,
! [SV51: $i] :
( ( ( SV51 = sz10 )
= $true )
| ( ( SV51
= ( smndt0 @ sz10 ) )
= $true )
| ( ( ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) ) )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(485,plain,
! [SV65: $i] :
( ( ( ~ ( aInteger0 @ SV65 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ( aDivisorOf0 @ SY176 @ SV65 )
| ~ ( isPrime0 @ SY176 ) )
| ( SV65 != sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(486,plain,
! [SV66: $i] :
( ( ( ~ ( aInteger0 @ SV66 ) )
= $true )
| ( ( ! [SY177: $i] :
( ~ ( aDivisorOf0 @ SY177 @ SV66 )
| ~ ( isPrime0 @ SY177 ) )
| ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(487,plain,
! [SV58: $i,SV52: $i] :
( ( ( ~ ( aInteger0 @ SV52 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV58 ) )
= $true )
| ( ( SV58 = sz00 )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SV58 ) @ cS1395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(488,plain,
! [SV59: $i,SV53: $i] :
( ( ( ~ ( aInteger0 @ SV53 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV59 ) )
= $true )
| ( ( SV59 = sz00 )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(489,plain,
! [SV35: $i,SV19: $i,SV62: $i,SV67: $i] :
( ( ( ( SV67 = sz00 )
| ( SV62 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV62 )
| ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(490,plain,
! [SV35: $i,SV19: $i,SV63: $i,SV68: $i] :
( ( ( ( SV68 = sz00 )
| ( SV63 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV63 )
| ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(491,plain,
! [SV22: $i,SV5: $i,SV36: $i] :
( ( ( aInteger0 @ SV36 )
= $false )
| ( ( aInteger0 @ SV5 )
= $false )
| ( ( aInteger0 @ SV22 )
= $false )
| ( ( ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV22 @ SV36 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV22 ) @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(492,plain,
! [SV24: $i,SV7: $i,SV37: $i] :
( ( ( aInteger0 @ SV37 )
= $false )
| ( ( aInteger0 @ SV7 )
= $false )
| ( ( aInteger0 @ SV24 )
= $false )
| ( ( ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV24 @ SV37 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV24 ) @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(493,plain,
! [SV26: $i,SV9: $i] :
( ( ( SV9 = sz00 )
= $true )
| ( ( SV26 = sz00 )
= $true )
| ( ( ( sdtasdt0 @ SV9 @ SV26 )
= sz00 )
= $false )
| ( ( aInteger0 @ SV9 )
= $false )
| ( ( aInteger0 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(494,plain,
! [SV38: $i,SV11: $i,SV28: $i] :
( ( ( aInteger0 @ SV28 )
= $false )
| ( ( aInteger0 @ SV11 )
= $false )
| ( ( ~ ( aInteger0 @ SV38 ) )
= $true )
| ( ( SV38 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(495,plain,
! [SV40: $i,SV39: $i,SV29: $i,SV12: $i] :
( ( ( ~ ( aInteger0 @ SV12 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV29 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV39 ) )
= $true )
| ( ( SV39 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(496,plain,
! [SV33: $i,SV14: $i] :
( ( ( isOpen0 @ SV14 )
= $false )
| ( ( aSubsetOf0 @ SV14 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV33 @ cS1395 )
= $false )
| ( ( ~ ( isOpen0 @ SV33 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(497,plain,
! [SV34: $i,SV15: $i] :
( ( ( isClosed0 @ SV15 )
= $false )
| ( ( aSubsetOf0 @ SV15 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV34 @ cS1395 )
= $false )
| ( ( ~ ( isClosed0 @ SV34 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(498,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(499,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(500,plain,
! [SV16: $i] :
( ( ( isFinite0 @ SV16 )
= $false )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( aElementOf0 @ ( sK1_W1 @ SV16 ) @ SV16 )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(501,plain,
! [SV16: $i] :
( ( ( isClosed0 @ ( sK1_W1 @ SV16 ) )
= $false )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
= $false )
| ( ( ~ ( aSet0 @ SV16 )
| ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(502,plain,
( ( ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(503,plain,
( ( ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(504,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(505,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(506,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(507,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(508,plain,
! [SV17: $i] :
( ( ( isOpen0 @ ( sK2_W1 @ SV17 ) )
= $false )
| ( ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
= $false )
| ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(509,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(510,plain,
! [SV48: $i] :
( ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(511,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(512,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(513,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(514,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(515,plain,
! [SV60: $i,SV56: $i,SV18: $i] :
( ( ( ~ ( aInteger0 @ SV18 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV56 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV60 ) )
= $true )
| ( ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(516,plain,
! [SV61: $i,SV57: $i,SV18: $i] :
( ( ( ~ ( aInteger0 @ SV18 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV57 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV61 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(517,plain,
! [SV64: $i] :
( ( ( aElementOf0 @ SV64 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( aElementOf0 @ SV64 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(518,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(519,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(520,plain,
! [SV51: $i] :
( ( ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) )
= $false )
| ( ( SV51
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV51 = sz10 )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(521,plain,
! [SV65: $i] :
( ( ( aInteger0 @ SV65 )
= $false )
| ( ( ! [SY176: $i] :
( ~ ( aDivisorOf0 @ SY176 @ SV65 )
| ~ ( isPrime0 @ SY176 ) )
| ( SV65 != sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(522,plain,
! [SV66: $i] :
( ( ( aInteger0 @ SV66 )
= $false )
| ( ( ! [SY177: $i] :
( ~ ( aDivisorOf0 @ SY177 @ SV66 )
| ~ ( isPrime0 @ SY177 ) )
| ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(523,plain,
! [SV58: $i,SV52: $i] :
( ( ( aInteger0 @ SV52 )
= $false )
| ( ( ~ ( aInteger0 @ SV58 ) )
= $true )
| ( ( SV58 = sz00 )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SV58 ) @ cS1395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(524,plain,
! [SV59: $i,SV53: $i] :
( ( ( aInteger0 @ SV53 )
= $false )
| ( ( ~ ( aInteger0 @ SV59 ) )
= $true )
| ( ( SV59 = sz00 )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(525,plain,
! [SV35: $i,SV19: $i,SV62: $i,SV67: $i] :
( ( ( SV67 = sz00 )
= $true )
| ( ( ( SV62 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV62 )
| ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(526,plain,
! [SV35: $i,SV19: $i,SV63: $i,SV68: $i] :
( ( ( SV68 = sz00 )
= $true )
| ( ( ( SV63 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV63 )
| ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(527,plain,
! [SV28: $i,SV11: $i,SV38: $i] :
( ( ( aInteger0 @ SV38 )
= $false )
| ( ( aInteger0 @ SV11 )
= $false )
| ( ( aInteger0 @ SV28 )
= $false )
| ( ( SV38 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
| ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(528,plain,
! [SV40: $i,SV39: $i,SV29: $i,SV12: $i] :
( ( ( aInteger0 @ SV12 )
= $false )
| ( ( ~ ( aInteger0 @ SV29 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV39 ) )
= $true )
| ( ( SV39 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(529,plain,
! [SV14: $i,SV33: $i] :
( ( ( isOpen0 @ SV33 )
= $false )
| ( ( aSubsetOf0 @ SV33 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV14 @ cS1395 )
= $false )
| ( ( isOpen0 @ SV14 )
= $false )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV14 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(530,plain,
! [SV15: $i,SV34: $i] :
( ( ( isClosed0 @ SV34 )
= $false )
| ( ( aSubsetOf0 @ SV34 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV15 @ cS1395 )
= $false )
| ( ( isClosed0 @ SV15 )
= $false )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV15 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(531,plain,
! [SV69: $i] :
( ( ~ ( aElementOf0 @ SV69 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) )
!= SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(532,plain,
! [SV70: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SY196: $i] :
( ( SY196 = sz00 )
| ~ ( aInteger0 @ SY196 )
| ~ ( isPrime0 @ SY196 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY196 )
!= SV70 ) ) )
| ( aElementOf0 @ SV70 @ xS ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(533,plain,
! [SV16: $i] :
( ( ( ~ ( aSet0 @ SV16 ) )
= $true )
| ( ( ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
= $false )
| ( ( isClosed0 @ ( sK1_W1 @ SV16 ) )
= $false )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(534,plain,
! [SV71: $i] :
( ( ( ( sdtasdt0 @ xp @ SV71 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(535,plain,
( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(536,plain,
! [SV72: $i] :
( ( ~ ( aElementOf0 @ SV72 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SV72 = sz10 )
| ( SV72
= ( smndt0 @ sz10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(537,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(538,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(539,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(540,plain,
! [SV17: $i] :
( ( ( aSet0 @ SV17 )
= $false )
| ( ( aSubsetOf0 @ ( sK2_W1 @ SV17 ) @ cS1395 )
= $false )
| ( ( isOpen0 @ ( sK2_W1 @ SV17 ) )
= $false )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(541,plain,
! [SV48: $i] :
( ( ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(542,plain,
! [SV73: $i] :
( ( ~ ( aInteger0 @ SV73 )
| ( aElementOf0 @ SV73 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV73 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(543,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(544,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(545,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(546,plain,
! [SV60: $i,SV56: $i,SV18: $i] :
( ( ( aInteger0 @ SV18 )
= $false )
| ( ( ~ ( aInteger0 @ SV56 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV60 ) )
= $true )
| ( ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(547,plain,
! [SV61: $i,SV57: $i,SV18: $i] :
( ( ( aInteger0 @ SV18 )
= $false )
| ( ( ~ ( aInteger0 @ SV57 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV61 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(548,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(549,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(550,plain,
! [SV51: $i] :
( ( ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 ) )
= $false )
| ( ( SV51
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV51 = sz10 )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(551,plain,
! [SV51: $i] :
( ( ( ~ ( isPrime0 @ ( sK3_W1 @ SV51 ) ) )
= $false )
| ( ( SV51
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV51 = sz10 )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(552,plain,
! [SV65: $i] :
( ( ( ! [SY176: $i] :
( ~ ( aDivisorOf0 @ SY176 @ SV65 )
| ~ ( isPrime0 @ SY176 ) ) )
= $true )
| ( ( ( SV65 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(553,plain,
! [SV66: $i] :
( ( ( ! [SY177: $i] :
( ~ ( aDivisorOf0 @ SY177 @ SV66 )
| ~ ( isPrime0 @ SY177 ) ) )
= $true )
| ( ( ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(554,plain,
! [SV52: $i,SV58: $i] :
( ( ( aInteger0 @ SV58 )
= $false )
| ( ( aInteger0 @ SV52 )
= $false )
| ( ( SV58 = sz00 )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV52 @ SV58 ) @ cS1395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(555,plain,
! [SV53: $i,SV59: $i] :
( ( ( aInteger0 @ SV59 )
= $false )
| ( ( aInteger0 @ SV53 )
= $false )
| ( ( SV59 = sz00 )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV53 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(556,plain,
! [SV67: $i,SV35: $i,SV19: $i,SV62: $i] :
( ( ( ( SV62 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV62 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(557,plain,
! [SV68: $i,SV35: $i,SV19: $i,SV63: $i] :
( ( ( ( SV63 = sz00 )
| ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV63 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(558,plain,
! [SV38: $i,SV28: $i,SV11: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 )
= $true )
| ( ( SV38 = sz00 )
= $true )
| ( ( aInteger0 @ SV28 )
= $false )
| ( ( aInteger0 @ SV11 )
= $false )
| ( ( aInteger0 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(559,plain,
! [SV40: $i,SV39: $i,SV12: $i,SV29: $i] :
( ( ( aInteger0 @ SV29 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( ~ ( aInteger0 @ SV39 ) )
= $true )
| ( ( SV39 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(560,plain,
! [SV69: $i] :
( ( ( ~ ( aElementOf0 @ SV69 @ xS ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) )
!= SV69 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(561,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SY196: $i] :
( ( SY196 = sz00 )
| ~ ( aInteger0 @ SY196 )
| ~ ( isPrime0 @ SY196 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY196 )
!= SV70 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(562,plain,
! [SV16: $i] :
( ( ( aSet0 @ SV16 )
= $false )
| ( ( ~ ( isFinite0 @ SV16 ) )
= $true )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
= $false )
| ( ( isClosed0 @ ( sK1_W1 @ SV16 ) )
= $false )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(563,plain,
! [SV71: $i] :
( ( ( ( ( sdtasdt0 @ xp @ SV71 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(564,plain,
! [SV72: $i] :
( ( ( ~ ( aElementOf0 @ SV72 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ( SV72 = sz10 )
| ( SV72
= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(565,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(566,plain,
( ( ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(567,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(568,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(569,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(570,plain,
( ( ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(571,plain,
! [SV48: $i] :
( ( ( ~ ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(572,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(573,plain,
! [SV73: $i] :
( ( ( ~ ( aInteger0 @ SV73 )
| ( aElementOf0 @ SV73 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV73 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(574,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(575,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(576,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(577,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(578,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(579,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(580,plain,
! [SV60: $i,SV18: $i,SV56: $i] :
( ( ( aInteger0 @ SV56 )
= $false )
| ( ( aInteger0 @ SV18 )
= $false )
| ( ( ~ ( aInteger0 @ SV60 ) )
= $true )
| ( ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(581,plain,
! [SV61: $i,SV18: $i,SV57: $i] :
( ( ( aInteger0 @ SV57 )
= $false )
| ( ( aInteger0 @ SV18 )
= $false )
| ( ( ~ ( aInteger0 @ SV61 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(582,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(583,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(584,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(585,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(586,plain,
! [SV51: $i] :
( ( ( aDivisorOf0 @ ( sK3_W1 @ SV51 ) @ SV51 )
= $true )
| ( ( SV51
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV51 = sz10 )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(587,plain,
! [SV51: $i] :
( ( ( isPrime0 @ ( sK3_W1 @ SV51 ) )
= $true )
| ( ( SV51
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV51 = sz10 )
= $true )
| ( ( aInteger0 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(588,plain,
! [SV65: $i,SV74: $i] :
( ( ( ~ ( aDivisorOf0 @ SV74 @ SV65 )
| ~ ( isPrime0 @ SV74 ) )
= $true )
| ( ( ( SV65 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(589,plain,
! [SV66: $i,SV75: $i] :
( ( ( ~ ( aDivisorOf0 @ SV75 @ SV66 )
| ~ ( isPrime0 @ SV75 ) )
= $true )
| ( ( ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(590,plain,
! [SV67: $i,SV35: $i,SV19: $i,SV62: $i] :
( ( ( SV62 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV62 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(591,plain,
! [SV68: $i,SV35: $i,SV19: $i,SV63: $i] :
( ( ( SV63 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 )
| ~ ( aInteger0 @ SV63 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(592,plain,
! [SV38: $i,SV28: $i,SV11: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV11 @ SV28 @ SV38 )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV28 @ SV11 @ SV38 )
= $true )
| ( ( SV38 = sz00 )
= $true )
| ( ( aInteger0 @ SV28 )
= $false )
| ( ( aInteger0 @ SV11 )
= $false )
| ( ( aInteger0 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(593,plain,
! [SV40: $i,SV29: $i,SV12: $i,SV39: $i] :
( ( ( aInteger0 @ SV39 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( aInteger0 @ SV29 )
= $false )
| ( ( SV39 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV40 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(594,plain,
! [SV69: $i] :
( ( ( aElementOf0 @ SV69 @ xS )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) )
!= SV69 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(595,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SY196: $i] :
( ( SY196 = sz00 )
| ~ ( aInteger0 @ SY196 )
| ~ ( isPrime0 @ SY196 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY196 )
!= SV70 ) ) )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(596,plain,
! [SV16: $i] :
( ( ( isFinite0 @ SV16 )
= $false )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV16 ) @ cS1395 )
= $false )
| ( ( isClosed0 @ ( sK1_W1 @ SV16 ) )
= $false )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(597,plain,
! [SV71: $i] :
( ( ( ( sdtasdt0 @ xp @ SV71 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(598,plain,
! [SV72: $i] :
( ( ( aElementOf0 @ SV72 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ( SV72 = sz10 )
| ( SV72
= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(599,plain,
( ( ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(600,plain,
( ( ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(601,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(602,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(603,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(604,plain,
( ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(605,plain,
! [SV48: $i] :
( ( ( ! [SY161: $i] :
( ~ ( aElementOf0 @ SY161 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SY161 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(606,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(607,plain,
! [SV73: $i] :
( ( ( ~ ( aInteger0 @ SV73 ) )
= $true )
| ( ( aElementOf0 @ SV73 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV73 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(608,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(609,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(610,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(611,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(612,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(613,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(614,plain,
! [SV56: $i,SV18: $i,SV60: $i] :
( ( ( aInteger0 @ SV60 )
= $false )
| ( ( aInteger0 @ SV18 )
= $false )
| ( ( aInteger0 @ SV56 )
= $false )
| ( ( ( sdtasdt0 @ SV18 @ ( sdtpldt0 @ SV56 @ SV60 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV56 ) @ ( sdtasdt0 @ SV18 @ SV60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(615,plain,
! [SV57: $i,SV18: $i,SV61: $i] :
( ( ( aInteger0 @ SV61 )
= $false )
| ( ( aInteger0 @ SV18 )
= $false )
| ( ( aInteger0 @ SV57 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV18 @ SV57 ) @ SV61 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV18 @ SV61 ) @ ( sdtasdt0 @ SV57 @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(616,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(617,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(618,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(619,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(620,plain,
! [SV65: $i,SV74: $i] :
( ( ( ~ ( aDivisorOf0 @ SV74 @ SV65 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV74 ) )
= $true )
| ( ( ( SV65 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(621,plain,
! [SV66: $i,SV75: $i] :
( ( ( ~ ( aDivisorOf0 @ SV75 @ SV66 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV75 ) )
= $true )
| ( ( ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(622,plain,
! [SV67: $i,SV62: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV62 ) )
= $true )
| ( ( SV62 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(623,plain,
! [SV68: $i,SV63: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( aInteger0 @ SV19 )
| ~ ( aInteger0 @ SV35 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV63 ) )
= $true )
| ( ( SV63 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(624,plain,
! [SV12: $i,SV29: $i,SV39: $i,SV40: $i] :
( ( ( aInteger0 @ SV40 )
= $false )
| ( ( SV39 = sz00 )
= $true )
| ( ( aInteger0 @ SV29 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( aInteger0 @ SV39 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
| ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(625,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) )
!= SV69 ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(626,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(627,plain,
! [SV70: $i] :
( ( ( ~ ! [SY196: $i] :
( ( SY196 = sz00 )
| ~ ( aInteger0 @ SY196 )
| ~ ( isPrime0 @ SY196 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY196 )
!= SV70 ) ) )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(628,plain,
! [SV71: $i] :
( ( ( aInteger0 @ SV71 )
= $false )
| ( ( ( sdtasdt0 @ xp @ SV71 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ xp ) @ ( smndt0 @ sz10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(629,plain,
! [SV72: $i] :
( ( ( SV72 = sz10 )
= $true )
| ( ( SV72
= ( smndt0 @ sz10 ) )
= $true )
| ( ( aElementOf0 @ SV72 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(630,plain,
! [SV76: $i] :
( ( ( SV76 != sz10 )
| ( aElementOf0 @ SV76 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(631,plain,
! [SV77: $i] :
( ( ( SV77
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SV77 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(632,plain,
! [SV78: $i] :
( ( ~ ( aInteger0 @ SV78 )
| ( aElementOf0 @ SV78 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV78 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(633,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(634,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(635,plain,
! [SV48: $i,SV79: $i] :
( ( ( ~ ( aElementOf0 @ SV79 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aElementOf0 @ SV79 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(636,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(637,plain,
! [SV73: $i] :
( ( ( aInteger0 @ SV73 )
= $false )
| ( ( aElementOf0 @ SV73 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV73 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(638,plain,
! [SV80: $i] :
( ( ~ ( aElementOf0 @ SV80 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(639,plain,
! [SV81: $i] :
( ( ~ ( aElementOf0 @ SV81 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV81 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(640,plain,
! [SV82: $i] :
( ( ! [SY197: $i] :
( ~ ( aElementOf0 @ SY197 @ xS )
| ~ ( aElementOf0 @ SV82 @ SY197 ) )
| ~ ( aInteger0 @ SV82 )
| ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(641,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(642,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(643,plain,
! [SV83: $i] :
( ( ~ ( aInteger0 @ SV83 )
| ( aElementOf0 @ SV83 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV83 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(644,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(645,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(646,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(647,plain,
! [SV65: $i,SV74: $i] :
( ( ( aDivisorOf0 @ SV74 @ SV65 )
= $false )
| ( ( ~ ( isPrime0 @ SV74 ) )
= $true )
| ( ( ( SV65 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(648,plain,
! [SV66: $i,SV75: $i] :
( ( ( aDivisorOf0 @ SV75 @ SV66 )
= $false )
| ( ( ~ ( isPrime0 @ SV75 ) )
= $true )
| ( ( ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(649,plain,
! [SV67: $i,SV62: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( aInteger0 @ SV19 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV35 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV62 ) )
= $true )
| ( ( SV62 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(650,plain,
! [SV68: $i,SV63: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( aInteger0 @ SV19 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV35 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV63 ) )
= $true )
| ( ( SV63 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(651,plain,
! [SV40: $i,SV39: $i,SV29: $i,SV12: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 )
= $true )
| ( ( aInteger0 @ SV39 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( aInteger0 @ SV29 )
= $false )
| ( ( SV39 = sz00 )
= $true )
| ( ( aInteger0 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(652,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(653,plain,
! [SV69: $i] :
( ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) )
!= SV69 ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(654,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(655,plain,
! [SV70: $i] :
( ( ( ! [SY196: $i] :
( ( SY196 = sz00 )
| ~ ( aInteger0 @ SY196 )
| ~ ( isPrime0 @ SY196 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY196 )
!= SV70 ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(656,plain,
! [SV76: $i] :
( ( ( ( SV76 != sz10 ) )
= $true )
| ( ( aElementOf0 @ SV76 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(657,plain,
! [SV77: $i] :
( ( ( ( SV77
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aElementOf0 @ SV77 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(658,plain,
! [SV78: $i] :
( ( ( ~ ( aInteger0 @ SV78 )
| ( aElementOf0 @ SV78 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV78 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(659,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(660,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(661,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(662,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(663,plain,
! [SV48: $i,SV79: $i] :
( ( ( ~ ( aElementOf0 @ SV79 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV79 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(664,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[636]) ).
thf(665,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[636]) ).
thf(666,plain,
! [SV80: $i] :
( ( ( ~ ( aElementOf0 @ SV80 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(667,plain,
! [SV81: $i] :
( ( ( ~ ( aElementOf0 @ SV81 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV81 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(668,plain,
! [SV82: $i] :
( ( ( ! [SY197: $i] :
( ~ ( aElementOf0 @ SY197 @ xS )
| ~ ( aElementOf0 @ SV82 @ SY197 ) )
| ~ ( aInteger0 @ SV82 ) )
= $true )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(669,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(670,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(671,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(672,plain,
( ( ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(673,plain,
! [SV83: $i] :
( ( ( ~ ( aInteger0 @ SV83 )
| ( aElementOf0 @ SV83 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV83 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(674,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(675,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(676,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(677,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(678,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(679,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(680,plain,
! [SV65: $i,SV74: $i] :
( ( ( isPrime0 @ SV74 )
= $false )
| ( ( aDivisorOf0 @ SV74 @ SV65 )
= $false )
| ( ( ( SV65 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(681,plain,
! [SV66: $i,SV75: $i] :
( ( ( isPrime0 @ SV75 )
= $false )
| ( ( aDivisorOf0 @ SV75 @ SV66 )
= $false )
| ( ( ( SV66
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(682,plain,
! [SV67: $i,SV62: $i,SV35: $i,SV19: $i] :
( ( ( aInteger0 @ SV19 )
= $false )
| ( ( ~ ( aInteger0 @ SV35 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV62 ) )
= $true )
| ( ( SV62 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(683,plain,
! [SV68: $i,SV63: $i,SV35: $i,SV19: $i] :
( ( ( aInteger0 @ SV19 )
= $false )
| ( ( ~ ( aInteger0 @ SV35 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV63 ) )
= $true )
| ( ( SV63 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(684,plain,
! [SV40: $i,SV39: $i,SV29: $i,SV12: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 )
= $true )
| ( ( aInteger0 @ SV39 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( aInteger0 @ SV29 )
= $false )
| ( ( SV39 = sz00 )
= $true )
| ( ( aInteger0 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(685,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(686,plain,
! [SV69: $i] :
( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) )
= SV69 )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(687,plain,
! [SV70: $i] :
( ( ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(688,plain,
! [SV70: $i,SV84: $i] :
( ( ( ( SV84 = sz00 )
| ~ ( aInteger0 @ SV84 )
| ~ ( isPrime0 @ SV84 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
!= SV70 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(689,plain,
! [SV76: $i] :
( ( ( SV76 = sz10 )
= $false )
| ( ( aElementOf0 @ SV76 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(690,plain,
! [SV77: $i] :
( ( ( SV77
= ( smndt0 @ sz10 ) )
= $false )
| ( ( aElementOf0 @ SV77 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(691,plain,
! [SV78: $i] :
( ( ( ~ ( aInteger0 @ SV78 ) )
= $true )
| ( ( aElementOf0 @ SV78 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV78 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(692,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(693,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(694,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(695,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(696,plain,
! [SV48: $i,SV79: $i] :
( ( ( aElementOf0 @ SV79 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV79 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(697,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(698,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(699,plain,
! [SV80: $i] :
( ( ( aElementOf0 @ SV80 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(700,plain,
! [SV81: $i] :
( ( ( aElementOf0 @ SV81 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV81 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(701,plain,
! [SV82: $i] :
( ( ( ! [SY197: $i] :
( ~ ( aElementOf0 @ SY197 @ xS )
| ~ ( aElementOf0 @ SV82 @ SY197 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV82 ) )
= $true )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(702,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(703,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(704,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[671]) ).
thf(705,plain,
( ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(706,plain,
! [SV83: $i] :
( ( ( ~ ( aInteger0 @ SV83 ) )
= $true )
| ( ( aElementOf0 @ SV83 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV83 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(707,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(708,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(709,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(710,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(711,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(712,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(713,plain,
! [SV74: $i,SV65: $i] :
( ( ( SV65 = sz10 )
= $false )
| ( ( aDivisorOf0 @ SV74 @ SV65 )
= $false )
| ( ( isPrime0 @ SV74 )
= $false )
| ( ( aInteger0 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(714,plain,
! [SV75: $i,SV66: $i] :
( ( ( SV66
= ( smndt0 @ sz10 ) )
= $false )
| ( ( aDivisorOf0 @ SV75 @ SV66 )
= $false )
| ( ( isPrime0 @ SV75 )
= $false )
| ( ( aInteger0 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(715,plain,
! [SV67: $i,SV62: $i,SV19: $i,SV35: $i] :
( ( ( aInteger0 @ SV35 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( ~ ( aInteger0 @ SV62 ) )
= $true )
| ( ( SV62 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(716,plain,
! [SV68: $i,SV63: $i,SV19: $i,SV35: $i] :
( ( ( aInteger0 @ SV35 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( ~ ( aInteger0 @ SV63 ) )
= $true )
| ( ( SV63 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(717,plain,
! [SV40: $i,SV39: $i,SV29: $i,SV12: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 )
= $true )
| ( ( aInteger0 @ SV39 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( aInteger0 @ SV29 )
= $false )
| ( ( SV39 = sz00 )
= $true )
| ( ( aInteger0 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(718,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(719,plain,
! [SV70: $i] :
( ( ( ~ ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(720,plain,
! [SV70: $i] :
( ( ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(721,plain,
! [SV70: $i,SV84: $i] :
( ( ( ( SV84 = sz00 )
| ~ ( aInteger0 @ SV84 )
| ~ ( isPrime0 @ SV84 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
!= SV70 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(722,plain,
! [SV78: $i] :
( ( ( aInteger0 @ SV78 )
= $false )
| ( ( aElementOf0 @ SV78 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV78 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(723,plain,
! [SV85: $i] :
( ( ~ ( aElementOf0 @ SV85 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(724,plain,
! [SV86: $i] :
( ( ~ ( aElementOf0 @ SV86 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV86 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(725,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(726,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(727,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(728,plain,
! [SV81: $i] :
( ( ( aElementOf0 @ SV81 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV81 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(729,plain,
! [SV82: $i,SV87: $i] :
( ( ( ~ ( aElementOf0 @ SV87 @ xS )
| ~ ( aElementOf0 @ SV82 @ SV87 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV82 ) )
= $true )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(730,plain,
! [SV88: $i] :
( ( ~ ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SV88 ) @ xS )
| ~ ( aElementOf0 @ SV88 @ ( sK9_W1 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(731,plain,
! [SV89: $i] :
( ( ~ ( aElementOf0 @ SV89 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(732,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(733,plain,
! [SV83: $i] :
( ( ( aInteger0 @ SV83 )
= $false )
| ( ( aElementOf0 @ SV83 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV83 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(734,plain,
! [SV90: $i] :
( ( ~ ( aElementOf0 @ SV90 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(735,plain,
! [SV91: $i] :
( ( ~ ( aElementOf0 @ SV91 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV91 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(736,plain,
! [SV92: $i] :
( ( ! [SY198: $i] :
( ~ ( aElementOf0 @ SY198 @ xS )
| ~ ( aElementOf0 @ SV92 @ SY198 ) )
| ~ ( aInteger0 @ SV92 )
| ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(737,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(738,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(739,plain,
! [SV67: $i,SV35: $i,SV19: $i,SV62: $i] :
( ( ( aInteger0 @ SV62 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( SV62 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV67 ) )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(740,plain,
! [SV68: $i,SV35: $i,SV19: $i,SV63: $i] :
( ( ( aInteger0 @ SV63 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( SV63 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV68 ) )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(741,plain,
! [SV12: $i,SV39: $i,SV40: $i,SV29: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV29 @ SV40 @ SV39 )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV29 @ SV39 )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV12 @ SV40 @ SV39 )
= $true )
| ( ( aInteger0 @ SV39 )
= $false )
| ( ( aInteger0 @ SV12 )
= $false )
| ( ( aInteger0 @ SV29 )
= $false )
| ( ( SV39 = sz00 )
= $true )
| ( ( aInteger0 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(742,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(743,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(744,plain,
! [SV70: $i] :
( ( ( ! [SY186: $i] :
( ( SY186 = sz00 )
| ~ ( aInteger0 @ SY186 )
| ~ ( isPrime0 @ SY186 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( aElementOf0 @ SY187 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ~ ( ( ( sdtasdt0 @ SY186 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) )
!= ( sdtpldt0 @ SY187 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY187 @ SY186 @ SV70 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY186 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY186 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY186 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY186 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(745,plain,
! [SV70: $i] :
( ( ( ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(746,plain,
! [SV70: $i,SV84: $i] :
( ( ( ( SV84 = sz00 )
| ~ ( aInteger0 @ SV84 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV84 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
!= SV70 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(747,plain,
! [SV85: $i] :
( ( ( ~ ( aElementOf0 @ SV85 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(748,plain,
! [SV86: $i] :
( ( ( ~ ( aElementOf0 @ SV86 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV86 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(749,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(750,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(751,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(752,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(753,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(754,plain,
! [SV48: $i] :
( ( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(755,plain,
! [SV82: $i,SV87: $i] :
( ( ( ~ ( aElementOf0 @ SV87 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV82 @ SV87 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV82 ) )
= $true )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(756,plain,
! [SV88: $i] :
( ( ( ~ ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SV88 ) @ xS )
| ~ ( aElementOf0 @ SV88 @ ( sK9_W1 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(757,plain,
! [SV89: $i] :
( ( ( ~ ( aElementOf0 @ SV89 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(758,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(759,plain,
( ( ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(760,plain,
! [SV90: $i] :
( ( ( ~ ( aElementOf0 @ SV90 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(761,plain,
! [SV91: $i] :
( ( ( ~ ( aElementOf0 @ SV91 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV91 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(762,plain,
! [SV92: $i] :
( ( ( ! [SY198: $i] :
( ~ ( aElementOf0 @ SY198 @ xS )
| ~ ( aElementOf0 @ SV92 @ SY198 ) )
| ~ ( aInteger0 @ SV92 ) )
= $true )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(763,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(764,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[737]) ).
thf(765,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(766,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(767,plain,
! [SV19: $i,SV35: $i,SV62: $i,SV67: $i] :
( ( ( aInteger0 @ SV67 )
= $false )
| ( ( SV62 = sz00 )
= $true )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV62 )
= $false )
| ( ( SV67 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(768,plain,
! [SV19: $i,SV35: $i,SV63: $i,SV68: $i] :
( ( ( aInteger0 @ SV68 )
= $false )
| ( ( SV63 = sz00 )
= $true )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV63 )
= $false )
| ( ( SV68 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(769,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(770,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(771,plain,
! [SV70: $i,SV93: $i] :
( ( ( ( SV93 = sz00 )
| ~ ( aInteger0 @ SV93 )
| ~ ( isPrime0 @ SV93 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(772,plain,
! [SV70: $i,SV94: $i] :
( ( ( ( SV94 = sz00 )
| ~ ( aInteger0 @ SV94 )
| ~ ( isPrime0 @ SV94 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV94 ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(773,plain,
! [SV70: $i,SV84: $i] :
( ( ( SV84 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV84 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV84 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
!= SV70 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(774,plain,
! [SV85: $i] :
( ( ( aElementOf0 @ SV85 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(775,plain,
! [SV86: $i] :
( ( ( aElementOf0 @ SV86 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV86 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(776,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(777,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(778,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(779,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(780,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(781,plain,
! [SV48: $i] :
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(782,plain,
! [SV82: $i,SV87: $i] :
( ( ( aElementOf0 @ SV87 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV82 @ SV87 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV82 ) )
= $true )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(783,plain,
! [SV88: $i] :
( ( ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SV88 ) @ xS )
| ~ ( aElementOf0 @ SV88 @ ( sK9_W1 @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(784,plain,
! [SV89: $i] :
( ( ( aElementOf0 @ SV89 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(785,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(786,plain,
( ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(787,plain,
! [SV90: $i] :
( ( ( aElementOf0 @ SV90 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(788,plain,
! [SV91: $i] :
( ( ( aElementOf0 @ SV91 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV91 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(789,plain,
! [SV92: $i] :
( ( ( ! [SY198: $i] :
( ~ ( aElementOf0 @ SY198 @ xS )
| ~ ( aElementOf0 @ SV92 @ SY198 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV92 ) )
= $true )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(790,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(791,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(792,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(793,plain,
( ( ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(794,plain,
! [SV67: $i,SV62: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( aInteger0 @ SV62 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( SV62 = sz00 )
= $true )
| ( ( aInteger0 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(795,plain,
! [SV68: $i,SV63: $i,SV35: $i,SV19: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( aInteger0 @ SV63 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( SV63 = sz00 )
= $true )
| ( ( aInteger0 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(796,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(797,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(798,plain,
! [SV70: $i,SV93: $i] :
( ( ( ( SV93 = sz00 )
| ~ ( aInteger0 @ SV93 )
| ~ ( isPrime0 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(799,plain,
! [SV70: $i,SV94: $i] :
( ( ( ( SV94 = sz00 )
| ~ ( aInteger0 @ SV94 )
| ~ ( isPrime0 @ SV94 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV94 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(800,plain,
! [SV70: $i,SV84: $i] :
( ( ( aInteger0 @ SV84 )
= $false )
| ( ( SV84 = sz00 )
= $true )
| ( ( ~ ( isPrime0 @ SV84 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
!= SV70 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(801,plain,
! [SV86: $i] :
( ( ( aElementOf0 @ SV86 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV86 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(802,plain,
! [SV95: $i] :
( ( ! [SY207: $i] :
( ~ ( aElementOf0 @ SY207 @ xS )
| ~ ( aElementOf0 @ SV95 @ SY207 ) )
| ~ ( aInteger0 @ SV95 )
| ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(803,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(804,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
| ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(805,plain,
! [SV48: $i] :
( ( ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(806,plain,
! [SV48: $i] :
( ( ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(807,plain,
! [SV87: $i,SV82: $i] :
( ( ( aElementOf0 @ SV82 @ SV87 )
= $false )
| ( ( aElementOf0 @ SV87 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV82 ) )
= $true )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(808,plain,
! [SV88: $i] :
( ( ( ~ ( aElementOf0 @ ( sK9_W1 @ SV88 ) @ xS )
| ~ ( aElementOf0 @ SV88 @ ( sK9_W1 @ SV88 ) ) )
= $false )
| ( ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(809,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(810,plain,
! [SV91: $i] :
( ( ( aElementOf0 @ SV91 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV91 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(811,plain,
! [SV92: $i,SV96: $i] :
( ( ( ~ ( aElementOf0 @ SV96 @ xS )
| ~ ( aElementOf0 @ SV92 @ SV96 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV92 ) )
= $true )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(812,plain,
! [SV97: $i] :
( ( ~ ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SV97 ) @ xS )
| ~ ( aElementOf0 @ SV97 @ ( sK5_W1 @ SV97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(813,plain,
! [SV98: $i] :
( ( ~ ( aElementOf0 @ SV98 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(814,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(815,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(816,plain,
! [SV67: $i,SV62: $i,SV35: $i,SV19: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV62 @ SV67 ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV62 )
= $true )
| ( ( SV67 = sz00 )
= $true )
| ( ( aInteger0 @ SV62 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( SV62 = sz00 )
= $true )
| ( ( aInteger0 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(817,plain,
! [SV68: $i,SV63: $i,SV35: $i,SV19: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ ( sdtasdt0 @ SV63 @ SV68 ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV19 @ SV35 @ SV68 )
= $true )
| ( ( SV68 = sz00 )
= $true )
| ( ( aInteger0 @ SV63 )
= $false )
| ( ( aInteger0 @ SV19 )
= $false )
| ( ( aInteger0 @ SV35 )
= $false )
| ( ( SV63 = sz00 )
= $true )
| ( ( aInteger0 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(818,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(819,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(820,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(821,plain,
! [SV69: $i] :
( ( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(822,plain,
! [SV70: $i,SV93: $i] :
( ( ( ( SV93 = sz00 )
| ~ ( aInteger0 @ SV93 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(823,plain,
! [SV70: $i,SV94: $i] :
( ( ( ( SV94 = sz00 )
| ~ ( aInteger0 @ SV94 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV94 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV94 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(824,plain,
! [SV70: $i,SV84: $i] :
( ( ( isPrime0 @ SV84 )
= $false )
| ( ( SV84 = sz00 )
= $true )
| ( ( aInteger0 @ SV84 )
= $false )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
!= SV70 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(825,plain,
! [SV95: $i] :
( ( ( ! [SY207: $i] :
( ~ ( aElementOf0 @ SY207 @ xS )
| ~ ( aElementOf0 @ SV95 @ SY207 ) )
| ~ ( aInteger0 @ SV95 ) )
= $true )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(826,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(827,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(828,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(829,plain,
! [SV48: $i] :
( ( ( ~ ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(830,plain,
! [SV48: $i] :
( ( ( ~ ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(831,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(832,plain,
! [SV48: $i] :
( ( ( ~ ( ( ( sK10_W1 @ SV48 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(833,plain,
! [SV48: $i] :
( ( ( ~ ( aInteger0 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(834,plain,
! [SV87: $i,SV82: $i] :
( ( ( aInteger0 @ SV82 )
= $false )
| ( ( aElementOf0 @ SV87 @ xS )
= $false )
| ( ( aElementOf0 @ SV82 @ SV87 )
= $false )
| ( ( aElementOf0 @ SV82 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(835,plain,
! [SV88: $i] :
( ( ( ~ ( aElementOf0 @ ( sK9_W1 @ SV88 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(836,plain,
! [SV88: $i] :
( ( ( ~ ( aElementOf0 @ SV88 @ ( sK9_W1 @ SV88 ) ) )
= $false )
| ( ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(837,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(838,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(839,plain,
! [SV92: $i,SV96: $i] :
( ( ( ~ ( aElementOf0 @ SV96 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV92 @ SV96 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV92 ) )
= $true )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(840,plain,
! [SV97: $i] :
( ( ( ~ ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SV97 ) @ xS )
| ~ ( aElementOf0 @ SV97 @ ( sK5_W1 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(841,plain,
! [SV98: $i] :
( ( ( ~ ( aElementOf0 @ SV98 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(842,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(843,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(844,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(845,plain,
( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(846,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(847,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(848,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(849,plain,
! [SV69: $i] :
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(850,plain,
! [SV70: $i,SV93: $i] :
( ( ( SV93 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV93 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(851,plain,
! [SV70: $i,SV94: $i] :
( ( ( SV94 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV94 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV94 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV94 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(852,plain,
! [SV70: $i,SV84: $i] :
( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV84 )
= SV70 )
= $false )
| ( ( aInteger0 @ SV84 )
= $false )
| ( ( SV84 = sz00 )
= $true )
| ( ( isPrime0 @ SV84 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(853,plain,
! [SV95: $i] :
( ( ( ! [SY207: $i] :
( ~ ( aElementOf0 @ SY207 @ xS )
| ~ ( aElementOf0 @ SV95 @ SY207 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV95 ) )
= $true )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(854,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(855,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(856,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(857,plain,
! [SV48: $i] :
( ( ( ! [SY165: $i] :
( ~ ( aElementOf0 @ SY165 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY165 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(858,plain,
! [SV48: $i] :
( ( ( ! [SY166: $i] :
( ~ ( aInteger0 @ SY166 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY166 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SY166 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(859,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(860,plain,
! [SV48: $i] :
( ( ( ( ( sK10_W1 @ SV48 )
!= sz00 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(861,plain,
! [SV48: $i] :
( ( ( aInteger0 @ ( sK10_W1 @ SV48 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(862,plain,
! [SV88: $i] :
( ( ( aElementOf0 @ ( sK9_W1 @ SV88 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(863,plain,
! [SV88: $i] :
( ( ( aElementOf0 @ SV88 @ ( sK9_W1 @ SV88 ) )
= $true )
| ( ( aElementOf0 @ SV88 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(864,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(865,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(866,plain,
! [SV92: $i,SV96: $i] :
( ( ( aElementOf0 @ SV96 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV92 @ SV96 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV92 ) )
= $true )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(867,plain,
! [SV97: $i] :
( ( ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SV97 ) @ xS )
| ~ ( aElementOf0 @ SV97 @ ( sK5_W1 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(868,plain,
! [SV98: $i] :
( ( ( aElementOf0 @ SV98 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(869,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(870,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(871,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(872,plain,
( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(873,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(874,plain,
! [SV69: $i] :
( ( ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(875,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(876,plain,
! [SV70: $i,SV93: $i] :
( ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( ~ ( isPrime0 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(877,plain,
! [SV70: $i,SV94: $i] :
( ( ( aInteger0 @ SV94 )
= $false )
| ( ( SV94 = sz00 )
= $true )
| ( ( ~ ( isPrime0 @ SV94 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV94 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(878,plain,
! [SV95: $i,SV99: $i] :
( ( ( ~ ( aElementOf0 @ SV99 @ xS )
| ~ ( aElementOf0 @ SV95 @ SV99 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV95 ) )
= $true )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(879,plain,
! [SV100: $i] :
( ( ~ ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SV100 ) @ xS )
| ~ ( aElementOf0 @ SV100 @ ( sK12_W1 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(880,plain,
! [SV101: $i] :
( ( ~ ( aElementOf0 @ SV101 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(881,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
| ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(882,plain,
! [SV48: $i,SV102: $i] :
( ( ( ~ ( aElementOf0 @ SV102 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SV102 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(883,plain,
! [SV48: $i,SV103: $i] :
( ( ( ~ ( aInteger0 @ SV103 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV103 @ SV48 @ ( sK10_W1 @ SV48 ) )
| ( aElementOf0 @ SV103 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(884,plain,
! [SV48: $i] :
( ( ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
| ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(885,plain,
! [SV48: $i] :
( ( ( ( sK10_W1 @ SV48 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(886,plain,
! [SV104: $i] :
( ( ~ ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(887,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(888,plain,
! [SV96: $i,SV92: $i] :
( ( ( aElementOf0 @ SV92 @ SV96 )
= $false )
| ( ( aElementOf0 @ SV96 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV92 ) )
= $true )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(889,plain,
! [SV97: $i] :
( ( ( ~ ( aElementOf0 @ ( sK5_W1 @ SV97 ) @ xS )
| ~ ( aElementOf0 @ SV97 @ ( sK5_W1 @ SV97 ) ) )
= $false )
| ( ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(890,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(891,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(892,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(893,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(894,plain,
! [SV69: $i] :
( ( ( ~ ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(895,plain,
! [SV69: $i] :
( ( ( ~ ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(896,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(897,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(898,plain,
! [SV69: $i] :
( ( ( ~ ( isPrime0 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(899,plain,
! [SV70: $i,SV93: $i] :
( ( ( isPrime0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(900,plain,
! [SV70: $i,SV94: $i] :
( ( ( isPrime0 @ SV94 )
= $false )
| ( ( SV94 = sz00 )
= $true )
| ( ( aInteger0 @ SV94 )
= $false )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV94 ) )
= $true )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(901,plain,
! [SV95: $i,SV99: $i] :
( ( ( ~ ( aElementOf0 @ SV99 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV95 @ SV99 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV95 ) )
= $true )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(902,plain,
! [SV100: $i] :
( ( ( ~ ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SV100 ) @ xS )
| ~ ( aElementOf0 @ SV100 @ ( sK12_W1 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(903,plain,
! [SV101: $i] :
( ( ( ~ ( aElementOf0 @ SV101 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(904,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(905,plain,
! [SV48: $i] :
( ( ( ~ ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(906,plain,
! [SV48: $i,SV102: $i] :
( ( ( ~ ( aElementOf0 @ SV102 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV102 @ SV48 @ ( sK10_W1 @ SV48 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(907,plain,
! [SV48: $i,SV103: $i] :
( ( ( ~ ( aInteger0 @ SV103 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV103 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV103 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(908,plain,
! [SV48: $i] :
( ( ( ~ ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(909,plain,
! [SV48: $i] :
( ( ( ~ ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(910,plain,
! [SV104: $i] :
( ( ( ~ ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(911,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(912,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(913,plain,
! [SV96: $i,SV92: $i] :
( ( ( aInteger0 @ SV92 )
= $false )
| ( ( aElementOf0 @ SV96 @ xS )
= $false )
| ( ( aElementOf0 @ SV92 @ SV96 )
= $false )
| ( ( aElementOf0 @ SV92 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(914,plain,
! [SV97: $i] :
( ( ( ~ ( aElementOf0 @ ( sK5_W1 @ SV97 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[889]) ).
thf(915,plain,
! [SV97: $i] :
( ( ( ~ ( aElementOf0 @ SV97 @ ( sK5_W1 @ SV97 ) ) )
= $false )
| ( ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[889]) ).
thf(916,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(917,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(918,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(919,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(920,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(921,plain,
( ( ~ ( aInteger0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(922,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(923,plain,
! [SV69: $i] :
( ( ( ! [SY181: $i] :
( ~ ( aElementOf0 @ SY181 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY181 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(924,plain,
! [SV69: $i] :
( ( ( ! [SY182: $i] :
( ~ ( aInteger0 @ SY182 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY182 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SY182 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(925,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(926,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(927,plain,
! [SV69: $i] :
( ( ( isPrime0 @ ( sK14_W1 @ SV69 ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(928,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(929,plain,
! [SV95: $i,SV99: $i] :
( ( ( aElementOf0 @ SV99 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV95 @ SV99 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV95 ) )
= $true )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(930,plain,
! [SV100: $i] :
( ( ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SV100 ) @ xS )
| ~ ( aElementOf0 @ SV100 @ ( sK12_W1 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(931,plain,
! [SV101: $i] :
( ( ( aElementOf0 @ SV101 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(932,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(933,plain,
! [SV48: $i] :
( ( ( ! [SY164: $i] :
( ~ ( aElementOf0 @ SY164 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY164 @ ( smndt0 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[905]) ).
thf(934,plain,
! [SV48: $i,SV102: $i] :
( ( ( aElementOf0 @ SV102 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV102 @ SV48 @ ( sK10_W1 @ SV48 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(935,plain,
! [SV48: $i,SV103: $i] :
( ( ( ~ ( aInteger0 @ SV103 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV103 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV103 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(936,plain,
! [SV48: $i] :
( ( ( ! [SY167: $i] :
( ~ ( aInteger0 @ SY167 )
| ! [SY168: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY168 )
!= ( sdtpldt0 @ SY167 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY168 ) )
| ( aElementOf0 @ SY167 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(937,plain,
! [SV48: $i] :
( ( ( ! [SY169: $i] :
( ~ ( aInteger0 @ SY169 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SY169 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SY169 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(938,plain,
! [SV104: $i] :
( ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(939,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(940,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(941,plain,
! [SV97: $i] :
( ( ( aElementOf0 @ ( sK5_W1 @ SV97 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(942,plain,
! [SV97: $i] :
( ( ( aElementOf0 @ SV97 @ ( sK5_W1 @ SV97 ) )
= $true )
| ( ( aElementOf0 @ SV97 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(943,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(944,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(945,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(946,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(947,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(948,plain,
( ( aInteger0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(949,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
| ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(950,plain,
! [SV69: $i,SV105: $i] :
( ( ( ~ ( aElementOf0 @ SV105 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SV105 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(951,plain,
! [SV69: $i,SV106: $i] :
( ( ( ~ ( aInteger0 @ SV106 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV106 @ sz00 @ ( sK14_W1 @ SV69 ) )
| ( aElementOf0 @ SV106 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(952,plain,
! [SV69: $i] :
( ( ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(953,plain,
! [SV69: $i] :
( ( ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(954,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(955,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(956,plain,
! [SV99: $i,SV95: $i] :
( ( ( aElementOf0 @ SV95 @ SV99 )
= $false )
| ( ( aElementOf0 @ SV99 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV95 ) )
= $true )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(957,plain,
! [SV100: $i] :
( ( ( ~ ( aElementOf0 @ ( sK12_W1 @ SV100 ) @ xS )
| ~ ( aElementOf0 @ SV100 @ ( sK12_W1 @ SV100 ) ) )
= $false )
| ( ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(958,plain,
! [SV48: $i] :
( ( ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) )
| ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(959,plain,
! [SV48: $i,SV107: $i] :
( ( ( ~ ( aElementOf0 @ SV107 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV107 @ ( smndt0 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(960,plain,
! [SV48: $i,SV103: $i] :
( ( ( aInteger0 @ SV103 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV103 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV103 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(961,plain,
! [SV48: $i,SV108: $i] :
( ( ( ~ ( aInteger0 @ SV108 )
| ! [SY217: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY217 )
!= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY217 ) )
| ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(962,plain,
! [SV48: $i,SV109: $i] :
( ( ( ~ ( aInteger0 @ SV109 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV109 @ ( smndt0 @ SV48 ) ) )
| ( aElementOf0 @ SV109 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(963,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(964,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(965,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(966,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(967,plain,
! [SV110: $i] :
( ( ~ ( aElementOf0 @ SV110 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SV110 @ sz10 @ xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(968,plain,
! [SV111: $i] :
( ( ~ ( aInteger0 @ SV111 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV111 @ sz10 @ xp )
| ( aElementOf0 @ SV111 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(969,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(970,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(971,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(972,plain,
! [SV69: $i] :
( ( ( ~ ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(973,plain,
! [SV69: $i,SV105: $i] :
( ( ( ~ ( aElementOf0 @ SV105 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV105 @ sz00 @ ( sK14_W1 @ SV69 ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(974,plain,
! [SV69: $i,SV106: $i] :
( ( ( ~ ( aInteger0 @ SV106 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV106 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV106 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(975,plain,
! [SV69: $i] :
( ( ( ~ ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[952]) ).
thf(976,plain,
! [SV69: $i] :
( ( ( ~ ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[952]) ).
thf(977,plain,
! [SV69: $i] :
( ( ( ~ ( ( ( sK14_W1 @ SV69 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(978,plain,
! [SV69: $i] :
( ( ( ~ ( aInteger0 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(979,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(980,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(981,plain,
! [SV99: $i,SV95: $i] :
( ( ( aInteger0 @ SV95 )
= $false )
| ( ( aElementOf0 @ SV99 @ xS )
= $false )
| ( ( aElementOf0 @ SV95 @ SV99 )
= $false )
| ( ( aElementOf0 @ SV95 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(982,plain,
! [SV100: $i] :
( ( ( ~ ( aElementOf0 @ ( sK12_W1 @ SV100 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(983,plain,
! [SV100: $i] :
( ( ( ~ ( aElementOf0 @ SV100 @ ( sK12_W1 @ SV100 ) ) )
= $false )
| ( ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(984,plain,
! [SV48: $i] :
( ( ( ~ ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(985,plain,
! [SV48: $i] :
( ( ( ~ ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(986,plain,
! [SV48: $i,SV107: $i] :
( ( ( ~ ( aElementOf0 @ SV107 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV107 @ ( smndt0 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(987,plain,
! [SV48: $i,SV103: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV103 @ SV48 @ ( sK10_W1 @ SV48 ) )
= $false )
| ( ( aInteger0 @ SV103 )
= $false )
| ( ( aElementOf0 @ SV103 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(988,plain,
! [SV48: $i,SV108: $i] :
( ( ( ~ ( aInteger0 @ SV108 )
| ! [SY217: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY217 )
!= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY217 ) ) )
= $true )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(989,plain,
! [SV48: $i,SV109: $i] :
( ( ( ~ ( aInteger0 @ SV109 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV109 @ ( smndt0 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV109 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(990,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(991,plain,
! [SV104: $i] :
( ( ( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(992,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(993,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(994,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[965]) ).
thf(995,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[965]) ).
thf(996,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(997,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(998,plain,
! [SV110: $i] :
( ( ( ~ ( aElementOf0 @ SV110 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV110 @ sz10 @ xp )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(999,plain,
! [SV111: $i] :
( ( ( ~ ( aInteger0 @ SV111 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV111 @ sz10 @ xp ) )
= $true )
| ( ( aElementOf0 @ SV111 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1000,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1001,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1002,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1003,plain,
! [SV69: $i] :
( ( ( ! [SY180: $i] :
( ~ ( aElementOf0 @ SY180 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY180 @ ( smndt0 @ sz00 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1004,plain,
! [SV69: $i,SV105: $i] :
( ( ( aElementOf0 @ SV105 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV105 @ sz00 @ ( sK14_W1 @ SV69 ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1005,plain,
! [SV69: $i,SV106: $i] :
( ( ( ~ ( aInteger0 @ SV106 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV106 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV106 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1006,plain,
! [SV69: $i] :
( ( ( ! [SY183: $i] :
( ~ ( aInteger0 @ SY183 )
| ! [SY184: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY184 )
!= ( sdtpldt0 @ SY183 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY184 ) )
| ( aElementOf0 @ SY183 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1007,plain,
! [SV69: $i] :
( ( ( ! [SY185: $i] :
( ~ ( aInteger0 @ SY185 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SY185 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY185 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1008,plain,
! [SV69: $i] :
( ( ( ( ( sK14_W1 @ SV69 )
!= sz00 ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1009,plain,
! [SV69: $i] :
( ( ( aInteger0 @ ( sK14_W1 @ SV69 ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1010,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1011,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1012,plain,
! [SV100: $i] :
( ( ( aElementOf0 @ ( sK12_W1 @ SV100 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1013,plain,
! [SV100: $i] :
( ( ( aElementOf0 @ SV100 @ ( sK12_W1 @ SV100 ) )
= $true )
| ( ( aElementOf0 @ SV100 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1014,plain,
! [SV48: $i] :
( ( ( ! [SY162: $i] :
( ~ ( aElementOf0 @ SY162 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SY162 @ SV48 ) )
!= ( sdtpldt0 @ SY162 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY162 @ SV48 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1015,plain,
! [SV48: $i] :
( ( ( ! [SY163: $i] :
( ~ ( aElementOf0 @ SY163 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SY163 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1016,plain,
! [SV48: $i,SV107: $i] :
( ( ( aElementOf0 @ SV107 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV107 @ ( smndt0 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1017,plain,
! [SV48: $i,SV108: $i] :
( ( ( ~ ( aInteger0 @ SV108 ) )
= $true )
| ( ( ! [SY217: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY217 )
!= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY217 ) ) )
= $true )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1018,plain,
! [SV48: $i,SV109: $i] :
( ( ( ~ ( aInteger0 @ SV109 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV109 @ ( smndt0 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV109 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1019,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1020,plain,
! [SV104: $i] :
( ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1021,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1022,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1023,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1024,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1025,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1026,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1027,plain,
! [SV110: $i] :
( ( ( aElementOf0 @ SV110 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV110 @ sz10 @ xp )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1028,plain,
! [SV111: $i] :
( ( ( ~ ( aInteger0 @ SV111 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV111 @ sz10 @ xp ) )
= $true )
| ( ( aElementOf0 @ SV111 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1029,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1030,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1031,plain,
! [SV69: $i] :
( ( ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) )
| ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1032,plain,
! [SV69: $i,SV112: $i] :
( ( ( ~ ( aElementOf0 @ SV112 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV112 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1033,plain,
! [SV69: $i,SV106: $i] :
( ( ( aInteger0 @ SV106 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV106 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV106 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1034,plain,
! [SV69: $i,SV113: $i] :
( ( ( ~ ( aInteger0 @ SV113 )
| ! [SY218: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY218 )
!= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY218 ) )
| ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1035,plain,
! [SV69: $i,SV114: $i] :
( ( ( ~ ( aInteger0 @ SV114 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV114 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SV114 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1036,plain,
! [SV69: $i] :
( ( ( ( sK14_W1 @ SV69 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1037,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1038,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1039,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1040,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1041,plain,
! [SV48: $i,SV115: $i] :
( ( ( ~ ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SV115 @ SV48 ) )
!= ( sdtpldt0 @ SV115 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV115 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1042,plain,
! [SV48: $i,SV116: $i] :
( ( ( ~ ( aElementOf0 @ SV116 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
| ( aInteger0 @ SV116 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1043,plain,
! [SV48: $i,SV108: $i] :
( ( ( aInteger0 @ SV108 )
= $false )
| ( ( ! [SY217: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SY217 )
!= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SY217 ) ) )
= $true )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1044,plain,
! [SV48: $i,SV109: $i] :
( ( ( aInteger0 @ SV109 )
= $false )
| ( ( ~ ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV109 @ ( smndt0 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV109 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1045,plain,
! [SV104: $i] :
( ( ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1046,plain,
! [SV117: $i] :
( ( ~ ( aInteger0 @ SV117 )
| ( aElementOf0 @ SV117 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV117 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1047,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1048,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1049,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1050,plain,
! [SV118: $i] :
( ( ~ ( aElementOf0 @ SV118 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV118 @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1051,plain,
! [SV111: $i] :
( ( ( aInteger0 @ SV111 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV111 @ sz10 @ xp ) )
= $true )
| ( ( aElementOf0 @ SV111 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1052,plain,
! [SV119: $i] :
( ( ~ ( aInteger0 @ SV119 )
| ! [SY219: $i] :
( ( ( sdtasdt0 @ xp @ SY219 )
!= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY219 ) )
| ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1053,plain,
! [SV120: $i] :
( ( ~ ( aInteger0 @ SV120 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV120 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SV120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1054,plain,
! [SV69: $i] :
( ( ( ~ ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1055,plain,
! [SV69: $i] :
( ( ( ~ ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1056,plain,
! [SV69: $i,SV112: $i] :
( ( ( ~ ( aElementOf0 @ SV112 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV112 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1057,plain,
! [SV69: $i,SV106: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV106 @ sz00 @ ( sK14_W1 @ SV69 ) )
= $false )
| ( ( aInteger0 @ SV106 )
= $false )
| ( ( aElementOf0 @ SV106 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1058,plain,
! [SV69: $i,SV113: $i] :
( ( ( ~ ( aInteger0 @ SV113 )
| ! [SY218: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY218 )
!= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY218 ) ) )
= $true )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1059,plain,
! [SV69: $i,SV114: $i] :
( ( ( ~ ( aInteger0 @ SV114 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV114 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV114 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1060,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1061,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY202: $i] :
( ~ ( aElementOf0 @ SY202 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY202 @ sz00 @ SV93 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1062,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY203: $i] :
( ~ ( aInteger0 @ SY203 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY203 @ sz00 @ SV93 )
| ( aElementOf0 @ SY203 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1063,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1064,plain,
! [SV48: $i,SV115: $i] :
( ( ( ~ ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SV115 @ SV48 ) )
!= ( sdtpldt0 @ SV115 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV115 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1065,plain,
! [SV48: $i,SV116: $i] :
( ( ( ~ ( aElementOf0 @ SV116 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) ) )
= $true )
| ( ( aInteger0 @ SV116 )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1066,plain,
! [SV108: $i,SV121: $i,SV48: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SV121 )
!= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ SV121 ) )
= $true )
| ( ( aInteger0 @ SV108 )
= $false )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1067,plain,
! [SV109: $i,SV48: $i] :
( ( ( aDivisorOf0 @ ( sK10_W1 @ SV48 ) @ ( sdtpldt0 @ SV109 @ ( smndt0 @ SV48 ) ) )
= $false )
| ( ( aInteger0 @ SV109 )
= $false )
| ( ( aElementOf0 @ SV109 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1068,plain,
! [SV104: $i] :
( ( ( ~ ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1069,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1070,plain,
! [SV117: $i] :
( ( ( ~ ( aInteger0 @ SV117 )
| ( aElementOf0 @ SV117 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV117 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1071,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1072,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1073,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1074,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1075,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1076,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1077,plain,
! [SV118: $i] :
( ( ( ~ ( aElementOf0 @ SV118 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV118 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1078,plain,
! [SV111: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV111 @ sz10 @ xp )
= $false )
| ( ( aInteger0 @ SV111 )
= $false )
| ( ( aElementOf0 @ SV111 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1079,plain,
! [SV119: $i] :
( ( ( ~ ( aInteger0 @ SV119 )
| ! [SY219: $i] :
( ( ( sdtasdt0 @ xp @ SY219 )
!= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY219 ) ) )
= $true )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1080,plain,
! [SV120: $i] :
( ( ( ~ ( aInteger0 @ SV120 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV120 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1081,plain,
! [SV69: $i] :
( ( ( ! [SY178: $i] :
( ~ ( aElementOf0 @ SY178 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SY178 @ SV69 ) )
!= ( sdtpldt0 @ SY178 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY178 @ SV69 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1082,plain,
! [SV69: $i] :
( ( ( ! [SY179: $i] :
( ~ ( aElementOf0 @ SY179 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SY179 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1083,plain,
! [SV69: $i,SV112: $i] :
( ( ( aElementOf0 @ SV112 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV112 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1084,plain,
! [SV69: $i,SV113: $i] :
( ( ( ~ ( aInteger0 @ SV113 ) )
= $true )
| ( ( ! [SY218: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY218 )
!= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY218 ) ) )
= $true )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1085,plain,
! [SV69: $i,SV114: $i] :
( ( ( ~ ( aInteger0 @ SV114 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV114 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV114 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1086,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1087,plain,
! [SV70: $i,SV93: $i,SV122: $i] :
( ( ( ~ ( aElementOf0 @ SV122 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV122 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1088,plain,
! [SV70: $i,SV93: $i,SV123: $i] :
( ( ( ~ ( aInteger0 @ SV123 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV123 @ sz00 @ SV93 )
| ( aElementOf0 @ SV123 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1089,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
| ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1090,plain,
! [SV48: $i,SV115: $i] :
( ( ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SV115 @ SV48 ) )
!= ( sdtpldt0 @ SV115 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV115 @ SV48 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1091,plain,
! [SV48: $i,SV116: $i] :
( ( ( aElementOf0 @ SV116 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aInteger0 @ SV116 )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1092,plain,
! [SV108: $i,SV121: $i,SV48: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SV121 )
!= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV121 ) )
= $true )
| ( ( aInteger0 @ SV108 )
= $false )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1093,plain,
! [SV104: $i] :
( ( ( ! [SY208: $i] :
( ~ ( aElementOf0 @ SY208 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SY208 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1094,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1095,plain,
! [SV117: $i] :
( ( ( ~ ( aInteger0 @ SV117 ) )
= $true )
| ( ( aElementOf0 @ SV117 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV117 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1096,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1097,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1098,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1099,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1100,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1101,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1102,plain,
! [SV118: $i] :
( ( ( aElementOf0 @ SV118 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV118 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1103,plain,
! [SV119: $i] :
( ( ( ~ ( aInteger0 @ SV119 ) )
= $true )
| ( ( ! [SY219: $i] :
( ( ( sdtasdt0 @ xp @ SY219 )
!= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY219 ) ) )
= $true )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1104,plain,
! [SV120: $i] :
( ( ( ~ ( aInteger0 @ SV120 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV120 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1105,plain,
! [SV69: $i,SV124: $i] :
( ( ( ~ ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SV124 @ SV69 ) )
!= ( sdtpldt0 @ SV124 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV124 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1106,plain,
! [SV69: $i,SV125: $i] :
( ( ( ~ ( aElementOf0 @ SV125 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
| ( aInteger0 @ SV125 ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1107,plain,
! [SV69: $i,SV113: $i] :
( ( ( aInteger0 @ SV113 )
= $false )
| ( ( ! [SY218: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SY218 )
!= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY218 ) ) )
= $true )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1108,plain,
! [SV69: $i,SV114: $i] :
( ( ( aInteger0 @ SV114 )
= $false )
| ( ( ~ ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV114 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV114 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1109,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1110,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1111,plain,
! [SV70: $i,SV93: $i,SV122: $i] :
( ( ( ~ ( aElementOf0 @ SV122 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV122 @ sz00 @ SV93 )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1112,plain,
! [SV70: $i,SV93: $i,SV123: $i] :
( ( ( ~ ( aInteger0 @ SV123 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV123 @ sz00 @ SV93 ) )
= $true )
| ( ( aElementOf0 @ SV123 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1113,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1114,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1115,plain,
! [SV115: $i,SV48: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SV115 @ SV48 ) )
!= ( sdtpldt0 @ SV115 @ ( smndt0 @ SV48 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV115 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1116,plain,
! [SV108: $i,SV121: $i,SV48: $i] :
( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SV121 )
= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV121 ) )
= $true )
| ( ( aInteger0 @ SV108 )
= $false )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1117,plain,
! [SV104: $i,SV126: $i] :
( ( ( ~ ( aElementOf0 @ SV126 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aElementOf0 @ SV126 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1118,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1119,plain,
! [SV117: $i] :
( ( ( aInteger0 @ SV117 )
= $false )
| ( ( aElementOf0 @ SV117 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV117 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1120,plain,
! [SV127: $i] :
( ( ~ ( aElementOf0 @ SV127 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1121,plain,
! [SV128: $i] :
( ( ~ ( aElementOf0 @ SV128 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV128 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1122,plain,
! [SV129: $i] :
( ( ! [SY220: $i] :
( ~ ( aElementOf0 @ SY220 @ xS )
| ~ ( aElementOf0 @ SV129 @ SY220 ) )
| ~ ( aInteger0 @ SV129 )
| ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1123,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1124,plain,
! [SV130: $i] :
( ( ~ ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV130 ) )
!= ( sdtpldt0 @ SV130 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1125,plain,
! [SV131: $i] :
( ( ~ ( aElementOf0 @ SV131 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1126,plain,
! [SV119: $i] :
( ( ( aInteger0 @ SV119 )
= $false )
| ( ( ! [SY219: $i] :
( ( ( sdtasdt0 @ xp @ SY219 )
!= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY219 ) ) )
= $true )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1127,plain,
! [SV120: $i] :
( ( ( aInteger0 @ SV120 )
= $false )
| ( ( ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV120 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1128,plain,
! [SV69: $i,SV124: $i] :
( ( ( ~ ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SV124 @ SV69 ) )
!= ( sdtpldt0 @ SV124 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV124 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1129,plain,
! [SV69: $i,SV125: $i] :
( ( ( ~ ( aElementOf0 @ SV125 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) ) )
= $true )
| ( ( aInteger0 @ SV125 )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1130,plain,
! [SV113: $i,SV132: $i,SV69: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SV132 )
!= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SV132 ) )
= $true )
| ( ( aInteger0 @ SV113 )
= $false )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1131,plain,
! [SV114: $i,SV69: $i] :
( ( ( aDivisorOf0 @ ( sK14_W1 @ SV69 ) @ ( sdtpldt0 @ SV114 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV114 )
= $false )
| ( ( aElementOf0 @ SV114 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1132,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1133,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY201: $i] :
( ~ ( aElementOf0 @ SY201 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY201 @ ( smndt0 @ sz00 ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1134,plain,
! [SV70: $i,SV93: $i,SV122: $i] :
( ( ( aElementOf0 @ SV122 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV122 @ sz00 @ SV93 )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1135,plain,
! [SV70: $i,SV93: $i,SV123: $i] :
( ( ( ~ ( aInteger0 @ SV123 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV123 @ sz00 @ SV93 ) )
= $true )
| ( ( aElementOf0 @ SV123 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1136,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY204: $i] :
( ~ ( aInteger0 @ SY204 )
| ! [SY205: $i] :
( ( ( sdtasdt0 @ SV93 @ SY205 )
!= ( sdtpldt0 @ SY204 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY205 ) )
| ( aElementOf0 @ SY204 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1137,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY206: $i] :
( ~ ( aInteger0 @ SY206 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SY206 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY206 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1138,plain,
! [SV115: $i,SV48: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SV115 @ SV48 ) )
!= ( sdtpldt0 @ SV115 @ ( smndt0 @ SV48 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1139,plain,
! [SV48: $i,SV115: $i] :
( ( ( ~ ( aInteger0 @ ( sK11_SY108 @ SV115 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1140,plain,
! [SV108: $i,SV48: $i,SV121: $i] :
( ( ( aInteger0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ SV121 )
= ( sdtpldt0 @ SV108 @ ( smndt0 @ SV48 ) ) )
= $false )
| ( ( aInteger0 @ SV108 )
= $false )
| ( ( aElementOf0 @ SV108 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1141,plain,
! [SV104: $i,SV126: $i] :
( ( ( ~ ( aElementOf0 @ SV126 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV126 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1142,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1143,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1144,plain,
! [SV127: $i] :
( ( ( ~ ( aElementOf0 @ SV127 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1145,plain,
! [SV128: $i] :
( ( ( ~ ( aElementOf0 @ SV128 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV128 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1146,plain,
! [SV129: $i] :
( ( ( ! [SY220: $i] :
( ~ ( aElementOf0 @ SY220 @ xS )
| ~ ( aElementOf0 @ SV129 @ SY220 ) )
| ~ ( aInteger0 @ SV129 ) )
= $true )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1147,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1148,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1149,plain,
! [SV130: $i] :
( ( ( ~ ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV130 ) )
!= ( sdtpldt0 @ SV130 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV130 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1150,plain,
! [SV131: $i] :
( ( ( ~ ( aElementOf0 @ SV131 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( aInteger0 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1151,plain,
! [SV119: $i,SV133: $i] :
( ( ( ( ( sdtasdt0 @ xp @ SV133 )
!= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SV133 ) )
= $true )
| ( ( aInteger0 @ SV119 )
= $false )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1152,plain,
! [SV120: $i] :
( ( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV120 @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( aInteger0 @ SV120 )
= $false )
| ( ( aElementOf0 @ SV120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1153,plain,
! [SV69: $i,SV124: $i] :
( ( ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SV124 @ SV69 ) )
!= ( sdtpldt0 @ SV124 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV124 @ SV69 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1154,plain,
! [SV69: $i,SV125: $i] :
( ( ( aElementOf0 @ SV125 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aInteger0 @ SV125 )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1155,plain,
! [SV113: $i,SV132: $i,SV69: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SV132 )
!= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV132 ) )
= $true )
| ( ( aInteger0 @ SV113 )
= $false )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1156,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) )
| ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1157,plain,
! [SV70: $i,SV93: $i,SV134: $i] :
( ( ( ~ ( aElementOf0 @ SV134 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV134 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1158,plain,
! [SV70: $i,SV93: $i,SV123: $i] :
( ( ( aInteger0 @ SV123 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV123 @ sz00 @ SV93 ) )
= $true )
| ( ( aElementOf0 @ SV123 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1159,plain,
! [SV70: $i,SV93: $i,SV135: $i] :
( ( ( ~ ( aInteger0 @ SV135 )
| ! [SY221: $i] :
( ( ( sdtasdt0 @ SV93 @ SY221 )
!= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY221 ) )
| ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1160,plain,
! [SV70: $i,SV93: $i,SV136: $i] :
( ( ( ~ ( aInteger0 @ SV136 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV136 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SV136 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1161,plain,
! [SV115: $i,SV48: $i] :
( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV48 ) @ ( sK11_SY108 @ SV115 @ SV48 ) )
= ( sdtpldt0 @ SV115 @ ( smndt0 @ SV48 ) ) )
= $true )
| ( ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1162,plain,
! [SV48: $i,SV115: $i] :
( ( ( aInteger0 @ ( sK11_SY108 @ SV115 @ SV48 ) )
= $true )
| ( ( aElementOf0 @ SV115 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV48 @ ( sK10_W1 @ SV48 ) ) )
= $false )
| ( ( aElementOf0 @ SV48 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1163,plain,
! [SV104: $i,SV126: $i] :
( ( ( aElementOf0 @ SV126 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV126 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1164,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1165,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1166,plain,
! [SV127: $i] :
( ( ( aElementOf0 @ SV127 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1167,plain,
! [SV128: $i] :
( ( ( aElementOf0 @ SV128 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV128 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1168,plain,
! [SV129: $i] :
( ( ( ! [SY220: $i] :
( ~ ( aElementOf0 @ SY220 @ xS )
| ~ ( aElementOf0 @ SV129 @ SY220 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV129 ) )
= $true )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1146]) ).
thf(1169,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1170,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1171,plain,
! [SV130: $i] :
( ( ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV130 ) )
!= ( sdtpldt0 @ SV130 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV130 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1172,plain,
! [SV131: $i] :
( ( ( aElementOf0 @ SV131 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( aInteger0 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1173,plain,
! [SV119: $i,SV133: $i] :
( ( ( ( ( sdtasdt0 @ xp @ SV133 )
!= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV133 ) )
= $true )
| ( ( aInteger0 @ SV119 )
= $false )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1174,plain,
! [SV124: $i,SV69: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SV124 @ SV69 ) )
!= ( sdtpldt0 @ SV124 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV124 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1175,plain,
! [SV113: $i,SV132: $i,SV69: $i] :
( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SV132 )
= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV132 ) )
= $true )
| ( ( aInteger0 @ SV113 )
= $false )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1176,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1177,plain,
! [SV70: $i,SV93: $i] :
( ( ( ~ ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1178,plain,
! [SV70: $i,SV93: $i,SV134: $i] :
( ( ( ~ ( aElementOf0 @ SV134 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV134 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1179,plain,
! [SV70: $i,SV93: $i,SV123: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV123 @ sz00 @ SV93 )
= $false )
| ( ( aInteger0 @ SV123 )
= $false )
| ( ( aElementOf0 @ SV123 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1180,plain,
! [SV70: $i,SV93: $i,SV135: $i] :
( ( ( ~ ( aInteger0 @ SV135 )
| ! [SY221: $i] :
( ( ( sdtasdt0 @ SV93 @ SY221 )
!= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY221 ) ) )
= $true )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1181,plain,
! [SV70: $i,SV93: $i,SV136: $i] :
( ( ( ~ ( aInteger0 @ SV136 )
| ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV136 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV136 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1182,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1183,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1184,plain,
! [SV128: $i] :
( ( ( aElementOf0 @ SV128 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV128 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1185,plain,
! [SV129: $i,SV137: $i] :
( ( ( ~ ( aElementOf0 @ SV137 @ xS )
| ~ ( aElementOf0 @ SV129 @ SV137 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV129 ) )
= $true )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1186,plain,
! [SV138: $i] :
( ( ~ ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SV138 ) @ xS )
| ~ ( aElementOf0 @ SV138 @ ( sK6_W1 @ SV138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1187,plain,
! [SV139: $i] :
( ( ~ ( aElementOf0 @ SV139 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1188,plain,
! [SV130: $i] :
( ( ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV130 ) )
!= ( sdtpldt0 @ SV130 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV130 ) ) )
= $false )
| ( ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1189,plain,
! [SV119: $i,SV133: $i] :
( ( ( ( sdtasdt0 @ xp @ SV133 )
= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV133 ) )
= $true )
| ( ( aInteger0 @ SV119 )
= $false )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1190,plain,
! [SV124: $i,SV69: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SV124 @ SV69 ) )
!= ( sdtpldt0 @ SV124 @ ( smndt0 @ sz00 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1191,plain,
! [SV69: $i,SV124: $i] :
( ( ( ~ ( aInteger0 @ ( sK15_SY117 @ SV124 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1192,plain,
! [SV113: $i,SV69: $i,SV132: $i] :
( ( ( aInteger0 @ SV132 )
= $false )
| ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ SV132 )
= ( sdtpldt0 @ SV113 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV113 )
= $false )
| ( ( aElementOf0 @ SV113 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $true )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1193,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY199: $i] :
( ~ ( aElementOf0 @ SY199 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SY199 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY199 @ SV93 @ SV70 ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1194,plain,
! [SV70: $i,SV93: $i] :
( ( ( ! [SY200: $i] :
( ~ ( aElementOf0 @ SY200 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SY200 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1195,plain,
! [SV70: $i,SV93: $i,SV134: $i] :
( ( ( aElementOf0 @ SV134 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV134 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1196,plain,
! [SV70: $i,SV93: $i,SV135: $i] :
( ( ( ~ ( aInteger0 @ SV135 ) )
= $true )
| ( ( ! [SY221: $i] :
( ( ( sdtasdt0 @ SV93 @ SY221 )
!= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY221 ) ) )
= $true )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1197,plain,
! [SV70: $i,SV93: $i,SV136: $i] :
( ( ( ~ ( aInteger0 @ SV136 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV136 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV136 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1198,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1199,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1200,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1201,plain,
! [SV104: $i] :
( ( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1202,plain,
! [SV129: $i,SV137: $i] :
( ( ( ~ ( aElementOf0 @ SV137 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV129 @ SV137 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV129 ) )
= $true )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1203,plain,
! [SV138: $i] :
( ( ( ~ ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SV138 ) @ xS )
| ~ ( aElementOf0 @ SV138 @ ( sK6_W1 @ SV138 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1204,plain,
! [SV139: $i] :
( ( ( ~ ( aElementOf0 @ SV139 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1205,plain,
! [SV130: $i] :
( ( ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV130 ) )
!= ( sdtpldt0 @ SV130 @ ( smndt0 @ sz10 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1206,plain,
! [SV130: $i] :
( ( ( ~ ( aInteger0 @ ( sK4_W1 @ SV130 ) ) )
= $false )
| ( ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1207,plain,
! [SV119: $i,SV133: $i] :
( ( ( aInteger0 @ SV133 )
= $false )
| ( ( ( sdtasdt0 @ xp @ SV133 )
= ( sdtpldt0 @ SV119 @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( aInteger0 @ SV119 )
= $false )
| ( ( aElementOf0 @ SV119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1208,plain,
! [SV124: $i,SV69: $i] :
( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV69 ) @ ( sK15_SY117 @ SV124 @ SV69 ) )
= ( sdtpldt0 @ SV124 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1209,plain,
! [SV69: $i,SV124: $i] :
( ( ( aInteger0 @ ( sK15_SY117 @ SV124 @ SV69 ) )
= $true )
| ( ( aElementOf0 @ SV124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV69 ) ) )
= $false )
| ( ( aElementOf0 @ SV69 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1210,plain,
! [SV70: $i,SV93: $i,SV140: $i] :
( ( ( ~ ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SV140 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1211,plain,
! [SV70: $i,SV93: $i,SV141: $i] :
( ( ( ~ ( aElementOf0 @ SV141 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
| ( aInteger0 @ SV141 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1212,plain,
! [SV70: $i,SV93: $i,SV135: $i] :
( ( ( aInteger0 @ SV135 )
= $false )
| ( ( ! [SY221: $i] :
( ( ( sdtasdt0 @ SV93 @ SY221 )
!= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY221 ) ) )
= $true )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1213,plain,
! [SV70: $i,SV93: $i,SV136: $i] :
( ( ( aInteger0 @ SV136 )
= $false )
| ( ( ~ ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV136 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV136 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1214,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1215,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1216,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1217,plain,
! [SV104: $i] :
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1218,plain,
! [SV129: $i,SV137: $i] :
( ( ( aElementOf0 @ SV137 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV129 @ SV137 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV129 ) )
= $true )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1219,plain,
! [SV138: $i] :
( ( ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SV138 ) @ xS )
| ~ ( aElementOf0 @ SV138 @ ( sK6_W1 @ SV138 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1220,plain,
! [SV139: $i] :
( ( ( aElementOf0 @ SV139 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1221,plain,
! [SV130: $i] :
( ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV130 ) )
= ( sdtpldt0 @ SV130 @ ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1222,plain,
! [SV130: $i] :
( ( ( aInteger0 @ ( sK4_W1 @ SV130 ) )
= $true )
| ( ( aElementOf0 @ SV130 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1223,plain,
! [SV70: $i,SV93: $i,SV140: $i] :
( ( ( ~ ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SV140 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1224,plain,
! [SV70: $i,SV93: $i,SV141: $i] :
( ( ( ~ ( aElementOf0 @ SV141 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) ) )
= $true )
| ( ( aInteger0 @ SV141 )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1225,plain,
! [SV70: $i,SV135: $i,SV142: $i,SV93: $i] :
( ( ( ( ( sdtasdt0 @ SV93 @ SV142 )
!= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SV142 ) )
= $true )
| ( ( aInteger0 @ SV135 )
= $false )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1226,plain,
! [SV70: $i,SV136: $i,SV93: $i] :
( ( ( aDivisorOf0 @ SV93 @ ( sdtpldt0 @ SV136 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV136 )
= $false )
| ( ( aElementOf0 @ SV136 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1227,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
| ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1228,plain,
! [SV104: $i] :
( ( ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1229,plain,
! [SV104: $i] :
( ( ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1230,plain,
! [SV137: $i,SV129: $i] :
( ( ( aElementOf0 @ SV129 @ SV137 )
= $false )
| ( ( aElementOf0 @ SV137 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV129 ) )
= $true )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1231,plain,
! [SV138: $i] :
( ( ( ~ ( aElementOf0 @ ( sK6_W1 @ SV138 ) @ xS )
| ~ ( aElementOf0 @ SV138 @ ( sK6_W1 @ SV138 ) ) )
= $false )
| ( ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1232,plain,
! [SV70: $i,SV93: $i,SV140: $i] :
( ( ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SV140 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) ) ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1233,plain,
! [SV70: $i,SV93: $i,SV141: $i] :
( ( ( aElementOf0 @ SV141 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aInteger0 @ SV141 )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1234,plain,
! [SV70: $i,SV135: $i,SV142: $i,SV93: $i] :
( ( ( ( ( sdtasdt0 @ SV93 @ SV142 )
!= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV142 ) )
= $true )
| ( ( aInteger0 @ SV135 )
= $false )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1235,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1236,plain,
! [SV104: $i] :
( ( ( ~ ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1237,plain,
! [SV104: $i] :
( ( ( ~ ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1238,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1239,plain,
! [SV104: $i] :
( ( ( ~ ( ( ( sK7_W1 @ SV104 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1240,plain,
! [SV104: $i] :
( ( ( ~ ( aInteger0 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1241,plain,
! [SV137: $i,SV129: $i] :
( ( ( aInteger0 @ SV129 )
= $false )
| ( ( aElementOf0 @ SV137 @ xS )
= $false )
| ( ( aElementOf0 @ SV129 @ SV137 )
= $false )
| ( ( aElementOf0 @ SV129 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1242,plain,
! [SV138: $i] :
( ( ( ~ ( aElementOf0 @ ( sK6_W1 @ SV138 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1243,plain,
! [SV138: $i] :
( ( ( ~ ( aElementOf0 @ SV138 @ ( sK6_W1 @ SV138 ) ) )
= $false )
| ( ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1244,plain,
! [SV70: $i,SV140: $i,SV93: $i] :
( ( ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SV140 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) ) )
= $false )
| ( ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1245,plain,
! [SV70: $i,SV135: $i,SV142: $i,SV93: $i] :
( ( ( ( sdtasdt0 @ SV93 @ SV142 )
= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV142 ) )
= $true )
| ( ( aInteger0 @ SV135 )
= $false )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1246,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1247,plain,
! [SV104: $i] :
( ( ( ! [SY212: $i] :
( ~ ( aElementOf0 @ SY212 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY212 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1248,plain,
! [SV104: $i] :
( ( ( ! [SY213: $i] :
( ~ ( aInteger0 @ SY213 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY213 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SY213 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1249,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1250,plain,
! [SV104: $i] :
( ( ( ( ( sK7_W1 @ SV104 )
!= sz00 ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1251,plain,
! [SV104: $i] :
( ( ( aInteger0 @ ( sK7_W1 @ SV104 ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1252,plain,
! [SV138: $i] :
( ( ( aElementOf0 @ ( sK6_W1 @ SV138 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1253,plain,
! [SV138: $i] :
( ( ( aElementOf0 @ SV138 @ ( sK6_W1 @ SV138 ) )
= $true )
| ( ( aElementOf0 @ SV138 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1254,plain,
! [SV70: $i,SV140: $i,SV93: $i] :
( ( ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
!= ( sdtpldt0 @ SV140 @ ( smndt0 @ sz00 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1244]) ).
thf(1255,plain,
! [SV70: $i,SV93: $i,SV140: $i] :
( ( ( ~ ( aInteger0 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) ) )
= $false )
| ( ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1244]) ).
thf(1256,plain,
! [SV70: $i,SV135: $i,SV93: $i,SV142: $i] :
( ( ( aInteger0 @ SV142 )
= $false )
| ( ( ( sdtasdt0 @ SV93 @ SV142 )
= ( sdtpldt0 @ SV135 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV135 )
= $false )
| ( ( aElementOf0 @ SV135 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $true )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1257,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
| ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1258,plain,
! [SV104: $i,SV143: $i] :
( ( ( ~ ( aElementOf0 @ SV143 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SV143 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1259,plain,
! [SV104: $i,SV144: $i] :
( ( ( ~ ( aInteger0 @ SV144 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV144 @ SV104 @ ( sK7_W1 @ SV104 ) )
| ( aElementOf0 @ SV144 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1260,plain,
! [SV104: $i] :
( ( ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
| ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1261,plain,
! [SV104: $i] :
( ( ( ( sK7_W1 @ SV104 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1262,plain,
! [SV70: $i,SV140: $i,SV93: $i] :
( ( ( ( sdtasdt0 @ SV93 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
= ( sdtpldt0 @ SV140 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1263,plain,
! [SV70: $i,SV93: $i,SV140: $i] :
( ( ( aInteger0 @ ( sK13_W3 @ SV140 @ SV93 @ SV70 ) )
= $true )
| ( ( aElementOf0 @ SV140 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV93 ) )
= $false )
| ( ( aInteger0 @ SV93 )
= $false )
| ( ( SV93 = sz00 )
= $true )
| ( ( isPrime0 @ SV93 )
= $false )
| ( ( aElementOf0 @ SV70 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1264,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1257]) ).
thf(1265,plain,
! [SV104: $i] :
( ( ( ~ ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1257]) ).
thf(1266,plain,
! [SV104: $i,SV143: $i] :
( ( ( ~ ( aElementOf0 @ SV143 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV143 @ SV104 @ ( sK7_W1 @ SV104 ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1258]) ).
thf(1267,plain,
! [SV104: $i,SV144: $i] :
( ( ( ~ ( aInteger0 @ SV144 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV144 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV144 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1268,plain,
! [SV104: $i] :
( ( ( ~ ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1269,plain,
! [SV104: $i] :
( ( ( ~ ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1270,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1271,plain,
! [SV104: $i] :
( ( ( ! [SY211: $i] :
( ~ ( aElementOf0 @ SY211 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY211 @ ( smndt0 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1272,plain,
! [SV104: $i,SV143: $i] :
( ( ( aElementOf0 @ SV143 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV143 @ SV104 @ ( sK7_W1 @ SV104 ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1273,plain,
! [SV104: $i,SV144: $i] :
( ( ( ~ ( aInteger0 @ SV144 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV144 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV144 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1274,plain,
! [SV104: $i] :
( ( ( ! [SY214: $i] :
( ~ ( aInteger0 @ SY214 )
| ! [SY215: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY215 )
!= ( sdtpldt0 @ SY214 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY215 ) )
| ( aElementOf0 @ SY214 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1275,plain,
! [SV104: $i] :
( ( ( ! [SY216: $i] :
( ~ ( aInteger0 @ SY216 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SY216 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SY216 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1276,plain,
! [SV104: $i] :
( ( ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) )
| ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1277,plain,
! [SV104: $i,SV145: $i] :
( ( ( ~ ( aElementOf0 @ SV145 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV145 @ ( smndt0 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1278,plain,
! [SV104: $i,SV144: $i] :
( ( ( aInteger0 @ SV144 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV144 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV144 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1279,plain,
! [SV104: $i,SV146: $i] :
( ( ( ~ ( aInteger0 @ SV146 )
| ! [SY222: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY222 )
!= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY222 ) )
| ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1280,plain,
! [SV104: $i,SV147: $i] :
( ( ( ~ ( aInteger0 @ SV147 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV147 @ ( smndt0 @ SV104 ) ) )
| ( aElementOf0 @ SV147 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1281,plain,
! [SV104: $i] :
( ( ( ~ ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1282,plain,
! [SV104: $i] :
( ( ( ~ ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1283,plain,
! [SV104: $i,SV145: $i] :
( ( ( ~ ( aElementOf0 @ SV145 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV145 @ ( smndt0 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1284,plain,
! [SV104: $i,SV144: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV144 @ SV104 @ ( sK7_W1 @ SV104 ) )
= $false )
| ( ( aInteger0 @ SV144 )
= $false )
| ( ( aElementOf0 @ SV144 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1285,plain,
! [SV104: $i,SV146: $i] :
( ( ( ~ ( aInteger0 @ SV146 )
| ! [SY222: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY222 )
!= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY222 ) ) )
= $true )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1286,plain,
! [SV104: $i,SV147: $i] :
( ( ( ~ ( aInteger0 @ SV147 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV147 @ ( smndt0 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV147 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1280]) ).
thf(1287,plain,
! [SV104: $i] :
( ( ( ! [SY209: $i] :
( ~ ( aElementOf0 @ SY209 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SY209 @ SV104 ) )
!= ( sdtpldt0 @ SY209 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY209 @ SV104 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1288,plain,
! [SV104: $i] :
( ( ( ! [SY210: $i] :
( ~ ( aElementOf0 @ SY210 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SY210 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1289,plain,
! [SV104: $i,SV145: $i] :
( ( ( aElementOf0 @ SV145 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV145 @ ( smndt0 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1290,plain,
! [SV104: $i,SV146: $i] :
( ( ( ~ ( aInteger0 @ SV146 ) )
= $true )
| ( ( ! [SY222: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY222 )
!= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY222 ) ) )
= $true )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1291,plain,
! [SV104: $i,SV147: $i] :
( ( ( ~ ( aInteger0 @ SV147 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV147 @ ( smndt0 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV147 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1286]) ).
thf(1292,plain,
! [SV104: $i,SV148: $i] :
( ( ( ~ ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SV148 @ SV104 ) )
!= ( sdtpldt0 @ SV148 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV148 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1293,plain,
! [SV104: $i,SV149: $i] :
( ( ( ~ ( aElementOf0 @ SV149 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
| ( aInteger0 @ SV149 ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1294,plain,
! [SV104: $i,SV146: $i] :
( ( ( aInteger0 @ SV146 )
= $false )
| ( ( ! [SY222: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SY222 )
!= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SY222 ) ) )
= $true )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1295,plain,
! [SV104: $i,SV147: $i] :
( ( ( aInteger0 @ SV147 )
= $false )
| ( ( ~ ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV147 @ ( smndt0 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV147 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1296,plain,
! [SV104: $i,SV148: $i] :
( ( ( ~ ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SV148 @ SV104 ) )
!= ( sdtpldt0 @ SV148 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV148 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1297,plain,
! [SV104: $i,SV149: $i] :
( ( ( ~ ( aElementOf0 @ SV149 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) ) )
= $true )
| ( ( aInteger0 @ SV149 )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1293]) ).
thf(1298,plain,
! [SV146: $i,SV150: $i,SV104: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SV150 )
!= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ SV150 ) )
= $true )
| ( ( aInteger0 @ SV146 )
= $false )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1299,plain,
! [SV147: $i,SV104: $i] :
( ( ( aDivisorOf0 @ ( sK7_W1 @ SV104 ) @ ( sdtpldt0 @ SV147 @ ( smndt0 @ SV104 ) ) )
= $false )
| ( ( aInteger0 @ SV147 )
= $false )
| ( ( aElementOf0 @ SV147 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1300,plain,
! [SV104: $i,SV148: $i] :
( ( ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SV148 @ SV104 ) )
!= ( sdtpldt0 @ SV148 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV148 @ SV104 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1301,plain,
! [SV104: $i,SV149: $i] :
( ( ( aElementOf0 @ SV149 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aInteger0 @ SV149 )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1302,plain,
! [SV146: $i,SV150: $i,SV104: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SV150 )
!= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV150 ) )
= $true )
| ( ( aInteger0 @ SV146 )
= $false )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1303,plain,
! [SV148: $i,SV104: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SV148 @ SV104 ) )
!= ( sdtpldt0 @ SV148 @ ( smndt0 @ SV104 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV148 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1304,plain,
! [SV146: $i,SV150: $i,SV104: $i] :
( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SV150 )
= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV150 ) )
= $true )
| ( ( aInteger0 @ SV146 )
= $false )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1305,plain,
! [SV148: $i,SV104: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SV148 @ SV104 ) )
!= ( sdtpldt0 @ SV148 @ ( smndt0 @ SV104 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1306,plain,
! [SV104: $i,SV148: $i] :
( ( ( ~ ( aInteger0 @ ( sK8_SY98 @ SV148 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1307,plain,
! [SV146: $i,SV104: $i,SV150: $i] :
( ( ( aInteger0 @ SV150 )
= $false )
| ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ SV150 )
= ( sdtpldt0 @ SV146 @ ( smndt0 @ SV104 ) ) )
= $false )
| ( ( aInteger0 @ SV146 )
= $false )
| ( ( aElementOf0 @ SV146 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1308,plain,
! [SV148: $i,SV104: $i] :
( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV104 ) @ ( sK8_SY98 @ SV148 @ SV104 ) )
= ( sdtpldt0 @ SV148 @ ( smndt0 @ SV104 ) ) )
= $true )
| ( ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1309,plain,
! [SV104: $i,SV148: $i] :
( ( ( aInteger0 @ ( sK8_SY98 @ SV148 @ SV104 ) )
= $true )
| ( ( aElementOf0 @ SV148 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV104 @ ( sK7_W1 @ SV104 ) ) )
= $false )
| ( ( aElementOf0 @ SV104 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1306]) ).
thf(1310,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[117,1309,1308,1307,1301,1299,1289,1284,1272,1263,1262,1261,1256,1253,1252,1251,1241,1233,1226,1222,1221,1220,1217,1209,1208,1207,1195,1192,1184,1179,1172,1166,1163,1162,1161,1154,1152,1140,1134,1131,1119,1102,1091,1083,1078,1067,1057,1036,1027,1024,1020,1016,1013,1012,1009,1004,987,981,970,948,942,941,934,931,927,913,900,885,872,868,863,862,861,852,849,834,817,816,810,801,787,786,784,781,774,741,733,728,722,714,713,712,705,699,696,695,690,689,686,637,629,628,615,614,613,604,596,592,587,586,555,554,540,535,530,529,517,510,500,493,492,491,439,435,427,421,420,412,411,405,404,403,402,399,398,391,383,381,379,378,307,302,301,283,268,263,259,246,181,168,122,121]) ).
thf(1311,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ xS )
| ( ! [SY116: $i] :
( ~ ( aElementOf0 @ SY116 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK14_W1 @ W0 ) @ ( sK15_SY117 @ SY116 @ W0 ) )
= ( sdtpldt0 @ SY116 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ ( sK15_SY117 @ SY116 @ W0 ) ) ) )
& ! [SY118: $i] :
( ~ ( aElementOf0 @ SY118 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( aInteger0 @ SY118 ) )
& ! [SY119: $i] :
( ~ ( aElementOf0 @ SY119 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ W0 ) @ ( sdtpldt0 @ SY119 @ ( smndt0 @ sz00 ) ) ) )
& ! [SY120: $i] :
( ~ ( aElementOf0 @ SY120 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY120 @ sz00 @ ( sK14_W1 @ W0 ) ) )
& ! [SY121: $i] :
( ~ ( aInteger0 @ SY121 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY121 @ sz00 @ ( sK14_W1 @ W0 ) )
| ( aElementOf0 @ SY121 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ! [SY122: $i] :
( ~ ( aInteger0 @ SY122 )
| ! [SY123: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ W0 ) @ SY123 )
!= ( sdtpldt0 @ SY122 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY123 ) )
| ( aElementOf0 @ SY122 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ! [SY124: $i] :
( ~ ( aInteger0 @ SY124 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ W0 ) @ ( sdtpldt0 @ SY124 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY124 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) ) )
& ( ( sK14_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK14_W1 @ W0 ) )
& ( isPrime0 @ ( sK14_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) ) )
& ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ W0 ) )
= W0 ) ) )
& ! [W0: $i] :
( ( ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( ( ( sdtasdt0 @ W1 @ ( sK13_W3 @ W2 @ W1 @ W0 ) )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( aInteger0 @ W2 ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) )
& ! [W2: $i] :
( ~ ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
!= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ W3 ) )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aInteger0 @ W2 )
| ~ ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) ) )
& ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ! [W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W1 )
| ~ ( isPrime0 @ W1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
!= W0 ) ) )
| ( aElementOf0 @ W0 @ xS ) )
& ( aSet0 @ xS )
& ( xS = cS2043 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1312,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) )
& ! [W0: $i] :
( ( W0 != sz10 )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( W0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK12_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK12_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1313,plain,
( ( isFinite0 @ xS )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(1314,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( ! [SY106: $i] :
( ~ ( aElementOf0 @ SY106 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aElementOf0 @ SY106 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [SY107: $i] :
( ~ ( aElementOf0 @ SY107 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK10_W1 @ W0 ) @ ( sK11_SY108 @ SY107 @ W0 ) )
= ( sdtpldt0 @ SY107 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ ( sK11_SY108 @ SY107 @ W0 ) ) ) )
& ! [SY109: $i] :
( ~ ( aElementOf0 @ SY109 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aInteger0 @ SY109 ) )
& ! [SY110: $i] :
( ~ ( aElementOf0 @ SY110 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ W0 ) @ ( sdtpldt0 @ SY110 @ ( smndt0 @ W0 ) ) ) )
& ! [SY111: $i] :
( ~ ( aElementOf0 @ SY111 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY111 @ W0 @ ( sK10_W1 @ W0 ) ) )
& ! [SY112: $i] :
( ~ ( aInteger0 @ SY112 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY112 @ W0 @ ( sK10_W1 @ W0 ) )
| ( aElementOf0 @ SY112 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ! [SY113: $i] :
( ~ ( aInteger0 @ SY113 )
| ! [SY114: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ W0 ) @ SY114 )
!= ( sdtpldt0 @ SY113 @ ( smndt0 @ W0 ) ) )
| ~ ( aInteger0 @ SY114 ) )
| ( aElementOf0 @ SY113 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ! [SY115: $i] :
( ~ ( aInteger0 @ SY115 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ W0 ) @ ( sdtpldt0 @ SY115 @ ( smndt0 @ W0 ) ) )
| ( aElementOf0 @ SY115 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) ) )
& ( ( sK10_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK10_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK10_W1 @ W0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK9_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK9_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( ! [SY96: $i] :
( ~ ( aElementOf0 @ SY96 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aElementOf0 @ SY96 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [SY97: $i] :
( ~ ( aElementOf0 @ SY97 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( ( ( sdtasdt0 @ ( sK7_W1 @ W0 ) @ ( sK8_SY98 @ SY97 @ W0 ) )
= ( sdtpldt0 @ SY97 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ ( sK8_SY98 @ SY97 @ W0 ) ) ) )
& ! [SY99: $i] :
( ~ ( aElementOf0 @ SY99 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aInteger0 @ SY99 ) )
& ! [SY100: $i] :
( ~ ( aElementOf0 @ SY100 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ W0 ) @ ( sdtpldt0 @ SY100 @ ( smndt0 @ W0 ) ) ) )
& ! [SY101: $i] :
( ~ ( aElementOf0 @ SY101 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY101 @ W0 @ ( sK7_W1 @ W0 ) ) )
& ! [SY102: $i] :
( ~ ( aInteger0 @ SY102 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY102 @ W0 @ ( sK7_W1 @ W0 ) )
| ( aElementOf0 @ SY102 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ! [SY103: $i] :
( ~ ( aInteger0 @ SY103 )
| ! [SY104: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ W0 ) @ SY104 )
!= ( sdtpldt0 @ SY103 @ ( smndt0 @ W0 ) ) )
| ~ ( aInteger0 @ SY104 ) )
| ( aElementOf0 @ SY103 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ! [SY105: $i] :
( ~ ( aInteger0 @ SY105 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ W0 ) @ ( sdtpldt0 @ SY105 @ ( smndt0 @ W0 ) ) )
| ( aElementOf0 @ SY105 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) ) )
& ( ( sK7_W1 @ W0 )
!= sz00 )
& ( aInteger0 @ ( sK7_W1 @ W0 ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ ( sK7_W1 @ W0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK6_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK6_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1315,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ xS )
| ~ ( aElementOf0 @ W0 @ W1 ) )
| ~ ( aInteger0 @ W0 )
| ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( ( aElementOf0 @ ( sK5_W1 @ W0 ) @ xS )
& ( aElementOf0 @ W0 @ ( sK5_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ W0 ) )
= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ ( sK4_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ( ( sdtasdt0 @ xp @ W1 )
!= ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W1 ) )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
& ( xp != sz00 )
& ( aInteger0 @ xp )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1316,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1317,plain,
( ( aInteger0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(1318,plain,
( ( aInteger0 @ sz10 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(1319,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( aInteger0 @ ( smndt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1320,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1321,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1322,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1323,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1324,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1325,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1326,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1327,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1328,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1329,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1330,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(1331,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(1332,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1333,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1334,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
| ( sdteqdtlpzmzozddtrp0 @ W1 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1335,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W1 @ W3 @ W2 )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W3 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1336,plain,
( ( ! [W0: $i,W1: $i] :
( ! [W2: $i,W3: $i] :
( ( W3 = sz00 )
| ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 ) )
& ! [W2: $i,W3: $i] :
( ( W3 = sz00 )
| ( W2 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ~ ( aInteger0 @ W2 )
| ~ ( aInteger0 @ W3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ ( sdtasdt0 @ W2 @ W3 ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1337,plain,
( ( ! [W0: $i] :
( ( W0 = sz00 )
| ~ ( aInteger0 @ W0 ) )
| $true )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1338,plain,
( ( ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) )
| ( ( aDivisorOf0 @ ( sK3_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK3_W1 @ W0 ) ) ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ~ ( aDivisorOf0 @ W1 @ W0 )
| ~ ( isPrime0 @ W1 ) )
| ( W0 != sz10 ) )
& ! [W0: $i] :
( ~ ( aInteger0 @ W0 )
| ! [W1: $i] :
( ~ ( aDivisorOf0 @ W1 @ W0 )
| ~ ( isPrime0 @ W1 ) )
| ( W0
!= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1339,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1340,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| ! [W1: $i] : $true )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1341,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(1342,plain,
( ( ! [W0: $i] :
( ( ( aElementOf0 @ ( sK2_W1 @ W0 ) @ W0 )
& ( ~ ( aSubsetOf0 @ ( sK2_W1 @ W0 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ W0 ) ) ) )
| ~ ( aSet0 @ W0 )
| ( isOpen0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(1343,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSubsetOf0 @ W0 @ cS1395 )
| ~ ( aSubsetOf0 @ W1 @ cS1395 )
| ~ ( isOpen0 @ W0 )
| ~ ( isOpen0 @ W1 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(1344,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSubsetOf0 @ W0 @ cS1395 )
| ~ ( aSubsetOf0 @ W1 @ cS1395 )
| ~ ( isClosed0 @ W0 )
| ~ ( isClosed0 @ W1 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(1345,plain,
( ( ! [W0: $i] :
( ( ( aElementOf0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( ~ ( aSubsetOf0 @ ( sK1_W1 @ W0 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ W0 ) ) ) )
| ~ ( aSet0 @ W0 )
| ~ ( isFinite0 @ W0 )
| ( isClosed0 @ ( sbsmnsldt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(1346,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ cS1395 ) )
& ! [W0: $i,W1: $i] :
( ( W1 = sz00 )
| ~ ( aInteger0 @ W0 )
| ~ ( aInteger0 @ W1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(1347,plain,
( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
& ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
& ! [W0: $i] :
( ( ( sdtasdt0 @ xp @ W0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ W0 ) )
& ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(1348,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX2 ) @ ( sdtasdt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1329]) ).
thf(1349,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1324]) ).
thf(1350,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1331]) ).
thf(1351,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SX0 ) @ SX0 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SX0 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SX0 ) ) ) )
| ~ ( aSet0 @ SX0 )
| ~ ( isFinite0 @ SX0 )
| ( isClosed0 @ ( sbsmnsldt0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1345]) ).
thf(1352,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1314]) ).
thf(1353,plain,
( ( ~ ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1347]) ).
thf(1354,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
!= cS2076 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1312]) ).
thf(1355,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1330]) ).
thf(1356,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1338]) ).
thf(1357,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1346]) ).
thf(1358,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX3 = sz00 )
| ( SX2 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ~ ( aInteger0 @ SX3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ ( sdtasdt0 @ SX2 @ SX3 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX3 = sz00 )
| ( SX2 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ~ ( aInteger0 @ SX2 )
| ~ ( aInteger0 @ SX3 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ ( sdtasdt0 @ SX2 @ SX3 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1336]) ).
thf(1359,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1328]) ).
thf(1360,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1315]) ).
thf(1361,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1325]) ).
thf(1362,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SX0 ) @ SX0 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SX0 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SX0 ) ) ) )
| ~ ( aSet0 @ SX0 )
| ( isOpen0 @ ( sbsmnsldt0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1342]) ).
thf(1363,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) )
| ( xS != cS2043 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1311]) ).
thf(1364,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1365,plain,
! [SV152: $i] :
( ( ~ ( aInteger0 @ SV152 )
| ( aInteger0 @ ( smndt0 @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1366,plain,
! [SV153: $i] :
( ( ! [SY223: $i] :
( ~ ( aInteger0 @ SV153 )
| ~ ( aInteger0 @ SY223 )
| ( aInteger0 @ ( sdtpldt0 @ SV153 @ SY223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1367,plain,
! [SV154: $i] :
( ( ! [SY224: $i] :
( ~ ( aInteger0 @ SV154 )
| ~ ( aInteger0 @ SY224 )
| ( aInteger0 @ ( sdtasdt0 @ SV154 @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1368,plain,
! [SV155: $i] :
( ( ! [SY225: $i,SY226: $i] :
( ~ ( aInteger0 @ SV155 )
| ~ ( aInteger0 @ SY225 )
| ~ ( aInteger0 @ SY226 )
| ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SY225 @ SY226 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SY225 ) @ SY226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1369,plain,
! [SV156: $i] :
( ( ! [SY227: $i] :
( ~ ( aInteger0 @ SV156 )
| ~ ( aInteger0 @ SY227 )
| ( ( sdtpldt0 @ SV156 @ SY227 )
= ( sdtpldt0 @ SY227 @ SV156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1370,plain,
! [SV157: $i] :
( ( ! [SY228: $i,SY229: $i] :
( ~ ( aInteger0 @ SV157 )
| ~ ( aInteger0 @ SY228 )
| ~ ( aInteger0 @ SY229 )
| ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SY228 @ SY229 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SY228 ) @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1371,plain,
! [SV158: $i] :
( ( ! [SY230: $i] :
( ~ ( aInteger0 @ SV158 )
| ~ ( aInteger0 @ SY230 )
| ( ( sdtasdt0 @ SV158 @ SY230 )
= ( sdtasdt0 @ SY230 @ SV158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1372,plain,
! [SV159: $i] :
( ( ! [SY231: $i] :
( ~ ( aInteger0 @ SV159 )
| ~ ( aInteger0 @ SY231 )
| ( ( sdtasdt0 @ SV159 @ SY231 )
!= sz00 )
| ( SV159 = sz00 )
| ( SY231 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1373,plain,
! [SV160: $i] :
( ( ! [SY232: $i] :
( ( SY232 = sz00 )
| ~ ( aInteger0 @ SV160 )
| ~ ( aInteger0 @ SY232 )
| ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SY232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1374,plain,
! [SV161: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ( SY234 = sz00 )
| ~ ( aInteger0 @ SV161 )
| ~ ( aInteger0 @ SY233 )
| ~ ( aInteger0 @ SY234 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SY233 @ SY234 )
| ( sdteqdtlpzmzozddtrp0 @ SY233 @ SV161 @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1375,plain,
! [SV162: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i] :
( ( SY236 = sz00 )
| ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SY235 )
| ~ ( aInteger0 @ SY236 )
| ~ ( aInteger0 @ SY237 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SY235 @ SY236 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY235 @ SY237 @ SY236 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SY237 @ SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1376,plain,
( ( ( ! [W0: $i] :
( ( W0 = sz00 )
| ~ ( aInteger0 @ W0 ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1377,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1378,plain,
( ( ( ! [W0: $i] :
~ ( aSet0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] : $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1379,plain,
( ( ( ! [W0: $i] :
~ ( aSet0 @ W0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1380,plain,
! [SV164: $i] :
( ( ! [SY238: $i] :
( ~ ( aSubsetOf0 @ SV164 @ cS1395 )
| ~ ( aSubsetOf0 @ SY238 @ cS1395 )
| ~ ( isOpen0 @ SV164 )
| ~ ( isOpen0 @ SY238 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1381,plain,
! [SV165: $i] :
( ( ! [SY239: $i] :
( ~ ( aSubsetOf0 @ SV165 @ cS1395 )
| ~ ( aSubsetOf0 @ SY239 @ cS1395 )
| ~ ( isClosed0 @ SV165 )
| ~ ( isClosed0 @ SY239 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SY239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1382,plain,
! [SV166: $i] :
( ( ~ ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY240 )
| ~ ( aInteger0 @ SY241 )
| ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SY240 @ SY241 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY240 ) @ ( sdtasdt0 @ SV166 @ SY241 ) ) ) )
| ~ ! [SY242: $i,SY243: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY242 )
| ~ ( aInteger0 @ SY243 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SY242 ) @ SY243 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY243 ) @ ( sdtasdt0 @ SY242 @ SY243 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1383,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1384,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1385,plain,
! [SV167: $i] :
( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) ) )
| ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 )
| ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1386,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1387,plain,
( ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1388,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
!= cS2076 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1389,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1390,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1391,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1392,plain,
! [SV168: $i] :
( ( ! [SY244: $i] :
~ ( ~ ! [SY245: $i,SY246: $i] :
( ( SY246 = sz00 )
| ( SY245 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SY244 )
| ~ ( aInteger0 @ SY245 )
| ~ ( aInteger0 @ SY246 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SY244 @ ( sdtasdt0 @ SY245 @ SY246 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SY244 @ SY245 ) )
| ~ ! [SY247: $i,SY248: $i] :
( ( SY248 = sz00 )
| ( SY247 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SY244 )
| ~ ( aInteger0 @ SY247 )
| ~ ( aInteger0 @ SY248 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SY244 @ ( sdtasdt0 @ SY247 @ SY248 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SY244 @ SY248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1393,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1394,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1395,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1396,plain,
! [SV169: $i] :
( ( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) ) )
| ~ ( aSet0 @ SV169 )
| ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1397,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) )
| ( xS != cS2043 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1398,plain,
! [SV152: $i] :
( ( ( ~ ( aInteger0 @ SV152 ) )
= $true )
| ( ( aInteger0 @ ( smndt0 @ SV152 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1399,plain,
! [SV170: $i,SV153: $i] :
( ( ~ ( aInteger0 @ SV153 )
| ~ ( aInteger0 @ SV170 )
| ( aInteger0 @ ( sdtpldt0 @ SV153 @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1400,plain,
! [SV171: $i,SV154: $i] :
( ( ~ ( aInteger0 @ SV154 )
| ~ ( aInteger0 @ SV171 )
| ( aInteger0 @ ( sdtasdt0 @ SV154 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1401,plain,
! [SV172: $i,SV155: $i] :
( ( ! [SY249: $i] :
( ~ ( aInteger0 @ SV155 )
| ~ ( aInteger0 @ SV172 )
| ~ ( aInteger0 @ SY249 )
| ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SY249 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1402,plain,
! [SV173: $i,SV156: $i] :
( ( ~ ( aInteger0 @ SV156 )
| ~ ( aInteger0 @ SV173 )
| ( ( sdtpldt0 @ SV156 @ SV173 )
= ( sdtpldt0 @ SV173 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1403,plain,
! [SV174: $i,SV157: $i] :
( ( ! [SY250: $i] :
( ~ ( aInteger0 @ SV157 )
| ~ ( aInteger0 @ SV174 )
| ~ ( aInteger0 @ SY250 )
| ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SY250 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SY250 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1404,plain,
! [SV175: $i,SV158: $i] :
( ( ~ ( aInteger0 @ SV158 )
| ~ ( aInteger0 @ SV175 )
| ( ( sdtasdt0 @ SV158 @ SV175 )
= ( sdtasdt0 @ SV175 @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1405,plain,
! [SV176: $i,SV159: $i] :
( ( ~ ( aInteger0 @ SV159 )
| ~ ( aInteger0 @ SV176 )
| ( ( sdtasdt0 @ SV159 @ SV176 )
!= sz00 )
| ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1406,plain,
! [SV160: $i,SV177: $i] :
( ( ( SV177 = sz00 )
| ~ ( aInteger0 @ SV160 )
| ~ ( aInteger0 @ SV177 )
| ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SV177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1407,plain,
! [SV178: $i,SV161: $i] :
( ( ! [SY251: $i] :
( ( SY251 = sz00 )
| ~ ( aInteger0 @ SV161 )
| ~ ( aInteger0 @ SV178 )
| ~ ( aInteger0 @ SY251 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SY251 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1408,plain,
! [SV179: $i,SV162: $i] :
( ( ! [SY252: $i,SY253: $i] :
( ( SY252 = sz00 )
| ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 )
| ~ ( aInteger0 @ SY252 )
| ~ ( aInteger0 @ SY253 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SY252 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SY253 @ SY252 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SY253 @ SY252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1409,plain,
! [SV180: $i] :
( ( ( ( SV180 = sz00 )
| ~ ( aInteger0 @ SV180 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1410,plain,
! [SV181: $i] :
( ( ( ~ ( aSet0 @ SV181 ) )
= $true )
| ( ( ! [W1: $i] : $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1411,plain,
! [SV182: $i] :
( ( ( ~ ( aSet0 @ SV182 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1412,plain,
! [SV183: $i,SV164: $i] :
( ( ~ ( aSubsetOf0 @ SV164 @ cS1395 )
| ~ ( aSubsetOf0 @ SV183 @ cS1395 )
| ~ ( isOpen0 @ SV164 )
| ~ ( isOpen0 @ SV183 )
| ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1413,plain,
! [SV184: $i,SV165: $i] :
( ( ~ ( aSubsetOf0 @ SV165 @ cS1395 )
| ~ ( aSubsetOf0 @ SV184 @ cS1395 )
| ~ ( isClosed0 @ SV165 )
| ~ ( isClosed0 @ SV184 )
| ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1414,plain,
! [SV166: $i] :
( ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY240 )
| ~ ( aInteger0 @ SY241 )
| ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SY240 @ SY241 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY240 ) @ ( sdtasdt0 @ SV166 @ SY241 ) ) ) )
| ~ ! [SY242: $i,SY243: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY242 )
| ~ ( aInteger0 @ SY243 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SY242 ) @ SY243 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY243 ) @ ( sdtasdt0 @ SY242 @ SY243 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1415,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1416,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1417,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1418,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1419,plain,
! [SV167: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) ) )
| ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1420,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1386]) ).
thf(1421,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1386]) ).
thf(1422,plain,
( ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1387]) ).
thf(1423,plain,
( ( ~ ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1387]) ).
thf(1424,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1425,plain,
( ( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
!= cS2076 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1426,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1427,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1428,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1429,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1430,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1391]) ).
thf(1431,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1391]) ).
thf(1432,plain,
! [SV185: $i,SV168: $i] :
( ( ~ ( ~ ! [SY254: $i,SY255: $i] :
( ( SY255 = sz00 )
| ( SY254 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY254 )
| ~ ( aInteger0 @ SY255 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY254 @ SY255 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY254 ) )
| ~ ! [SY256: $i,SY257: $i] :
( ( SY257 = sz00 )
| ( SY256 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY256 )
| ~ ( aInteger0 @ SY257 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY256 @ SY257 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1433,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1434,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1435,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1436,plain,
( ( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1437,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1438,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1439,plain,
! [SV169: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) ) )
| ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1440,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1441,plain,
( ( ( xS != cS2043 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1442,plain,
! [SV152: $i] :
( ( ( aInteger0 @ SV152 )
= $false )
| ( ( aInteger0 @ ( smndt0 @ SV152 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1443,plain,
! [SV170: $i,SV153: $i] :
( ( ( ~ ( aInteger0 @ SV153 )
| ~ ( aInteger0 @ SV170 ) )
= $true )
| ( ( aInteger0 @ ( sdtpldt0 @ SV153 @ SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1444,plain,
! [SV171: $i,SV154: $i] :
( ( ( ~ ( aInteger0 @ SV154 )
| ~ ( aInteger0 @ SV171 ) )
= $true )
| ( ( aInteger0 @ ( sdtasdt0 @ SV154 @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1445,plain,
! [SV186: $i,SV172: $i,SV155: $i] :
( ( ~ ( aInteger0 @ SV155 )
| ~ ( aInteger0 @ SV172 )
| ~ ( aInteger0 @ SV186 )
| ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1446,plain,
! [SV173: $i,SV156: $i] :
( ( ( ~ ( aInteger0 @ SV156 )
| ~ ( aInteger0 @ SV173 ) )
= $true )
| ( ( ( sdtpldt0 @ SV156 @ SV173 )
= ( sdtpldt0 @ SV173 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1447,plain,
! [SV187: $i,SV174: $i,SV157: $i] :
( ( ~ ( aInteger0 @ SV157 )
| ~ ( aInteger0 @ SV174 )
| ~ ( aInteger0 @ SV187 )
| ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1448,plain,
! [SV175: $i,SV158: $i] :
( ( ( ~ ( aInteger0 @ SV158 )
| ~ ( aInteger0 @ SV175 ) )
= $true )
| ( ( ( sdtasdt0 @ SV158 @ SV175 )
= ( sdtasdt0 @ SV175 @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1404]) ).
thf(1449,plain,
! [SV176: $i,SV159: $i] :
( ( ( ~ ( aInteger0 @ SV159 )
| ~ ( aInteger0 @ SV176 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV159 @ SV176 )
!= sz00 )
| ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1450,plain,
! [SV160: $i,SV177: $i] :
( ( ( ( SV177 = sz00 )
| ~ ( aInteger0 @ SV160 )
| ~ ( aInteger0 @ SV177 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SV177 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1451,plain,
! [SV178: $i,SV161: $i,SV188: $i] :
( ( ( SV188 = sz00 )
| ~ ( aInteger0 @ SV161 )
| ~ ( aInteger0 @ SV178 )
| ~ ( aInteger0 @ SV188 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1452,plain,
! [SV179: $i,SV162: $i,SV189: $i] :
( ( ! [SY258: $i] :
( ( SV189 = sz00 )
| ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 )
| ~ ( aInteger0 @ SV189 )
| ~ ( aInteger0 @ SY258 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SY258 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SY258 @ SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1453,plain,
! [SV180: $i] :
( ( ( SV180 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV180 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1454,plain,
! [SV181: $i] :
( ( ( aSet0 @ SV181 )
= $false )
| ( ( ! [W1: $i] : $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1455,plain,
! [SV182: $i] :
( ( ( aSet0 @ SV182 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1456,plain,
! [SV183: $i,SV164: $i] :
( ( ( ~ ( aSubsetOf0 @ SV164 @ cS1395 )
| ~ ( aSubsetOf0 @ SV183 @ cS1395 )
| ~ ( isOpen0 @ SV164 )
| ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1412]) ).
thf(1457,plain,
! [SV184: $i,SV165: $i] :
( ( ( ~ ( aSubsetOf0 @ SV165 @ cS1395 )
| ~ ( aSubsetOf0 @ SV184 @ cS1395 )
| ~ ( isClosed0 @ SV165 )
| ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1458,plain,
! [SV166: $i] :
( ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY240 )
| ~ ( aInteger0 @ SY241 )
| ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SY240 @ SY241 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY240 ) @ ( sdtasdt0 @ SV166 @ SY241 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1459,plain,
! [SV166: $i] :
( ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY242 )
| ~ ( aInteger0 @ SY243 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SY242 ) @ SY243 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY243 ) @ ( sdtasdt0 @ SY242 @ SY243 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1460,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1415]) ).
thf(1461,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1416]) ).
thf(1462,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
= ( smndt0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1463,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( smndt0 @ SX0 )
= ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1464,plain,
! [SV167: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1465,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ ( sK11_SY108 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK10_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK10_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1466,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1467,plain,
( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1468,plain,
( ( ~ ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1469,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1470,plain,
( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1471,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1472,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1473,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SX0 ) @ SX0 )
| ~ ( isPrime0 @ ( sK3_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1474,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1475,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) @ cS1395 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1476,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX0 )
| ~ ( aInteger0 @ SX1 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1477,plain,
! [SV185: $i,SV168: $i] :
( ( ~ ! [SY254: $i,SY255: $i] :
( ( SY255 = sz00 )
| ( SY254 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY254 )
| ~ ( aInteger0 @ SY255 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY254 @ SY255 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY254 ) )
| ~ ! [SY256: $i,SY257: $i] :
( ( SY257 = sz00 )
| ( SY256 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY256 )
| ~ ( aInteger0 @ SY257 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY256 @ SY257 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY257 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1478,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1479,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1480,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1481,plain,
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1482,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1483,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1484,plain,
! [SV169: $i] :
( ( ( ~ ( ~ ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1439]) ).
thf(1485,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1486,plain,
( ( xS = cS2043 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1487,plain,
! [SV170: $i,SV153: $i] :
( ( ( ~ ( aInteger0 @ SV153 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV170 ) )
= $true )
| ( ( aInteger0 @ ( sdtpldt0 @ SV153 @ SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1488,plain,
! [SV171: $i,SV154: $i] :
( ( ( ~ ( aInteger0 @ SV154 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV171 ) )
= $true )
| ( ( aInteger0 @ ( sdtasdt0 @ SV154 @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1489,plain,
! [SV186: $i,SV172: $i,SV155: $i] :
( ( ( ~ ( aInteger0 @ SV155 )
| ~ ( aInteger0 @ SV172 )
| ~ ( aInteger0 @ SV186 ) )
= $true )
| ( ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1490,plain,
! [SV173: $i,SV156: $i] :
( ( ( ~ ( aInteger0 @ SV156 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV173 ) )
= $true )
| ( ( ( sdtpldt0 @ SV156 @ SV173 )
= ( sdtpldt0 @ SV173 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1446]) ).
thf(1491,plain,
! [SV187: $i,SV174: $i,SV157: $i] :
( ( ( ~ ( aInteger0 @ SV157 )
| ~ ( aInteger0 @ SV174 )
| ~ ( aInteger0 @ SV187 ) )
= $true )
| ( ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1447]) ).
thf(1492,plain,
! [SV175: $i,SV158: $i] :
( ( ( ~ ( aInteger0 @ SV158 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV175 ) )
= $true )
| ( ( ( sdtasdt0 @ SV158 @ SV175 )
= ( sdtasdt0 @ SV175 @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1448]) ).
thf(1493,plain,
! [SV176: $i,SV159: $i] :
( ( ( ~ ( aInteger0 @ SV159 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV176 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV159 @ SV176 )
!= sz00 )
| ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1494,plain,
! [SV160: $i,SV177: $i] :
( ( ( SV177 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV160 )
| ~ ( aInteger0 @ SV177 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SV177 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1450]) ).
thf(1495,plain,
! [SV178: $i,SV161: $i,SV188: $i] :
( ( ( ( SV188 = sz00 )
| ~ ( aInteger0 @ SV161 )
| ~ ( aInteger0 @ SV178 )
| ~ ( aInteger0 @ SV188 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1496,plain,
! [SV190: $i,SV179: $i,SV162: $i,SV189: $i] :
( ( ( SV189 = sz00 )
| ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 )
| ~ ( aInteger0 @ SV189 )
| ~ ( aInteger0 @ SV190 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1497,plain,
! [SV180: $i] :
( ( ( aInteger0 @ SV180 )
= $false )
| ( ( SV180 = sz00 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1498,plain,
! [SV181: $i] :
( ( $true = $true )
| ( ( aSet0 @ SV181 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1499,plain,
! [SV183: $i,SV164: $i] :
( ( ( ~ ( aSubsetOf0 @ SV164 @ cS1395 )
| ~ ( aSubsetOf0 @ SV183 @ cS1395 )
| ~ ( isOpen0 @ SV164 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1456]) ).
thf(1500,plain,
! [SV184: $i,SV165: $i] :
( ( ( ~ ( aSubsetOf0 @ SV165 @ cS1395 )
| ~ ( aSubsetOf0 @ SV184 @ cS1395 )
| ~ ( isClosed0 @ SV165 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1457]) ).
thf(1501,plain,
! [SV166: $i] :
( ( ! [SY240: $i,SY241: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY240 )
| ~ ( aInteger0 @ SY241 )
| ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SY240 @ SY241 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY240 ) @ ( sdtasdt0 @ SV166 @ SY241 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1502,plain,
! [SV166: $i] :
( ( ! [SY242: $i,SY243: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SY242 )
| ~ ( aInteger0 @ SY243 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SY242 ) @ SY243 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY243 ) @ ( sdtasdt0 @ SY242 @ SY243 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1503,plain,
! [SV192: $i] :
( ( ~ ( aInteger0 @ SV192 )
| ( ( sdtpldt0 @ SV192 @ sz00 )
= SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1504,plain,
! [SV193: $i] :
( ( ~ ( aInteger0 @ SV193 )
| ( SV193
= ( sdtpldt0 @ sz00 @ SV193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1505,plain,
! [SV194: $i] :
( ( ~ ( aInteger0 @ SV194 )
| ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV194 )
= ( smndt0 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1506,plain,
! [SV195: $i] :
( ( ~ ( aInteger0 @ SV195 )
| ( ( smndt0 @ SV195 )
= ( sdtasdt0 @ SV195 @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1507,plain,
! [SV167: $i] :
( ( ( ~ ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
| ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1508,plain,
! [SV196: $i] :
( ( ~ ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1509,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1510,plain,
( ( aElementOf0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1511,plain,
( ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1512,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1513,plain,
! [SV197: $i] :
( ( ~ ( aInteger0 @ SV197 )
| ( ( sdtasdt0 @ SV197 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1514,plain,
! [SV198: $i] :
( ( ~ ( aInteger0 @ SV198 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1515,plain,
! [SV199: $i] :
( ( ~ ( aInteger0 @ SV199 )
| ( SV199 = sz10 )
| ( SV199
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1516,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1517,plain,
! [SV200: $i] :
( ( ! [SY268: $i] :
( ( SY268 = sz00 )
| ~ ( aInteger0 @ SV200 )
| ~ ( aInteger0 @ SY268 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SY268 ) @ cS1395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1518,plain,
! [SV201: $i] :
( ( ! [SY269: $i] :
( ( SY269 = sz00 )
| ~ ( aInteger0 @ SV201 )
| ~ ( aInteger0 @ SY269 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SY269 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1519,plain,
! [SV185: $i,SV168: $i] :
( ( ~ ! [SY254: $i,SY255: $i] :
( ( SY255 = sz00 )
| ( SY254 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY254 )
| ~ ( aInteger0 @ SY255 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY254 @ SY255 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY254 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1520,plain,
! [SV185: $i,SV168: $i] :
( ( ~ ! [SY256: $i,SY257: $i] :
( ( SY257 = sz00 )
| ( SY256 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY256 )
| ~ ( aInteger0 @ SY257 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY256 @ SY257 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY257 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1521,plain,
! [SV202: $i] :
( ( ~ ( aInteger0 @ SV202 )
| ( ( sdtasdt0 @ SV202 @ sz10 )
= SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1522,plain,
! [SV203: $i] :
( ( ~ ( aInteger0 @ SV203 )
| ( SV203
= ( sdtasdt0 @ sz10 @ SV203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1523,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1524,plain,
! [SV204: $i] :
( ( ~ ( aInteger0 @ SV204 )
| ( ( sdtpldt0 @ SV204 @ ( smndt0 @ SV204 ) )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1525,plain,
! [SV205: $i] :
( ( ~ ( aInteger0 @ SV205 )
| ( sz00
= ( sdtpldt0 @ ( smndt0 @ SV205 ) @ SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1526,plain,
! [SV169: $i] :
( ( ( ~ ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 )
| ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1527,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
| ~ ( aSet0 @ xS ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1528,plain,
! [SV170: $i,SV153: $i] :
( ( ( aInteger0 @ SV153 )
= $false )
| ( ( ~ ( aInteger0 @ SV170 ) )
= $true )
| ( ( aInteger0 @ ( sdtpldt0 @ SV153 @ SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1529,plain,
! [SV171: $i,SV154: $i] :
( ( ( aInteger0 @ SV154 )
= $false )
| ( ( ~ ( aInteger0 @ SV171 ) )
= $true )
| ( ( aInteger0 @ ( sdtasdt0 @ SV154 @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1530,plain,
! [SV186: $i,SV172: $i,SV155: $i] :
( ( ( ~ ( aInteger0 @ SV155 )
| ~ ( aInteger0 @ SV172 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV186 ) )
= $true )
| ( ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1489]) ).
thf(1531,plain,
! [SV173: $i,SV156: $i] :
( ( ( aInteger0 @ SV156 )
= $false )
| ( ( ~ ( aInteger0 @ SV173 ) )
= $true )
| ( ( ( sdtpldt0 @ SV156 @ SV173 )
= ( sdtpldt0 @ SV173 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1532,plain,
! [SV187: $i,SV174: $i,SV157: $i] :
( ( ( ~ ( aInteger0 @ SV157 )
| ~ ( aInteger0 @ SV174 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV187 ) )
= $true )
| ( ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1533,plain,
! [SV175: $i,SV158: $i] :
( ( ( aInteger0 @ SV158 )
= $false )
| ( ( ~ ( aInteger0 @ SV175 ) )
= $true )
| ( ( ( sdtasdt0 @ SV158 @ SV175 )
= ( sdtasdt0 @ SV175 @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1534,plain,
! [SV176: $i,SV159: $i] :
( ( ( aInteger0 @ SV159 )
= $false )
| ( ( ~ ( aInteger0 @ SV176 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV159 @ SV176 )
!= sz00 )
| ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1535,plain,
! [SV177: $i,SV160: $i] :
( ( ( ~ ( aInteger0 @ SV160 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV177 ) )
= $true )
| ( ( SV177 = sz00 )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SV177 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1536,plain,
! [SV178: $i,SV161: $i,SV188: $i] :
( ( ( SV188 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV161 )
| ~ ( aInteger0 @ SV178 )
| ~ ( aInteger0 @ SV188 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1495]) ).
thf(1537,plain,
! [SV190: $i,SV179: $i,SV162: $i,SV189: $i] :
( ( ( ( SV189 = sz00 )
| ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 )
| ~ ( aInteger0 @ SV189 )
| ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1538,plain,
! [SV183: $i,SV164: $i] :
( ( ( ~ ( aSubsetOf0 @ SV164 @ cS1395 )
| ~ ( aSubsetOf0 @ SV183 @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV164 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1539,plain,
! [SV184: $i,SV165: $i] :
( ( ( ~ ( aSubsetOf0 @ SV165 @ cS1395 )
| ~ ( aSubsetOf0 @ SV184 @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV165 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1540,plain,
! [SV206: $i,SV166: $i] :
( ( ! [SY270: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV206 )
| ~ ( aInteger0 @ SY270 )
| ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SY270 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SY270 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1541,plain,
! [SV207: $i,SV166: $i] :
( ( ! [SY271: $i] :
( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV207 )
| ~ ( aInteger0 @ SY271 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SY271 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SY271 ) @ ( sdtasdt0 @ SV207 @ SY271 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1542,plain,
! [SV192: $i] :
( ( ( ~ ( aInteger0 @ SV192 ) )
= $true )
| ( ( ( sdtpldt0 @ SV192 @ sz00 )
= SV192 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1543,plain,
! [SV193: $i] :
( ( ( ~ ( aInteger0 @ SV193 ) )
= $true )
| ( ( SV193
= ( sdtpldt0 @ sz00 @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1544,plain,
! [SV194: $i] :
( ( ( ~ ( aInteger0 @ SV194 ) )
= $true )
| ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV194 )
= ( smndt0 @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1545,plain,
! [SV195: $i] :
( ( ( ~ ( aInteger0 @ SV195 ) )
= $true )
| ( ( ( smndt0 @ SV195 )
= ( sdtasdt0 @ SV195 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1546,plain,
! [SV167: $i] :
( ( ( ~ ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 ) )
= $false )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1547,plain,
! [SV167: $i] :
( ( ( ~ ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1548,plain,
! [SV196: $i] :
( ( ( ~ ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1549,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1550,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1551,plain,
( ( ~ ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1552,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1553,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1554,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1555,plain,
! [SV197: $i] :
( ( ( ~ ( aInteger0 @ SV197 ) )
= $true )
| ( ( ( sdtasdt0 @ SV197 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1556,plain,
! [SV198: $i] :
( ( ( ~ ( aInteger0 @ SV198 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV198 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1557,plain,
! [SV199: $i] :
( ( ( ~ ( aInteger0 @ SV199 ) )
= $true )
| ( ( ( SV199 = sz10 )
| ( SV199
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1558,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1559,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1560,plain,
! [SV200: $i,SV208: $i] :
( ( ( SV208 = sz00 )
| ~ ( aInteger0 @ SV200 )
| ~ ( aInteger0 @ SV208 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SV208 ) @ cS1395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1561,plain,
! [SV201: $i,SV209: $i] :
( ( ( SV209 = sz00 )
| ~ ( aInteger0 @ SV201 )
| ~ ( aInteger0 @ SV209 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1562,plain,
! [SV185: $i,SV168: $i] :
( ( ! [SY254: $i,SY255: $i] :
( ( SY255 = sz00 )
| ( SY254 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY254 )
| ~ ( aInteger0 @ SY255 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY254 @ SY255 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY254 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1563,plain,
! [SV185: $i,SV168: $i] :
( ( ! [SY256: $i,SY257: $i] :
( ( SY257 = sz00 )
| ( SY256 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SY256 )
| ~ ( aInteger0 @ SY257 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SY256 @ SY257 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY257 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1564,plain,
! [SV202: $i] :
( ( ( ~ ( aInteger0 @ SV202 ) )
= $true )
| ( ( ( sdtasdt0 @ SV202 @ sz10 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1565,plain,
! [SV203: $i] :
( ( ( ~ ( aInteger0 @ SV203 ) )
= $true )
| ( ( SV203
= ( sdtasdt0 @ sz10 @ SV203 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1522]) ).
thf(1566,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1567,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1568,plain,
! [SV204: $i] :
( ( ( ~ ( aInteger0 @ SV204 ) )
= $true )
| ( ( ( sdtpldt0 @ SV204 @ ( smndt0 @ SV204 ) )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1569,plain,
! [SV205: $i] :
( ( ( ~ ( aInteger0 @ SV205 ) )
= $true )
| ( ( sz00
= ( sdtpldt0 @ ( smndt0 @ SV205 ) @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1570,plain,
! [SV169: $i] :
( ( ( ~ ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 ) )
= $false )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1571,plain,
! [SV169: $i] :
( ( ( ~ ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) ) )
= $false )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1572,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1573,plain,
( ( ~ ( aSet0 @ xS ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1574,plain,
! [SV153: $i,SV170: $i] :
( ( ( aInteger0 @ SV170 )
= $false )
| ( ( aInteger0 @ SV153 )
= $false )
| ( ( aInteger0 @ ( sdtpldt0 @ SV153 @ SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1575,plain,
! [SV154: $i,SV171: $i] :
( ( ( aInteger0 @ SV171 )
= $false )
| ( ( aInteger0 @ SV154 )
= $false )
| ( ( aInteger0 @ ( sdtasdt0 @ SV154 @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1576,plain,
! [SV186: $i,SV172: $i,SV155: $i] :
( ( ( ~ ( aInteger0 @ SV155 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV172 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV186 ) )
= $true )
| ( ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1577,plain,
! [SV156: $i,SV173: $i] :
( ( ( aInteger0 @ SV173 )
= $false )
| ( ( aInteger0 @ SV156 )
= $false )
| ( ( ( sdtpldt0 @ SV156 @ SV173 )
= ( sdtpldt0 @ SV173 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1578,plain,
! [SV187: $i,SV174: $i,SV157: $i] :
( ( ( ~ ( aInteger0 @ SV157 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV174 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV187 ) )
= $true )
| ( ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1579,plain,
! [SV158: $i,SV175: $i] :
( ( ( aInteger0 @ SV175 )
= $false )
| ( ( aInteger0 @ SV158 )
= $false )
| ( ( ( sdtasdt0 @ SV158 @ SV175 )
= ( sdtasdt0 @ SV175 @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1580,plain,
! [SV159: $i,SV176: $i] :
( ( ( aInteger0 @ SV176 )
= $false )
| ( ( aInteger0 @ SV159 )
= $false )
| ( ( ( ( sdtasdt0 @ SV159 @ SV176 )
!= sz00 )
| ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1581,plain,
! [SV177: $i,SV160: $i] :
( ( ( aInteger0 @ SV160 )
= $false )
| ( ( ~ ( aInteger0 @ SV177 ) )
= $true )
| ( ( SV177 = sz00 )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SV177 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1582,plain,
! [SV188: $i,SV178: $i,SV161: $i] :
( ( ( ~ ( aInteger0 @ SV161 )
| ~ ( aInteger0 @ SV178 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV188 ) )
= $true )
| ( ( SV188 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1583,plain,
! [SV190: $i,SV179: $i,SV162: $i,SV189: $i] :
( ( ( ( SV189 = sz00 )
| ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 )
| ~ ( aInteger0 @ SV189 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1584,plain,
! [SV183: $i,SV164: $i] :
( ( ( ~ ( aSubsetOf0 @ SV164 @ cS1395 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV183 @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV164 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1585,plain,
! [SV184: $i,SV165: $i] :
( ( ( ~ ( aSubsetOf0 @ SV165 @ cS1395 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV184 @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV165 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1586,plain,
! [SV210: $i,SV206: $i,SV166: $i] :
( ( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV206 )
| ~ ( aInteger0 @ SV210 )
| ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1587,plain,
! [SV211: $i,SV207: $i,SV166: $i] :
( ( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV207 )
| ~ ( aInteger0 @ SV211 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1588,plain,
! [SV192: $i] :
( ( ( aInteger0 @ SV192 )
= $false )
| ( ( ( sdtpldt0 @ SV192 @ sz00 )
= SV192 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1589,plain,
! [SV193: $i] :
( ( ( aInteger0 @ SV193 )
= $false )
| ( ( SV193
= ( sdtpldt0 @ sz00 @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1590,plain,
! [SV194: $i] :
( ( ( aInteger0 @ SV194 )
= $false )
| ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV194 )
= ( smndt0 @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1591,plain,
! [SV195: $i] :
( ( ( aInteger0 @ SV195 )
= $false )
| ( ( ( smndt0 @ SV195 )
= ( sdtasdt0 @ SV195 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1592,plain,
! [SV167: $i] :
( ( ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
= $true )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1593,plain,
! [SV167: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
| ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1594,plain,
! [SV196: $i] :
( ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1595,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1596,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1597,plain,
( ( ~ ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1598,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1599,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1600,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1601,plain,
! [SV197: $i] :
( ( ( aInteger0 @ SV197 )
= $false )
| ( ( ( sdtasdt0 @ SV197 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1602,plain,
! [SV198: $i] :
( ( ( aInteger0 @ SV198 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV198 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1603,plain,
! [SV199: $i] :
( ( ( aInteger0 @ SV199 )
= $false )
| ( ( ( SV199 = sz10 )
| ( SV199
= ( smndt0 @ sz10 ) )
| ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1604,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0 != sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1605,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ~ ( aDivisorOf0 @ SX1 @ SX0 )
| ~ ( isPrime0 @ SX1 ) )
| ( SX0
!= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1606,plain,
! [SV200: $i,SV208: $i] :
( ( ( ( SV208 = sz00 )
| ~ ( aInteger0 @ SV200 )
| ~ ( aInteger0 @ SV208 ) )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SV208 ) @ cS1395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1607,plain,
! [SV201: $i,SV209: $i] :
( ( ( ( SV209 = sz00 )
| ~ ( aInteger0 @ SV201 )
| ~ ( aInteger0 @ SV209 ) )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1608,plain,
! [SV185: $i,SV168: $i,SV212: $i] :
( ( ! [SY272: $i] :
( ( SY272 = sz00 )
| ( SV212 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV212 )
| ~ ( aInteger0 @ SY272 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SY272 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1609,plain,
! [SV185: $i,SV168: $i,SV213: $i] :
( ( ! [SY273: $i] :
( ( SY273 = sz00 )
| ( SV213 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV213 )
| ~ ( aInteger0 @ SY273 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SY273 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1610,plain,
! [SV202: $i] :
( ( ( aInteger0 @ SV202 )
= $false )
| ( ( ( sdtasdt0 @ SV202 @ sz10 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1611,plain,
! [SV203: $i] :
( ( ( aInteger0 @ SV203 )
= $false )
| ( ( SV203
= ( sdtasdt0 @ sz10 @ SV203 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1612,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1613,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1614,plain,
! [SV204: $i] :
( ( ( aInteger0 @ SV204 )
= $false )
| ( ( ( sdtpldt0 @ SV204 @ ( smndt0 @ SV204 ) )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1615,plain,
! [SV205: $i] :
( ( ( aInteger0 @ SV205 )
= $false )
| ( ( sz00
= ( sdtpldt0 @ ( smndt0 @ SV205 ) @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1616,plain,
! [SV169: $i] :
( ( ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 )
= $true )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1617,plain,
! [SV169: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
| ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1618,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1619,plain,
( ( aSet0 @ xS )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1620,plain,
! [SV186: $i,SV172: $i,SV155: $i] :
( ( ( aInteger0 @ SV155 )
= $false )
| ( ( ~ ( aInteger0 @ SV172 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV186 ) )
= $true )
| ( ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1621,plain,
! [SV187: $i,SV174: $i,SV157: $i] :
( ( ( aInteger0 @ SV157 )
= $false )
| ( ( ~ ( aInteger0 @ SV174 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV187 ) )
= $true )
| ( ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1622,plain,
! [SV176: $i,SV159: $i] :
( ( ( ( ( sdtasdt0 @ SV159 @ SV176 )
!= sz00 ) )
= $true )
| ( ( ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true )
| ( ( aInteger0 @ SV159 )
= $false )
| ( ( aInteger0 @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1623,plain,
! [SV160: $i,SV177: $i] :
( ( ( aInteger0 @ SV177 )
= $false )
| ( ( aInteger0 @ SV160 )
= $false )
| ( ( SV177 = sz00 )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV160 @ SV160 @ SV177 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1624,plain,
! [SV188: $i,SV178: $i,SV161: $i] :
( ( ( ~ ( aInteger0 @ SV161 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV178 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV188 ) )
= $true )
| ( ( SV188 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1625,plain,
! [SV190: $i,SV179: $i,SV162: $i,SV189: $i] :
( ( ( SV189 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 )
| ~ ( aInteger0 @ SV189 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1583]) ).
thf(1626,plain,
! [SV183: $i,SV164: $i] :
( ( ( aSubsetOf0 @ SV164 @ cS1395 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV183 @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV164 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1627,plain,
! [SV184: $i,SV165: $i] :
( ( ( aSubsetOf0 @ SV165 @ cS1395 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV184 @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV165 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1628,plain,
! [SV210: $i,SV206: $i,SV166: $i] :
( ( ( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV206 )
| ~ ( aInteger0 @ SV210 ) )
= $true )
| ( ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1586]) ).
thf(1629,plain,
! [SV211: $i,SV207: $i,SV166: $i] :
( ( ( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV207 )
| ~ ( aInteger0 @ SV211 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1630,plain,
! [SV167: $i] :
( ( ( ~ ( aSet0 @ SV167 ) )
= $true )
| ( ( ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1631,plain,
! [SV167: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 ) )
= $true )
| ( ( ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1593]) ).
thf(1632,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1633,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1634,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1635,plain,
( ( sdteqdtlpzmzozddtrp0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ sz10 @ xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1636,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) )
| ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1637,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1638,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1639,plain,
! [SV199: $i] :
( ( ( ( SV199 = sz10 )
| ( SV199
= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) ) )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1603]) ).
thf(1640,plain,
! [SV214: $i] :
( ( ~ ( aInteger0 @ SV214 )
| ! [SY274: $i] :
( ~ ( aDivisorOf0 @ SY274 @ SV214 )
| ~ ( isPrime0 @ SY274 ) )
| ( SV214 != sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1641,plain,
! [SV215: $i] :
( ( ~ ( aInteger0 @ SV215 )
| ! [SY275: $i] :
( ~ ( aDivisorOf0 @ SY275 @ SV215 )
| ~ ( isPrime0 @ SY275 ) )
| ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1642,plain,
! [SV200: $i,SV208: $i] :
( ( ( SV208 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV200 )
| ~ ( aInteger0 @ SV208 ) )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SV208 ) @ cS1395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1606]) ).
thf(1643,plain,
! [SV201: $i,SV209: $i] :
( ( ( SV209 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV201 )
| ~ ( aInteger0 @ SV209 ) )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1607]) ).
thf(1644,plain,
! [SV185: $i,SV168: $i,SV212: $i,SV216: $i] :
( ( ( SV216 = sz00 )
| ( SV212 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV212 )
| ~ ( aInteger0 @ SV216 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1645,plain,
! [SV185: $i,SV168: $i,SV213: $i,SV217: $i] :
( ( ( SV217 = sz00 )
| ( SV213 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV213 )
| ~ ( aInteger0 @ SV217 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(1646,plain,
! [SV218: $i] :
( ( ~ ( aElementOf0 @ SV218 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aElementOf0 @ SV218 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(1647,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1648,plain,
! [SV169: $i] :
( ( ( aSet0 @ SV169 )
= $false )
| ( ( aElementOf0 @ ( sK2_W1 @ SV169 ) @ SV169 )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1649,plain,
! [SV169: $i] :
( ( ( ~ ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 ) )
= $true )
| ( ( ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1617]) ).
thf(1650,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1651,plain,
! [SV186: $i,SV155: $i,SV172: $i] :
( ( ( aInteger0 @ SV172 )
= $false )
| ( ( aInteger0 @ SV155 )
= $false )
| ( ( ~ ( aInteger0 @ SV186 ) )
= $true )
| ( ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1652,plain,
! [SV187: $i,SV157: $i,SV174: $i] :
( ( ( aInteger0 @ SV174 )
= $false )
| ( ( aInteger0 @ SV157 )
= $false )
| ( ( ~ ( aInteger0 @ SV187 ) )
= $true )
| ( ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1653,plain,
! [SV176: $i,SV159: $i] :
( ( ( ( sdtasdt0 @ SV159 @ SV176 )
= sz00 )
= $false )
| ( ( ( SV159 = sz00 )
| ( SV176 = sz00 ) )
= $true )
| ( ( aInteger0 @ SV159 )
= $false )
| ( ( aInteger0 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1654,plain,
! [SV188: $i,SV178: $i,SV161: $i] :
( ( ( aInteger0 @ SV161 )
= $false )
| ( ( ~ ( aInteger0 @ SV178 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV188 ) )
= $true )
| ( ( SV188 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1655,plain,
! [SV190: $i,SV189: $i,SV179: $i,SV162: $i] :
( ( ( ~ ( aInteger0 @ SV162 )
| ~ ( aInteger0 @ SV179 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV189 ) )
= $true )
| ( ( SV189 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1656,plain,
! [SV164: $i,SV183: $i] :
( ( ( aSubsetOf0 @ SV183 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV164 @ cS1395 )
= $false )
| ( ( ~ ( isOpen0 @ SV164 ) )
= $true )
| ( ( ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1657,plain,
! [SV165: $i,SV184: $i] :
( ( ( aSubsetOf0 @ SV184 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV165 @ cS1395 )
= $false )
| ( ( ~ ( isClosed0 @ SV165 ) )
= $true )
| ( ( ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1658,plain,
! [SV210: $i,SV206: $i,SV166: $i] :
( ( ( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV206 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV210 ) )
= $true )
| ( ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1659,plain,
! [SV211: $i,SV207: $i,SV166: $i] :
( ( ( ~ ( aInteger0 @ SV166 )
| ~ ( aInteger0 @ SV207 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV211 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1660,plain,
! [SV167: $i] :
( ( ( aSet0 @ SV167 )
= $false )
| ( ( ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1661,plain,
! [SV167: $i] :
( ( ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
= $false )
| ( ( ~ ( isClosed0 @ ( sK1_W1 @ SV167 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1662,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1663,plain,
! [SV196: $i] :
( ( ( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1664,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1665,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1666,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1667,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1668,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1669,plain,
( ( ~ ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1670,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1671,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1672,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1673,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1674,plain,
! [SV199: $i] :
( ( ( SV199 = sz10 )
= $true )
| ( ( SV199
= ( smndt0 @ sz10 ) )
= $true )
| ( ( ~ ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) ) )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1639]) ).
thf(1675,plain,
! [SV214: $i] :
( ( ( ~ ( aInteger0 @ SV214 ) )
= $true )
| ( ( ! [SY274: $i] :
( ~ ( aDivisorOf0 @ SY274 @ SV214 )
| ~ ( isPrime0 @ SY274 ) )
| ( SV214 != sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1676,plain,
! [SV215: $i] :
( ( ( ~ ( aInteger0 @ SV215 ) )
= $true )
| ( ( ! [SY275: $i] :
( ~ ( aDivisorOf0 @ SY275 @ SV215 )
| ~ ( isPrime0 @ SY275 ) )
| ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1641]) ).
thf(1677,plain,
! [SV208: $i,SV200: $i] :
( ( ( ~ ( aInteger0 @ SV200 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV208 ) )
= $true )
| ( ( SV208 = sz00 )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SV208 ) @ cS1395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1642]) ).
thf(1678,plain,
! [SV209: $i,SV201: $i] :
( ( ( ~ ( aInteger0 @ SV201 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV209 ) )
= $true )
| ( ( SV209 = sz00 )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1643]) ).
thf(1679,plain,
! [SV185: $i,SV168: $i,SV212: $i,SV216: $i] :
( ( ( ( SV216 = sz00 )
| ( SV212 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV212 )
| ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1644]) ).
thf(1680,plain,
! [SV185: $i,SV168: $i,SV213: $i,SV217: $i] :
( ( ( ( SV217 = sz00 )
| ( SV213 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV213 )
| ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1645]) ).
thf(1681,plain,
! [SV218: $i] :
( ( ( ~ ( aElementOf0 @ SV218 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( aElementOf0 @ SV218 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1646]) ).
thf(1682,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1683,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1684,plain,
! [SV169: $i] :
( ( ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
= $false )
| ( ( ~ ( isOpen0 @ ( sK2_W1 @ SV169 ) ) )
= $true )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1685,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1686,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1687,plain,
! [SV172: $i,SV155: $i,SV186: $i] :
( ( ( aInteger0 @ SV186 )
= $false )
| ( ( aInteger0 @ SV155 )
= $false )
| ( ( aInteger0 @ SV172 )
= $false )
| ( ( ( sdtpldt0 @ SV155 @ ( sdtpldt0 @ SV172 @ SV186 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ SV155 @ SV172 ) @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1688,plain,
! [SV174: $i,SV157: $i,SV187: $i] :
( ( ( aInteger0 @ SV187 )
= $false )
| ( ( aInteger0 @ SV157 )
= $false )
| ( ( aInteger0 @ SV174 )
= $false )
| ( ( ( sdtasdt0 @ SV157 @ ( sdtasdt0 @ SV174 @ SV187 ) )
= ( sdtasdt0 @ ( sdtasdt0 @ SV157 @ SV174 ) @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1689,plain,
! [SV176: $i,SV159: $i] :
( ( ( SV159 = sz00 )
= $true )
| ( ( SV176 = sz00 )
= $true )
| ( ( ( sdtasdt0 @ SV159 @ SV176 )
= sz00 )
= $false )
| ( ( aInteger0 @ SV159 )
= $false )
| ( ( aInteger0 @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1690,plain,
! [SV188: $i,SV161: $i,SV178: $i] :
( ( ( aInteger0 @ SV178 )
= $false )
| ( ( aInteger0 @ SV161 )
= $false )
| ( ( ~ ( aInteger0 @ SV188 ) )
= $true )
| ( ( SV188 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1654]) ).
thf(1691,plain,
! [SV190: $i,SV189: $i,SV179: $i,SV162: $i] :
( ( ( ~ ( aInteger0 @ SV162 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV179 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV189 ) )
= $true )
| ( ( SV189 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1692,plain,
! [SV183: $i,SV164: $i] :
( ( ( isOpen0 @ SV164 )
= $false )
| ( ( aSubsetOf0 @ SV164 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV183 @ cS1395 )
= $false )
| ( ( ~ ( isOpen0 @ SV183 ) )
= $true )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1693,plain,
! [SV184: $i,SV165: $i] :
( ( ( isClosed0 @ SV165 )
= $false )
| ( ( aSubsetOf0 @ SV165 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV184 @ cS1395 )
= $false )
| ( ( ~ ( isClosed0 @ SV184 ) )
= $true )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1694,plain,
! [SV210: $i,SV206: $i,SV166: $i] :
( ( ( ~ ( aInteger0 @ SV166 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV206 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV210 ) )
= $true )
| ( ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1695,plain,
! [SV211: $i,SV207: $i,SV166: $i] :
( ( ( ~ ( aInteger0 @ SV166 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV207 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV211 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1659]) ).
thf(1696,plain,
! [SV167: $i] :
( ( ( isFinite0 @ SV167 )
= $false )
| ( ( aSet0 @ SV167 )
= $false )
| ( ( aElementOf0 @ ( sK1_W1 @ SV167 ) @ SV167 )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1660]) ).
thf(1697,plain,
! [SV167: $i] :
( ( ( isClosed0 @ ( sK1_W1 @ SV167 ) )
= $false )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
= $false )
| ( ( ~ ( aSet0 @ SV167 )
| ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1698,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1699,plain,
! [SV196: $i] :
( ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1700,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1701,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1702,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1703,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1704,plain,
( ( ! [SX0: $i] :
( ( ( sdtasdt0 @ xp @ SX0 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1705,plain,
( ( ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1706,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SX0 = sz10 )
| ( SX0
= ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1707,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1671]) ).
thf(1708,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1709,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1710,plain,
! [SV199: $i] :
( ( ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
| ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) )
= $false )
| ( ( SV199
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV199 = sz10 )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1711,plain,
! [SV214: $i] :
( ( ( aInteger0 @ SV214 )
= $false )
| ( ( ! [SY274: $i] :
( ~ ( aDivisorOf0 @ SY274 @ SV214 )
| ~ ( isPrime0 @ SY274 ) )
| ( SV214 != sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1712,plain,
! [SV215: $i] :
( ( ( aInteger0 @ SV215 )
= $false )
| ( ( ! [SY275: $i] :
( ~ ( aDivisorOf0 @ SY275 @ SV215 )
| ~ ( isPrime0 @ SY275 ) )
| ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1713,plain,
! [SV208: $i,SV200: $i] :
( ( ( aInteger0 @ SV200 )
= $false )
| ( ( ~ ( aInteger0 @ SV208 ) )
= $true )
| ( ( SV208 = sz00 )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SV208 ) @ cS1395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1714,plain,
! [SV209: $i,SV201: $i] :
( ( ( aInteger0 @ SV201 )
= $false )
| ( ( ~ ( aInteger0 @ SV209 ) )
= $true )
| ( ( SV209 = sz00 )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1715,plain,
! [SV185: $i,SV168: $i,SV212: $i,SV216: $i] :
( ( ( SV216 = sz00 )
= $true )
| ( ( ( SV212 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV212 )
| ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(1716,plain,
! [SV185: $i,SV168: $i,SV213: $i,SV217: $i] :
( ( ( SV217 = sz00 )
= $true )
| ( ( ( SV213 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV213 )
| ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1680]) ).
thf(1717,plain,
! [SV218: $i] :
( ( ( aElementOf0 @ SV218 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( aElementOf0 @ SV218 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1718,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1719,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1720,plain,
! [SV169: $i] :
( ( ( isOpen0 @ ( sK2_W1 @ SV169 ) )
= $false )
| ( ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
= $false )
| ( ( ~ ( aSet0 @ SV169 ) )
= $true )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1721,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ ( sK15_SY117 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ sz00 @ ( sK14_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SX0 ) )
!= SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1722,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX1 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SX1 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX1 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SX1 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 )
!= SX0 ) ) )
| ( aElementOf0 @ SX0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1723,plain,
! [SV178: $i,SV161: $i,SV188: $i] :
( ( ( aInteger0 @ SV188 )
= $false )
| ( ( aInteger0 @ SV161 )
= $false )
| ( ( aInteger0 @ SV178 )
= $false )
| ( ( SV188 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
| ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1724,plain,
! [SV190: $i,SV189: $i,SV179: $i,SV162: $i] :
( ( ( aInteger0 @ SV162 )
= $false )
| ( ( ~ ( aInteger0 @ SV179 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV189 ) )
= $true )
| ( ( SV189 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1725,plain,
! [SV164: $i,SV183: $i] :
( ( ( isOpen0 @ SV183 )
= $false )
| ( ( aSubsetOf0 @ SV183 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV164 @ cS1395 )
= $false )
| ( ( isOpen0 @ SV164 )
= $false )
| ( ( isOpen0 @ ( sdtslmnbsdt0 @ SV164 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1726,plain,
! [SV165: $i,SV184: $i] :
( ( ( isClosed0 @ SV184 )
= $false )
| ( ( aSubsetOf0 @ SV184 @ cS1395 )
= $false )
| ( ( aSubsetOf0 @ SV165 @ cS1395 )
= $false )
| ( ( isClosed0 @ SV165 )
= $false )
| ( ( isClosed0 @ ( sdtbsmnsldt0 @ SV165 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1727,plain,
! [SV210: $i,SV206: $i,SV166: $i] :
( ( ( aInteger0 @ SV166 )
= $false )
| ( ( ~ ( aInteger0 @ SV206 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV210 ) )
= $true )
| ( ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1728,plain,
! [SV211: $i,SV207: $i,SV166: $i] :
( ( ( aInteger0 @ SV166 )
= $false )
| ( ( ~ ( aInteger0 @ SV207 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV211 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1729,plain,
! [SV167: $i] :
( ( ( ~ ( aSet0 @ SV167 ) )
= $true )
| ( ( ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
= $false )
| ( ( isClosed0 @ ( sK1_W1 @ SV167 ) )
= $false )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1697]) ).
thf(1730,plain,
! [SV196: $i] :
( ( ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1731,plain,
! [SV219: $i] :
( ( ~ ( aInteger0 @ SV219 )
| ( aElementOf0 @ SV219 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV219 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(1732,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1733,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1734,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1735,plain,
! [SV220: $i] :
( ( ( ( sdtasdt0 @ xp @ SV220 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(1736,plain,
( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1737,plain,
! [SV221: $i] :
( ( ~ ( aElementOf0 @ SV221 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( SV221 = sz10 )
| ( SV221
= ( smndt0 @ sz10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(1738,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1739,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1740,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1741,plain,
! [SV199: $i] :
( ( ( ~ ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 ) )
= $false )
| ( ( SV199
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV199 = sz10 )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1742,plain,
! [SV199: $i] :
( ( ( ~ ( isPrime0 @ ( sK3_W1 @ SV199 ) ) )
= $false )
| ( ( SV199
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV199 = sz10 )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1743,plain,
! [SV214: $i] :
( ( ( ! [SY274: $i] :
( ~ ( aDivisorOf0 @ SY274 @ SV214 )
| ~ ( isPrime0 @ SY274 ) ) )
= $true )
| ( ( ( SV214 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1744,plain,
! [SV215: $i] :
( ( ( ! [SY275: $i] :
( ~ ( aDivisorOf0 @ SY275 @ SV215 )
| ~ ( isPrime0 @ SY275 ) ) )
= $true )
| ( ( ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1745,plain,
! [SV200: $i,SV208: $i] :
( ( ( aInteger0 @ SV208 )
= $false )
| ( ( aInteger0 @ SV200 )
= $false )
| ( ( SV208 = sz00 )
= $true )
| ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV200 @ SV208 ) @ cS1395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1746,plain,
! [SV201: $i,SV209: $i] :
( ( ( aInteger0 @ SV209 )
= $false )
| ( ( aInteger0 @ SV201 )
= $false )
| ( ( SV209 = sz00 )
= $true )
| ( ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV201 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1747,plain,
! [SV216: $i,SV185: $i,SV168: $i,SV212: $i] :
( ( ( ( SV212 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV212 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1748,plain,
! [SV217: $i,SV185: $i,SV168: $i,SV213: $i] :
( ( ( ( SV213 = sz00 )
| ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV213 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1749,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1750,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1751,plain,
! [SV169: $i] :
( ( ( aSet0 @ SV169 )
= $false )
| ( ( aSubsetOf0 @ ( sK2_W1 @ SV169 ) @ cS1395 )
= $false )
| ( ( isOpen0 @ ( sK2_W1 @ SV169 ) )
= $false )
| ( ( isOpen0 @ ( sbsmnsldt0 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1752,plain,
! [SV222: $i] :
( ( ~ ( aElementOf0 @ SV222 @ xS )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) )
!= SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(1753,plain,
! [SV223: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SY294: $i] :
( ( SY294 = sz00 )
| ~ ( aInteger0 @ SY294 )
| ~ ( isPrime0 @ SY294 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY294 )
!= SV223 ) ) )
| ( aElementOf0 @ SV223 @ xS ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(1754,plain,
! [SV188: $i,SV178: $i,SV161: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 )
= $true )
| ( ( SV188 = sz00 )
= $true )
| ( ( aInteger0 @ SV178 )
= $false )
| ( ( aInteger0 @ SV161 )
= $false )
| ( ( aInteger0 @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1755,plain,
! [SV190: $i,SV189: $i,SV162: $i,SV179: $i] :
( ( ( aInteger0 @ SV179 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( ~ ( aInteger0 @ SV189 ) )
= $true )
| ( ( SV189 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1756,plain,
! [SV210: $i,SV166: $i,SV206: $i] :
( ( ( aInteger0 @ SV206 )
= $false )
| ( ( aInteger0 @ SV166 )
= $false )
| ( ( ~ ( aInteger0 @ SV210 ) )
= $true )
| ( ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1757,plain,
! [SV211: $i,SV166: $i,SV207: $i] :
( ( ( aInteger0 @ SV207 )
= $false )
| ( ( aInteger0 @ SV166 )
= $false )
| ( ( ~ ( aInteger0 @ SV211 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1758,plain,
! [SV167: $i] :
( ( ( aSet0 @ SV167 )
= $false )
| ( ( ~ ( isFinite0 @ SV167 ) )
= $true )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
= $false )
| ( ( isClosed0 @ ( sK1_W1 @ SV167 ) )
= $false )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1759,plain,
! [SV196: $i] :
( ( ( ~ ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1760,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1761,plain,
! [SV219: $i] :
( ( ( ~ ( aInteger0 @ SV219 )
| ( aElementOf0 @ SV219 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV219 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1731]) ).
thf(1762,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(1763,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(1764,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1765,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1766,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1767,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1768,plain,
! [SV220: $i] :
( ( ( ( ( sdtasdt0 @ xp @ SV220 )
!= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1769,plain,
! [SV221: $i] :
( ( ( ~ ( aElementOf0 @ SV221 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ( SV221 = sz10 )
| ( SV221
= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1737]) ).
thf(1770,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1771,plain,
( ( ~ ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1772,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1773,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1774,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(1775,plain,
( ( ~ ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(1776,plain,
! [SV199: $i] :
( ( ( aDivisorOf0 @ ( sK3_W1 @ SV199 ) @ SV199 )
= $true )
| ( ( SV199
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV199 = sz10 )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1777,plain,
! [SV199: $i] :
( ( ( isPrime0 @ ( sK3_W1 @ SV199 ) )
= $true )
| ( ( SV199
= ( smndt0 @ sz10 ) )
= $true )
| ( ( SV199 = sz10 )
= $true )
| ( ( aInteger0 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1778,plain,
! [SV214: $i,SV224: $i] :
( ( ( ~ ( aDivisorOf0 @ SV224 @ SV214 )
| ~ ( isPrime0 @ SV224 ) )
= $true )
| ( ( ( SV214 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV214 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(1779,plain,
! [SV215: $i,SV225: $i] :
( ( ( ~ ( aDivisorOf0 @ SV225 @ SV215 )
| ~ ( isPrime0 @ SV225 ) )
= $true )
| ( ( ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV215 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(1780,plain,
! [SV216: $i,SV185: $i,SV168: $i,SV212: $i] :
( ( ( SV212 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV212 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1747]) ).
thf(1781,plain,
! [SV217: $i,SV185: $i,SV168: $i,SV213: $i] :
( ( ( SV213 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 )
| ~ ( aInteger0 @ SV213 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1748]) ).
thf(1782,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1749]) ).
thf(1783,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1749]) ).
thf(1784,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1750]) ).
thf(1785,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1750]) ).
thf(1786,plain,
! [SV222: $i] :
( ( ( ~ ( aElementOf0 @ SV222 @ xS ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) )
!= SV222 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1787,plain,
! [SV223: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SY294: $i] :
( ( SY294 = sz00 )
| ~ ( aInteger0 @ SY294 )
| ~ ( isPrime0 @ SY294 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY294 )
!= SV223 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1788,plain,
! [SV188: $i,SV178: $i,SV161: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV161 @ SV178 @ SV188 )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV178 @ SV161 @ SV188 )
= $true )
| ( ( SV188 = sz00 )
= $true )
| ( ( aInteger0 @ SV178 )
= $false )
| ( ( aInteger0 @ SV161 )
= $false )
| ( ( aInteger0 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1789,plain,
! [SV190: $i,SV179: $i,SV162: $i,SV189: $i] :
( ( ( aInteger0 @ SV189 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( aInteger0 @ SV179 )
= $false )
| ( ( SV189 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV190 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1790,plain,
! [SV206: $i,SV166: $i,SV210: $i] :
( ( ( aInteger0 @ SV210 )
= $false )
| ( ( aInteger0 @ SV166 )
= $false )
| ( ( aInteger0 @ SV206 )
= $false )
| ( ( ( sdtasdt0 @ SV166 @ ( sdtpldt0 @ SV206 @ SV210 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV206 ) @ ( sdtasdt0 @ SV166 @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1791,plain,
! [SV207: $i,SV166: $i,SV211: $i] :
( ( ( aInteger0 @ SV211 )
= $false )
| ( ( aInteger0 @ SV166 )
= $false )
| ( ( aInteger0 @ SV207 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV166 @ SV207 ) @ SV211 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV166 @ SV211 ) @ ( sdtasdt0 @ SV207 @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1792,plain,
! [SV167: $i] :
( ( ( isFinite0 @ SV167 )
= $false )
| ( ( aSet0 @ SV167 )
= $false )
| ( ( aSubsetOf0 @ ( sK1_W1 @ SV167 ) @ cS1395 )
= $false )
| ( ( isClosed0 @ ( sK1_W1 @ SV167 ) )
= $false )
| ( ( isClosed0 @ ( sbsmnsldt0 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1793,plain,
! [SV196: $i] :
( ( ( ! [SY259: $i] :
( ~ ( aElementOf0 @ SY259 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SY259 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1794,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1795,plain,
! [SV219: $i] :
( ( ( ~ ( aInteger0 @ SV219 ) )
= $true )
| ( ( aElementOf0 @ SV219 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV219 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1796,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1797,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1798,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1799,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1800,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1801,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1802,plain,
! [SV220: $i] :
( ( ( ( sdtasdt0 @ xp @ SV220 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1803,plain,
! [SV221: $i] :
( ( ( aElementOf0 @ SV221 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ( SV221 = sz10 )
| ( SV221
= ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1804,plain,
( ( ! [SX0: $i] :
( ( SX0 != sz10 )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1805,plain,
( ( ! [SX0: $i] :
( ( SX0
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1806,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1807,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1808,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1809,plain,
( ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1810,plain,
! [SV214: $i,SV224: $i] :
( ( ( ~ ( aDivisorOf0 @ SV224 @ SV214 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV224 ) )
= $true )
| ( ( ( SV214 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1778]) ).
thf(1811,plain,
! [SV215: $i,SV225: $i] :
( ( ( ~ ( aDivisorOf0 @ SV225 @ SV215 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV225 ) )
= $true )
| ( ( ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(1812,plain,
! [SV216: $i,SV212: $i,SV185: $i,SV168: $i] :
( ( ( ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV212 ) )
= $true )
| ( ( SV212 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1813,plain,
! [SV217: $i,SV213: $i,SV185: $i,SV168: $i] :
( ( ( ~ ( aInteger0 @ SV168 )
| ~ ( aInteger0 @ SV185 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV213 ) )
= $true )
| ( ( SV213 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1781]) ).
thf(1814,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1815,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1816,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1817,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1818,plain,
! [SV222: $i] :
( ( ( aElementOf0 @ SV222 @ xS )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) )
!= SV222 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1819,plain,
! [SV223: $i] :
( ( ( ~ ~ ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
| ~ ! [SY294: $i] :
( ( SY294 = sz00 )
| ~ ( aInteger0 @ SY294 )
| ~ ( isPrime0 @ SY294 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY294 )
!= SV223 ) ) )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1820,plain,
! [SV162: $i,SV179: $i,SV189: $i,SV190: $i] :
( ( ( aInteger0 @ SV190 )
= $false )
| ( ( SV189 = sz00 )
= $true )
| ( ( aInteger0 @ SV179 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( aInteger0 @ SV189 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
| ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1821,plain,
! [SV196: $i,SV226: $i] :
( ( ( ~ ( aElementOf0 @ SV226 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aElementOf0 @ SV226 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(1822,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1823,plain,
! [SV219: $i] :
( ( ( aInteger0 @ SV219 )
= $false )
| ( ( aElementOf0 @ SV219 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV219 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1824,plain,
! [SV227: $i] :
( ( ~ ( aElementOf0 @ SV227 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(1825,plain,
! [SV228: $i] :
( ( ~ ( aElementOf0 @ SV228 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV228 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(1826,plain,
! [SV229: $i] :
( ( ! [SY295: $i] :
( ~ ( aElementOf0 @ SY295 @ xS )
| ~ ( aElementOf0 @ SV229 @ SY295 ) )
| ~ ( aInteger0 @ SV229 )
| ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(1827,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1828,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1829,plain,
! [SV220: $i] :
( ( ( aInteger0 @ SV220 )
= $false )
| ( ( ( sdtasdt0 @ xp @ SV220 )
= ( sdtpldt0 @ ( sdtpldt0 @ sz10 @ ( smndt0 @ xp ) ) @ ( smndt0 @ sz10 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1830,plain,
! [SV221: $i] :
( ( ( SV221 = sz10 )
= $true )
| ( ( SV221
= ( smndt0 @ sz10 ) )
= $true )
| ( ( aElementOf0 @ SV221 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1803]) ).
thf(1831,plain,
! [SV230: $i] :
( ( ( SV230 != sz10 )
| ( aElementOf0 @ SV230 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(1832,plain,
! [SV231: $i] :
( ( ( SV231
!= ( smndt0 @ sz10 ) )
| ( aElementOf0 @ SV231 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(1833,plain,
! [SV232: $i] :
( ( ~ ( aInteger0 @ SV232 )
| ( aElementOf0 @ SV232 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV232 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(1834,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1835,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1836,plain,
! [SV214: $i,SV224: $i] :
( ( ( aDivisorOf0 @ SV224 @ SV214 )
= $false )
| ( ( ~ ( isPrime0 @ SV224 ) )
= $true )
| ( ( ( SV214 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1837,plain,
! [SV215: $i,SV225: $i] :
( ( ( aDivisorOf0 @ SV225 @ SV215 )
= $false )
| ( ( ~ ( isPrime0 @ SV225 ) )
= $true )
| ( ( ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1838,plain,
! [SV216: $i,SV212: $i,SV185: $i,SV168: $i] :
( ( ( ~ ( aInteger0 @ SV168 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV185 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV212 ) )
= $true )
| ( ( SV212 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1812]) ).
thf(1839,plain,
! [SV217: $i,SV213: $i,SV185: $i,SV168: $i] :
( ( ( ~ ( aInteger0 @ SV168 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV185 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV213 ) )
= $true )
| ( ( SV213 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1813]) ).
thf(1840,plain,
! [SV233: $i] :
( ( ~ ( aInteger0 @ SV233 )
| ( aElementOf0 @ SV233 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV233 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(1841,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(1842,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1843,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1844,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) )
!= SV222 ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1845,plain,
! [SV223: $i] :
( ( ( ~ ~ ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(1846,plain,
! [SV223: $i] :
( ( ( ~ ! [SY294: $i] :
( ( SY294 = sz00 )
| ~ ( aInteger0 @ SY294 )
| ~ ( isPrime0 @ SY294 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY294 )
!= SV223 ) ) )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(1847,plain,
! [SV190: $i,SV189: $i,SV179: $i,SV162: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 )
= $true )
| ( ( aInteger0 @ SV189 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( aInteger0 @ SV179 )
= $false )
| ( ( SV189 = sz00 )
= $true )
| ( ( aInteger0 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(1848,plain,
! [SV196: $i,SV226: $i] :
( ( ( ~ ( aElementOf0 @ SV226 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV226 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(1849,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1850,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1851,plain,
! [SV227: $i] :
( ( ( ~ ( aElementOf0 @ SV227 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1824]) ).
thf(1852,plain,
! [SV228: $i] :
( ( ( ~ ( aElementOf0 @ SV228 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV228 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1825]) ).
thf(1853,plain,
! [SV229: $i] :
( ( ( ! [SY295: $i] :
( ~ ( aElementOf0 @ SY295 @ xS )
| ~ ( aElementOf0 @ SV229 @ SY295 ) )
| ~ ( aInteger0 @ SV229 ) )
= $true )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1826]) ).
thf(1854,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1827]) ).
thf(1855,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1827]) ).
thf(1856,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1857,plain,
( ( ~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1858,plain,
! [SV230: $i] :
( ( ( ( SV230 != sz10 ) )
= $true )
| ( ( aElementOf0 @ SV230 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1859,plain,
! [SV231: $i] :
( ( ( ( SV231
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aElementOf0 @ SV231 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1832]) ).
thf(1860,plain,
! [SV232: $i] :
( ( ( ~ ( aInteger0 @ SV232 )
| ( aElementOf0 @ SV232 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV232 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1861,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1834]) ).
thf(1862,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1834]) ).
thf(1863,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1864,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1865,plain,
! [SV214: $i,SV224: $i] :
( ( ( isPrime0 @ SV224 )
= $false )
| ( ( aDivisorOf0 @ SV224 @ SV214 )
= $false )
| ( ( ( SV214 != sz10 ) )
= $true )
| ( ( aInteger0 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1866,plain,
! [SV215: $i,SV225: $i] :
( ( ( isPrime0 @ SV225 )
= $false )
| ( ( aDivisorOf0 @ SV225 @ SV215 )
= $false )
| ( ( ( SV215
!= ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aInteger0 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1867,plain,
! [SV216: $i,SV212: $i,SV185: $i,SV168: $i] :
( ( ( aInteger0 @ SV168 )
= $false )
| ( ( ~ ( aInteger0 @ SV185 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV212 ) )
= $true )
| ( ( SV212 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1868,plain,
! [SV217: $i,SV213: $i,SV185: $i,SV168: $i] :
( ( ( aInteger0 @ SV168 )
= $false )
| ( ( ~ ( aInteger0 @ SV185 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV213 ) )
= $true )
| ( ( SV213 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1869,plain,
! [SV233: $i] :
( ( ( ~ ( aInteger0 @ SV233 )
| ( aElementOf0 @ SV233 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV233 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1840]) ).
thf(1870,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(1871,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(1872,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1873,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1874,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(1875,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(1876,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1877,plain,
! [SV222: $i] :
( ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) )
!= SV222 ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1878,plain,
! [SV223: $i] :
( ( ( ~ ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(1879,plain,
! [SV223: $i] :
( ( ( ! [SY294: $i] :
( ( SY294 = sz00 )
| ~ ( aInteger0 @ SY294 )
| ~ ( isPrime0 @ SY294 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY294 )
!= SV223 ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(1880,plain,
! [SV190: $i,SV189: $i,SV179: $i,SV162: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 )
= $true )
| ( ( aInteger0 @ SV189 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( aInteger0 @ SV179 )
= $false )
| ( ( SV189 = sz00 )
= $true )
| ( ( aInteger0 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1847]) ).
thf(1881,plain,
! [SV196: $i,SV226: $i] :
( ( ( aElementOf0 @ SV226 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV226 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1882,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(1883,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1884,plain,
! [SV227: $i] :
( ( ( aElementOf0 @ SV227 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1885,plain,
! [SV228: $i] :
( ( ( aElementOf0 @ SV228 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV228 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1886,plain,
! [SV229: $i] :
( ( ( ! [SY295: $i] :
( ~ ( aElementOf0 @ SY295 @ xS )
| ~ ( aElementOf0 @ SV229 @ SY295 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV229 ) )
= $true )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1853]) ).
thf(1887,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK9_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1888,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1889,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1856]) ).
thf(1890,plain,
( ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(1891,plain,
! [SV230: $i] :
( ( ( SV230 = sz10 )
= $false )
| ( ( aElementOf0 @ SV230 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1892,plain,
! [SV231: $i] :
( ( ( SV231
= ( smndt0 @ sz10 ) )
= $false )
| ( ( aElementOf0 @ SV231 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1893,plain,
! [SV232: $i] :
( ( ( ~ ( aInteger0 @ SV232 ) )
= $true )
| ( ( aElementOf0 @ SV232 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV232 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1860]) ).
thf(1894,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(1895,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1862]) ).
thf(1896,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(1897,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1864]) ).
thf(1898,plain,
! [SV224: $i,SV214: $i] :
( ( ( SV214 = sz10 )
= $false )
| ( ( aDivisorOf0 @ SV224 @ SV214 )
= $false )
| ( ( isPrime0 @ SV224 )
= $false )
| ( ( aInteger0 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1865]) ).
thf(1899,plain,
! [SV225: $i,SV215: $i] :
( ( ( SV215
= ( smndt0 @ sz10 ) )
= $false )
| ( ( aDivisorOf0 @ SV225 @ SV215 )
= $false )
| ( ( isPrime0 @ SV225 )
= $false )
| ( ( aInteger0 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1900,plain,
! [SV216: $i,SV212: $i,SV168: $i,SV185: $i] :
( ( ( aInteger0 @ SV185 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( ~ ( aInteger0 @ SV212 ) )
= $true )
| ( ( SV212 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1867]) ).
thf(1901,plain,
! [SV217: $i,SV213: $i,SV168: $i,SV185: $i] :
( ( ( aInteger0 @ SV185 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( ~ ( aInteger0 @ SV213 ) )
= $true )
| ( ( SV213 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1902,plain,
! [SV233: $i] :
( ( ( ~ ( aInteger0 @ SV233 ) )
= $true )
| ( ( aElementOf0 @ SV233 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV233 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1869]) ).
thf(1903,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1870]) ).
thf(1904,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1871]) ).
thf(1905,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1872]) ).
thf(1906,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1873]) ).
thf(1907,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(1908,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(1909,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(1910,plain,
! [SV222: $i] :
( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) )
= SV222 )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1911,plain,
! [SV223: $i] :
( ( ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(1912,plain,
! [SV223: $i,SV234: $i] :
( ( ( ( SV234 = sz00 )
| ~ ( aInteger0 @ SV234 )
| ~ ( isPrime0 @ SV234 )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
!= SV223 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(1913,plain,
! [SV190: $i,SV189: $i,SV179: $i,SV162: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 )
= $true )
| ( ( aInteger0 @ SV189 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( aInteger0 @ SV179 )
= $false )
| ( ( SV189 = sz00 )
= $true )
| ( ( aInteger0 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(1914,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(1915,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(1916,plain,
! [SV228: $i] :
( ( ( aElementOf0 @ SV228 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV228 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1917,plain,
! [SV229: $i,SV235: $i] :
( ( ( ~ ( aElementOf0 @ SV235 @ xS )
| ~ ( aElementOf0 @ SV229 @ SV235 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV229 ) )
= $true )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(1918,plain,
! [SV236: $i] :
( ( ~ ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SV236 ) @ xS )
| ~ ( aElementOf0 @ SV236 @ ( sK9_W1 @ SV236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(1919,plain,
! [SV237: $i] :
( ( ~ ( aElementOf0 @ SV237 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(1920,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(1921,plain,
! [SV232: $i] :
( ( ( aInteger0 @ SV232 )
= $false )
| ( ( aElementOf0 @ SV232 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV232 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(1922,plain,
! [SV238: $i] :
( ( ~ ( aElementOf0 @ SV238 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(1923,plain,
! [SV239: $i] :
( ( ~ ( aElementOf0 @ SV239 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV239 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(1924,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(1925,plain,
! [SV216: $i,SV185: $i,SV168: $i,SV212: $i] :
( ( ( aInteger0 @ SV212 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( SV212 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV216 ) )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(1926,plain,
! [SV217: $i,SV185: $i,SV168: $i,SV213: $i] :
( ( ( aInteger0 @ SV213 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( SV213 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV217 ) )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(1927,plain,
! [SV233: $i] :
( ( ( aInteger0 @ SV233 )
= $false )
| ( ( aElementOf0 @ SV233 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV233 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(1928,plain,
! [SV240: $i] :
( ( ~ ( aElementOf0 @ SV240 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(1929,plain,
! [SV241: $i] :
( ( ~ ( aElementOf0 @ SV241 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV241 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1904]) ).
thf(1930,plain,
! [SV242: $i] :
( ( ! [SY296: $i] :
( ~ ( aElementOf0 @ SY296 @ xS )
| ~ ( aElementOf0 @ SV242 @ SY296 ) )
| ~ ( aInteger0 @ SV242 )
| ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(1931,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(1932,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(1933,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1934,plain,
! [SV223: $i] :
( ( ( ~ ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1911]) ).
thf(1935,plain,
! [SV223: $i] :
( ( ( ~ ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1911]) ).
thf(1936,plain,
! [SV223: $i,SV234: $i] :
( ( ( ( SV234 = sz00 )
| ~ ( aInteger0 @ SV234 )
| ~ ( isPrime0 @ SV234 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
!= SV223 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1912]) ).
thf(1937,plain,
! [SV162: $i,SV189: $i,SV190: $i,SV179: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV179 @ SV190 @ SV189 )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV179 @ SV189 )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV162 @ SV190 @ SV189 )
= $true )
| ( ( aInteger0 @ SV189 )
= $false )
| ( ( aInteger0 @ SV162 )
= $false )
| ( ( aInteger0 @ SV179 )
= $false )
| ( ( SV189 = sz00 )
= $true )
| ( ( aInteger0 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(1938,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1939,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1940,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(1941,plain,
! [SV196: $i] :
( ( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(1942,plain,
! [SV229: $i,SV235: $i] :
( ( ( ~ ( aElementOf0 @ SV235 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV229 @ SV235 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV229 ) )
= $true )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(1943,plain,
! [SV236: $i] :
( ( ( ~ ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SV236 ) @ xS )
| ~ ( aElementOf0 @ SV236 @ ( sK9_W1 @ SV236 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1918]) ).
thf(1944,plain,
! [SV237: $i] :
( ( ( ~ ( aElementOf0 @ SV237 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV237 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1919]) ).
thf(1945,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(1946,plain,
( ( ~ ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(1947,plain,
! [SV238: $i] :
( ( ( ~ ( aElementOf0 @ SV238 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV238 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1922]) ).
thf(1948,plain,
! [SV239: $i] :
( ( ( ~ ( aElementOf0 @ SV239 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV239 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(1949,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1950,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1951,plain,
! [SV168: $i,SV185: $i,SV212: $i,SV216: $i] :
( ( ( aInteger0 @ SV216 )
= $false )
| ( ( SV212 = sz00 )
= $true )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV212 )
= $false )
| ( ( SV216 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1925]) ).
thf(1952,plain,
! [SV168: $i,SV185: $i,SV213: $i,SV217: $i] :
( ( ( aInteger0 @ SV217 )
= $false )
| ( ( SV213 = sz00 )
= $true )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV213 )
= $false )
| ( ( SV217 = sz00 )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(1953,plain,
! [SV240: $i] :
( ( ( ~ ( aElementOf0 @ SV240 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1928]) ).
thf(1954,plain,
! [SV241: $i] :
( ( ( ~ ( aElementOf0 @ SV241 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV241 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1929]) ).
thf(1955,plain,
! [SV242: $i] :
( ( ( ! [SY296: $i] :
( ~ ( aElementOf0 @ SY296 @ xS )
| ~ ( aElementOf0 @ SV242 @ SY296 ) )
| ~ ( aInteger0 @ SV242 ) )
= $true )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1930]) ).
thf(1956,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1931]) ).
thf(1957,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1931]) ).
thf(1958,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(1959,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(1960,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(1961,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(1962,plain,
! [SV223: $i] :
( ( ( ! [SY284: $i] :
( ( SY284 = sz00 )
| ~ ( aInteger0 @ SY284 )
| ~ ( isPrime0 @ SY284 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY285: $i] :
( ~ ( aElementOf0 @ SY285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ~ ( ( ( sdtasdt0 @ SY284 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) )
!= ( sdtpldt0 @ SY285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY285 @ SY284 @ SV223 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aInteger0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) )
| ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX2 @ sz00 @ SY284 )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SY284 @ SX3 )
!= ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SX3 ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aInteger0 @ SX2 )
| ~ ( aDivisorOf0 @ SY284 @ ( sdtpldt0 @ SX2 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SX2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SY284 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1934]) ).
thf(1963,plain,
! [SV223: $i] :
( ( ( ! [SX1: $i] :
( ( SX1 = sz00 )
| ~ ( aInteger0 @ SX1 )
| ~ ( isPrime0 @ SX1 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SX1 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(1964,plain,
! [SV223: $i,SV234: $i] :
( ( ( ( SV234 = sz00 )
| ~ ( aInteger0 @ SV234 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV234 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
!= SV223 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1936]) ).
thf(1965,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1938]) ).
thf(1966,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(1967,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(1968,plain,
! [SV196: $i] :
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1941]) ).
thf(1969,plain,
! [SV229: $i,SV235: $i] :
( ( ( aElementOf0 @ SV235 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV229 @ SV235 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV229 ) )
= $true )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(1970,plain,
! [SV236: $i] :
( ( ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK9_W1 @ SV236 ) @ xS )
| ~ ( aElementOf0 @ SV236 @ ( sK9_W1 @ SV236 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(1971,plain,
! [SV237: $i] :
( ( ( aElementOf0 @ SV237 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV237 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(1972,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(1973,plain,
( ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(1974,plain,
! [SV238: $i] :
( ( ( aElementOf0 @ SV238 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV238 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(1975,plain,
! [SV239: $i] :
( ( ( aElementOf0 @ SV239 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV239 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(1976,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1949]) ).
thf(1977,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1950]) ).
thf(1978,plain,
! [SV216: $i,SV212: $i,SV185: $i,SV168: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( aInteger0 @ SV212 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( SV212 = sz00 )
= $true )
| ( ( aInteger0 @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1951]) ).
thf(1979,plain,
! [SV217: $i,SV213: $i,SV185: $i,SV168: $i] :
( ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( aInteger0 @ SV213 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( SV213 = sz00 )
= $true )
| ( ( aInteger0 @ SV217 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1952]) ).
thf(1980,plain,
! [SV240: $i] :
( ( ( aElementOf0 @ SV240 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1953]) ).
thf(1981,plain,
! [SV241: $i] :
( ( ( aElementOf0 @ SV241 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV241 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1954]) ).
thf(1982,plain,
! [SV242: $i] :
( ( ( ! [SY296: $i] :
( ~ ( aElementOf0 @ SY296 @ xS )
| ~ ( aElementOf0 @ SV242 @ SY296 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV242 ) )
= $true )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(1983,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK5_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(1984,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(1985,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(1986,plain,
( ( ~ ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1959]) ).
thf(1987,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1960]) ).
thf(1988,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(1989,plain,
! [SV223: $i,SV243: $i] :
( ( ( ( SV243 = sz00 )
| ~ ( aInteger0 @ SV243 )
| ~ ( isPrime0 @ SV243 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(1990,plain,
! [SV223: $i,SV244: $i] :
( ( ( ( SV244 = sz00 )
| ~ ( aInteger0 @ SV244 )
| ~ ( isPrime0 @ SV244 )
| ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV244 ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(1991,plain,
! [SV223: $i,SV234: $i] :
( ( ( SV234 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV234 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV234 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
!= SV223 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(1992,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
| ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1965]) ).
thf(1993,plain,
! [SV196: $i] :
( ( ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1966]) ).
thf(1994,plain,
! [SV196: $i] :
( ( ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(1995,plain,
! [SV235: $i,SV229: $i] :
( ( ( aElementOf0 @ SV229 @ SV235 )
= $false )
| ( ( aElementOf0 @ SV235 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV229 ) )
= $true )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1969]) ).
thf(1996,plain,
! [SV236: $i] :
( ( ( ~ ( aElementOf0 @ ( sK9_W1 @ SV236 ) @ xS )
| ~ ( aElementOf0 @ SV236 @ ( sK9_W1 @ SV236 ) ) )
= $false )
| ( ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(1997,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(1998,plain,
! [SV239: $i] :
( ( ( aElementOf0 @ SV239 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV239 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(1999,plain,
! [SV245: $i] :
( ( ! [SY305: $i] :
( ~ ( aElementOf0 @ SY305 @ xS )
| ~ ( aElementOf0 @ SV245 @ SY305 ) )
| ~ ( aInteger0 @ SV245 )
| ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2000,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1977]) ).
thf(2001,plain,
! [SV216: $i,SV212: $i,SV185: $i,SV168: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV212 @ SV216 ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV212 )
= $true )
| ( ( SV216 = sz00 )
= $true )
| ( ( aInteger0 @ SV212 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( SV212 = sz00 )
= $true )
| ( ( aInteger0 @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1978]) ).
thf(2002,plain,
! [SV217: $i,SV213: $i,SV185: $i,SV168: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ ( sdtasdt0 @ SV213 @ SV217 ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV168 @ SV185 @ SV217 )
= $true )
| ( ( SV217 = sz00 )
= $true )
| ( ( aInteger0 @ SV213 )
= $false )
| ( ( aInteger0 @ SV168 )
= $false )
| ( ( aInteger0 @ SV185 )
= $false )
| ( ( SV213 = sz00 )
= $true )
| ( ( aInteger0 @ SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1979]) ).
thf(2003,plain,
! [SV241: $i] :
( ( ( aElementOf0 @ SV241 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV241 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1981]) ).
thf(2004,plain,
! [SV242: $i,SV246: $i] :
( ( ( ~ ( aElementOf0 @ SV246 @ xS )
| ~ ( aElementOf0 @ SV242 @ SV246 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV242 ) )
= $true )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2005,plain,
! [SV247: $i] :
( ( ~ ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SV247 ) @ xS )
| ~ ( aElementOf0 @ SV247 @ ( sK5_W1 @ SV247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2006,plain,
! [SV248: $i] :
( ( ~ ( aElementOf0 @ SV248 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2007,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1985]) ).
thf(2008,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1986]) ).
thf(2009,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(2010,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1988]) ).
thf(2011,plain,
! [SV223: $i,SV243: $i] :
( ( ( ( SV243 = sz00 )
| ~ ( aInteger0 @ SV243 )
| ~ ( isPrime0 @ SV243 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1989]) ).
thf(2012,plain,
! [SV223: $i,SV244: $i] :
( ( ( ( SV244 = sz00 )
| ~ ( aInteger0 @ SV244 )
| ~ ( isPrime0 @ SV244 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV244 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1990]) ).
thf(2013,plain,
! [SV223: $i,SV234: $i] :
( ( ( aInteger0 @ SV234 )
= $false )
| ( ( SV234 = sz00 )
= $true )
| ( ( ~ ( isPrime0 @ SV234 ) )
= $true )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
!= SV223 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1991]) ).
thf(2014,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2015,plain,
! [SV196: $i] :
( ( ( ~ ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2016,plain,
! [SV196: $i] :
( ( ( ~ ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2017,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2018,plain,
! [SV196: $i] :
( ( ( ~ ( ( ( sK10_W1 @ SV196 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1994]) ).
thf(2019,plain,
! [SV196: $i] :
( ( ( ~ ( aInteger0 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1994]) ).
thf(2020,plain,
! [SV235: $i,SV229: $i] :
( ( ( aInteger0 @ SV229 )
= $false )
| ( ( aElementOf0 @ SV235 @ xS )
= $false )
| ( ( aElementOf0 @ SV229 @ SV235 )
= $false )
| ( ( aElementOf0 @ SV229 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1995]) ).
thf(2021,plain,
! [SV236: $i] :
( ( ( ~ ( aElementOf0 @ ( sK9_W1 @ SV236 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2022,plain,
! [SV236: $i] :
( ( ( ~ ( aElementOf0 @ SV236 @ ( sK9_W1 @ SV236 ) ) )
= $false )
| ( ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2023,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2024,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2025,plain,
! [SV245: $i] :
( ( ( ! [SY305: $i] :
( ~ ( aElementOf0 @ SY305 @ xS )
| ~ ( aElementOf0 @ SV245 @ SY305 ) )
| ~ ( aInteger0 @ SV245 ) )
= $true )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1999]) ).
thf(2026,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2027,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2028,plain,
! [SV242: $i,SV246: $i] :
( ( ( ~ ( aElementOf0 @ SV246 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV242 @ SV246 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV242 ) )
= $true )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2004]) ).
thf(2029,plain,
! [SV247: $i] :
( ( ( ~ ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SV247 ) @ xS )
| ~ ( aElementOf0 @ SV247 @ ( sK5_W1 @ SV247 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2005]) ).
thf(2030,plain,
! [SV248: $i] :
( ( ( ~ ( aElementOf0 @ SV248 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV248 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2006]) ).
thf(2031,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2032,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2033,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2034,plain,
( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2008]) ).
thf(2035,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2009]) ).
thf(2036,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2009]) ).
thf(2037,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2010]) ).
thf(2038,plain,
! [SV222: $i] :
( ( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2010]) ).
thf(2039,plain,
! [SV223: $i,SV243: $i] :
( ( ( ( SV243 = sz00 )
| ~ ( aInteger0 @ SV243 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV243 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2040,plain,
! [SV223: $i,SV244: $i] :
( ( ( ( SV244 = sz00 )
| ~ ( aInteger0 @ SV244 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV244 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV244 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2012]) ).
thf(2041,plain,
! [SV223: $i,SV234: $i] :
( ( ( isPrime0 @ SV234 )
= $false )
| ( ( SV234 = sz00 )
= $true )
| ( ( aInteger0 @ SV234 )
= $false )
| ( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
!= SV223 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2013]) ).
thf(2042,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2043,plain,
! [SV196: $i] :
( ( ( ! [SY263: $i] :
( ~ ( aElementOf0 @ SY263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY263 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2044,plain,
! [SV196: $i] :
( ( ( ! [SY264: $i] :
( ~ ( aInteger0 @ SY264 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY264 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SY264 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2045,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2046,plain,
! [SV196: $i] :
( ( ( ( ( sK10_W1 @ SV196 )
!= sz00 ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2047,plain,
! [SV196: $i] :
( ( ( aInteger0 @ ( sK10_W1 @ SV196 ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2048,plain,
! [SV236: $i] :
( ( ( aElementOf0 @ ( sK9_W1 @ SV236 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2049,plain,
! [SV236: $i] :
( ( ( aElementOf0 @ SV236 @ ( sK9_W1 @ SV236 ) )
= $true )
| ( ( aElementOf0 @ SV236 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2050,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ ( sK8_SY98 @ SX1 @ SX0 ) )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aInteger0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX1 @ SX0 @ ( sK7_W1 @ SX0 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ! [SX2: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SX0 ) @ SX2 )
!= ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ~ ( aInteger0 @ SX2 ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( aInteger0 @ SX1 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SX0 ) @ ( sdtpldt0 @ SX1 @ ( smndt0 @ SX0 ) ) )
| ( aElementOf0 @ SX1 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SX0 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SX0 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SX0 @ ( sK7_W1 @ SX0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2051,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2052,plain,
! [SV245: $i] :
( ( ( ! [SY305: $i] :
( ~ ( aElementOf0 @ SY305 @ xS )
| ~ ( aElementOf0 @ SV245 @ SY305 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV245 ) )
= $true )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2025]) ).
thf(2053,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK12_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2054,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2055,plain,
! [SV242: $i,SV246: $i] :
( ( ( aElementOf0 @ SV246 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV242 @ SV246 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV242 ) )
= $true )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2056,plain,
! [SV247: $i] :
( ( ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK5_W1 @ SV247 ) @ xS )
| ~ ( aElementOf0 @ SV247 @ ( sK5_W1 @ SV247 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2057,plain,
! [SV248: $i] :
( ( ( aElementOf0 @ SV248 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV248 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2058,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2031]) ).
thf(2059,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2032]) ).
thf(2060,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2061,plain,
( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2062,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2063,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2064,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2037]) ).
thf(2065,plain,
! [SV222: $i] :
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2066,plain,
! [SV223: $i,SV243: $i] :
( ( ( SV243 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV243 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV243 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2039]) ).
thf(2067,plain,
! [SV223: $i,SV244: $i] :
( ( ( SV244 = sz00 )
= $true )
| ( ( ~ ( aInteger0 @ SV244 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV244 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV244 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2040]) ).
thf(2068,plain,
! [SV223: $i,SV234: $i] :
( ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV234 )
= SV223 )
= $false )
| ( ( aInteger0 @ SV234 )
= $false )
| ( ( SV234 = sz00 )
= $true )
| ( ( isPrime0 @ SV234 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2041]) ).
thf(2069,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
| ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2042]) ).
thf(2070,plain,
! [SV196: $i,SV249: $i] :
( ( ( ~ ( aElementOf0 @ SV249 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SV249 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2071,plain,
! [SV196: $i,SV250: $i] :
( ( ( ~ ( aInteger0 @ SV250 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV250 @ SV196 @ ( sK10_W1 @ SV196 ) )
| ( aElementOf0 @ SV250 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2072,plain,
! [SV196: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
| ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2045]) ).
thf(2073,plain,
! [SV196: $i] :
( ( ( ( sK10_W1 @ SV196 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2074,plain,
! [SV251: $i] :
( ( ~ ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( ~ ~ ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2075,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2051]) ).
thf(2076,plain,
! [SV245: $i,SV252: $i] :
( ( ( ~ ( aElementOf0 @ SV252 @ xS )
| ~ ( aElementOf0 @ SV245 @ SV252 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV245 ) )
= $true )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2077,plain,
! [SV253: $i] :
( ( ~ ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SV253 ) @ xS )
| ~ ( aElementOf0 @ SV253 @ ( sK12_W1 @ SV253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2078,plain,
! [SV254: $i] :
( ( ~ ( aElementOf0 @ SV254 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2079,plain,
! [SV246: $i,SV242: $i] :
( ( ( aElementOf0 @ SV242 @ SV246 )
= $false )
| ( ( aElementOf0 @ SV246 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV242 ) )
= $true )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2080,plain,
! [SV247: $i] :
( ( ( ~ ( aElementOf0 @ ( sK5_W1 @ SV247 ) @ xS )
| ~ ( aElementOf0 @ SV247 @ ( sK5_W1 @ SV247 ) ) )
= $false )
| ( ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2081,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2082,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2083,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( aInteger0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2060]) ).
thf(2084,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2085,plain,
! [SV222: $i] :
( ( ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2086,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2087,plain,
! [SV223: $i,SV243: $i] :
( ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( ~ ( isPrime0 @ SV243 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2088,plain,
! [SV223: $i,SV244: $i] :
( ( ( aInteger0 @ SV244 )
= $false )
| ( ( SV244 = sz00 )
= $true )
| ( ( ~ ( isPrime0 @ SV244 ) )
= $true )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV244 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2089,plain,
! [SV196: $i] :
( ( ( ~ ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2069]) ).
thf(2090,plain,
! [SV196: $i] :
( ( ( ~ ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2069]) ).
thf(2091,plain,
! [SV196: $i,SV249: $i] :
( ( ( ~ ( aElementOf0 @ SV249 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV249 @ SV196 @ ( sK10_W1 @ SV196 ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2070]) ).
thf(2092,plain,
! [SV196: $i,SV250: $i] :
( ( ( ~ ( aInteger0 @ SV250 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV250 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV250 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2093,plain,
! [SV196: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2072]) ).
thf(2094,plain,
! [SV196: $i] :
( ( ( ~ ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2072]) ).
thf(2095,plain,
! [SV251: $i] :
( ( ( ~ ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2096,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2075]) ).
thf(2097,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2075]) ).
thf(2098,plain,
! [SV245: $i,SV252: $i] :
( ( ( ~ ( aElementOf0 @ SV252 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV245 @ SV252 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV245 ) )
= $true )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2099,plain,
! [SV253: $i] :
( ( ( ~ ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SV253 ) @ xS )
| ~ ( aElementOf0 @ SV253 @ ( sK12_W1 @ SV253 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2077]) ).
thf(2100,plain,
! [SV254: $i] :
( ( ( ~ ( aElementOf0 @ SV254 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV254 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2078]) ).
thf(2101,plain,
! [SV246: $i,SV242: $i] :
( ( ( aInteger0 @ SV242 )
= $false )
| ( ( aElementOf0 @ SV246 @ xS )
= $false )
| ( ( aElementOf0 @ SV242 @ SV246 )
= $false )
| ( ( aElementOf0 @ SV242 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2102,plain,
! [SV247: $i] :
( ( ( ~ ( aElementOf0 @ ( sK5_W1 @ SV247 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2080]) ).
thf(2103,plain,
! [SV247: $i] :
( ( ( ~ ( aElementOf0 @ SV247 @ ( sK5_W1 @ SV247 ) ) )
= $false )
| ( ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2080]) ).
thf(2104,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2081]) ).
thf(2105,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2081]) ).
thf(2106,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2107,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2108,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2083]) ).
thf(2109,plain,
( ( ~ ( aInteger0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2083]) ).
thf(2110,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2111,plain,
! [SV222: $i] :
( ( ( ~ ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2112,plain,
! [SV222: $i] :
( ( ( ~ ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2085]) ).
thf(2113,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2085]) ).
thf(2114,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2086]) ).
thf(2115,plain,
! [SV222: $i] :
( ( ( ~ ( isPrime0 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2086]) ).
thf(2116,plain,
! [SV223: $i,SV243: $i] :
( ( ( isPrime0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2117,plain,
! [SV223: $i,SV244: $i] :
( ( ( isPrime0 @ SV244 )
= $false )
| ( ( SV244 = sz00 )
= $true )
| ( ( aInteger0 @ SV244 )
= $false )
| ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV244 ) )
= $true )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2088]) ).
thf(2118,plain,
! [SV196: $i] :
( ( ( ~ ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2119,plain,
! [SV196: $i] :
( ( ( ! [SY262: $i] :
( ~ ( aElementOf0 @ SY262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY262 @ ( smndt0 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2120,plain,
! [SV196: $i,SV249: $i] :
( ( ( aElementOf0 @ SV249 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV249 @ SV196 @ ( sK10_W1 @ SV196 ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2121,plain,
! [SV196: $i,SV250: $i] :
( ( ( ~ ( aInteger0 @ SV250 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV250 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV250 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2092]) ).
thf(2122,plain,
! [SV196: $i] :
( ( ( ! [SY265: $i] :
( ~ ( aInteger0 @ SY265 )
| ! [SY266: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY266 )
!= ( sdtpldt0 @ SY265 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY266 ) )
| ( aElementOf0 @ SY265 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2123,plain,
! [SV196: $i] :
( ( ( ! [SY267: $i] :
( ~ ( aInteger0 @ SY267 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SY267 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SY267 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2124,plain,
! [SV251: $i] :
( ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2095]) ).
thf(2125,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(2126,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2097]) ).
thf(2127,plain,
! [SV245: $i,SV252: $i] :
( ( ( aElementOf0 @ SV252 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV245 @ SV252 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV245 ) )
= $true )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2128,plain,
! [SV253: $i] :
( ( ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK12_W1 @ SV253 ) @ xS )
| ~ ( aElementOf0 @ SV253 @ ( sK12_W1 @ SV253 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2099]) ).
thf(2129,plain,
! [SV254: $i] :
( ( ( aElementOf0 @ SV254 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV254 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2130,plain,
! [SV247: $i] :
( ( ( aElementOf0 @ ( sK5_W1 @ SV247 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2102]) ).
thf(2131,plain,
! [SV247: $i] :
( ( ( aElementOf0 @ SV247 @ ( sK5_W1 @ SV247 ) )
= $true )
| ( ( aElementOf0 @ SV247 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2103]) ).
thf(2132,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2104]) ).
thf(2133,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2105]) ).
thf(2134,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SX0 @ sz10 @ xp )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2106]) ).
thf(2135,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2107]) ).
thf(2136,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2108]) ).
thf(2137,plain,
( ( aInteger0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2109]) ).
thf(2138,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2110]) ).
thf(2139,plain,
! [SV222: $i] :
( ( ( ! [SY279: $i] :
( ~ ( aElementOf0 @ SY279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY279 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2111]) ).
thf(2140,plain,
! [SV222: $i] :
( ( ( ! [SY280: $i] :
( ~ ( aInteger0 @ SY280 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY280 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SY280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2112]) ).
thf(2141,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2113]) ).
thf(2142,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2114]) ).
thf(2143,plain,
! [SV222: $i] :
( ( ( isPrime0 @ ( sK14_W1 @ SV222 ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2115]) ).
thf(2144,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2145,plain,
! [SV196: $i] :
( ( ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) )
| ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2146,plain,
! [SV196: $i,SV255: $i] :
( ( ( ~ ( aElementOf0 @ SV255 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV255 @ ( smndt0 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2147,plain,
! [SV196: $i,SV250: $i] :
( ( ( aInteger0 @ SV250 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV250 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV250 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2148,plain,
! [SV196: $i,SV256: $i] :
( ( ( ~ ( aInteger0 @ SV256 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY315 )
!= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY315 ) )
| ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2149,plain,
! [SV196: $i,SV257: $i] :
( ( ( ~ ( aInteger0 @ SV257 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV257 @ ( smndt0 @ SV196 ) ) )
| ( aElementOf0 @ SV257 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2150,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
| ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2151,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2152,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
| ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2153,plain,
! [SV252: $i,SV245: $i] :
( ( ( aElementOf0 @ SV245 @ SV252 )
= $false )
| ( ( aElementOf0 @ SV252 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV245 ) )
= $true )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2154,plain,
! [SV253: $i] :
( ( ( ~ ( aElementOf0 @ ( sK12_W1 @ SV253 ) @ xS )
| ~ ( aElementOf0 @ SV253 @ ( sK12_W1 @ SV253 ) ) )
= $false )
| ( ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2128]) ).
thf(2155,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2132]) ).
thf(2156,plain,
! [SV258: $i] :
( ( ~ ( aElementOf0 @ SV258 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( sdteqdtlpzmzozddtrp0 @ SV258 @ sz10 @ xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2157,plain,
! [SV259: $i] :
( ( ~ ( aInteger0 @ SV259 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV259 @ sz10 @ xp )
| ( aElementOf0 @ SV259 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2158,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
| ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2159,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2136]) ).
thf(2160,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2138]) ).
thf(2161,plain,
! [SV222: $i,SV260: $i] :
( ( ( ~ ( aElementOf0 @ SV260 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SV260 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2162,plain,
! [SV222: $i,SV261: $i] :
( ( ( ~ ( aInteger0 @ SV261 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV261 @ sz00 @ ( sK14_W1 @ SV222 ) )
| ( aElementOf0 @ SV261 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2163,plain,
! [SV222: $i] :
( ( ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2164,plain,
! [SV222: $i] :
( ( ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2142]) ).
thf(2165,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2166,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2167,plain,
! [SV196: $i] :
( ( ( ~ ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2145]) ).
thf(2168,plain,
! [SV196: $i] :
( ( ( ~ ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2145]) ).
thf(2169,plain,
! [SV196: $i,SV255: $i] :
( ( ( ~ ( aElementOf0 @ SV255 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV255 @ ( smndt0 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2146]) ).
thf(2170,plain,
! [SV196: $i,SV250: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV250 @ SV196 @ ( sK10_W1 @ SV196 ) )
= $false )
| ( ( aInteger0 @ SV250 )
= $false )
| ( ( aElementOf0 @ SV250 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2171,plain,
! [SV196: $i,SV256: $i] :
( ( ( ~ ( aInteger0 @ SV256 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY315 )
!= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY315 ) ) )
= $true )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2148]) ).
thf(2172,plain,
! [SV196: $i,SV257: $i] :
( ( ( ~ ( aInteger0 @ SV257 )
| ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV257 @ ( smndt0 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV257 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2149]) ).
thf(2173,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2174,plain,
! [SV251: $i] :
( ( ( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2175,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2151]) ).
thf(2176,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2151]) ).
thf(2177,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2152]) ).
thf(2178,plain,
( ( ~ ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2152]) ).
thf(2179,plain,
! [SV252: $i,SV245: $i] :
( ( ( aInteger0 @ SV245 )
= $false )
| ( ( aElementOf0 @ SV252 @ xS )
= $false )
| ( ( aElementOf0 @ SV245 @ SV252 )
= $false )
| ( ( aElementOf0 @ SV245 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2180,plain,
! [SV253: $i] :
( ( ( ~ ( aElementOf0 @ ( sK12_W1 @ SV253 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2154]) ).
thf(2181,plain,
! [SV253: $i] :
( ( ( ~ ( aElementOf0 @ SV253 @ ( sK12_W1 @ SV253 ) ) )
= $false )
| ( ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2154]) ).
thf(2182,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2155]) ).
thf(2183,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2155]) ).
thf(2184,plain,
! [SV258: $i] :
( ( ( ~ ( aElementOf0 @ SV258 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV258 @ sz10 @ xp )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2156]) ).
thf(2185,plain,
! [SV259: $i] :
( ( ( ~ ( aInteger0 @ SV259 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV259 @ sz10 @ xp ) )
= $true )
| ( ( aElementOf0 @ SV259 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2157]) ).
thf(2186,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2187,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2188,plain,
! [SV222: $i] :
( ( ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2189,plain,
! [SV222: $i] :
( ( ( ~ ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2190,plain,
! [SV222: $i,SV260: $i] :
( ( ( ~ ( aElementOf0 @ SV260 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV260 @ sz00 @ ( sK14_W1 @ SV222 ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2161]) ).
thf(2191,plain,
! [SV222: $i,SV261: $i] :
( ( ( ~ ( aInteger0 @ SV261 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV261 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV261 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2162]) ).
thf(2192,plain,
! [SV222: $i] :
( ( ( ~ ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2193,plain,
! [SV222: $i] :
( ( ( ~ ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2194,plain,
! [SV222: $i] :
( ( ( ~ ( ( ( sK14_W1 @ SV222 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2195,plain,
! [SV222: $i] :
( ( ( ~ ( aInteger0 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2196,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2165]) ).
thf(2197,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2166]) ).
thf(2198,plain,
! [SV196: $i] :
( ( ( ! [SY260: $i] :
( ~ ( aElementOf0 @ SY260 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SY260 @ SV196 ) )
!= ( sdtpldt0 @ SY260 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SY260 @ SV196 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2167]) ).
thf(2199,plain,
! [SV196: $i] :
( ( ( ! [SY261: $i] :
( ~ ( aElementOf0 @ SY261 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SY261 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2168]) ).
thf(2200,plain,
! [SV196: $i,SV255: $i] :
( ( ( aElementOf0 @ SV255 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV255 @ ( smndt0 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2201,plain,
! [SV196: $i,SV256: $i] :
( ( ( ~ ( aInteger0 @ SV256 ) )
= $true )
| ( ( ! [SY315: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY315 )
!= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY315 ) ) )
= $true )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2171]) ).
thf(2202,plain,
! [SV196: $i,SV257: $i] :
( ( ( ~ ( aInteger0 @ SV257 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV257 @ ( smndt0 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV257 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2172]) ).
thf(2203,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2204,plain,
! [SV251: $i] :
( ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2205,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2206,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2176]) ).
thf(2207,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2208,plain,
( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2209,plain,
! [SV253: $i] :
( ( ( aElementOf0 @ ( sK12_W1 @ SV253 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2210,plain,
! [SV253: $i] :
( ( ( aElementOf0 @ SV253 @ ( sK12_W1 @ SV253 ) )
= $true )
| ( ( aElementOf0 @ SV253 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2181]) ).
thf(2211,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2212,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2183]) ).
thf(2213,plain,
! [SV258: $i] :
( ( ( aElementOf0 @ SV258 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV258 @ sz10 @ xp )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2184]) ).
thf(2214,plain,
! [SV259: $i] :
( ( ( ~ ( aInteger0 @ SV259 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV259 @ sz10 @ xp ) )
= $true )
| ( ( aElementOf0 @ SV259 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2215,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ! [SX1: $i] :
( ( ( sdtasdt0 @ xp @ SX1 )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2216,plain,
( ( ! [SX0: $i] :
( ~ ( aInteger0 @ SX0 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2217,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2188]) ).
thf(2218,plain,
! [SV222: $i] :
( ( ( ! [SY278: $i] :
( ~ ( aElementOf0 @ SY278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY278 @ ( smndt0 @ sz00 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2189]) ).
thf(2219,plain,
! [SV222: $i,SV260: $i] :
( ( ( aElementOf0 @ SV260 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV260 @ sz00 @ ( sK14_W1 @ SV222 ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2190]) ).
thf(2220,plain,
! [SV222: $i,SV261: $i] :
( ( ( ~ ( aInteger0 @ SV261 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV261 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV261 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2191]) ).
thf(2221,plain,
! [SV222: $i] :
( ( ( ! [SY281: $i] :
( ~ ( aInteger0 @ SY281 )
| ! [SY282: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY282 )
!= ( sdtpldt0 @ SY281 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY282 ) )
| ( aElementOf0 @ SY281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2222,plain,
! [SV222: $i] :
( ( ( ! [SY283: $i] :
( ~ ( aInteger0 @ SY283 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SY283 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY283 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2193]) ).
thf(2223,plain,
! [SV222: $i] :
( ( ( ( ( sK14_W1 @ SV222 )
!= sz00 ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2194]) ).
thf(2224,plain,
! [SV222: $i] :
( ( ( aInteger0 @ ( sK14_W1 @ SV222 ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2195]) ).
thf(2225,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
| ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2226,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2227,plain,
! [SV196: $i,SV262: $i] :
( ( ( ~ ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SV262 @ SV196 ) )
!= ( sdtpldt0 @ SV262 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV262 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2228,plain,
! [SV196: $i,SV263: $i] :
( ( ( ~ ( aElementOf0 @ SV263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
| ( aInteger0 @ SV263 ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2229,plain,
! [SV196: $i,SV256: $i] :
( ( ( aInteger0 @ SV256 )
= $false )
| ( ( ! [SY315: $i] :
( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SY315 )
!= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SY315 ) ) )
= $true )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2201]) ).
thf(2230,plain,
! [SV196: $i,SV257: $i] :
( ( ( aInteger0 @ SV257 )
= $false )
| ( ( ~ ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV257 @ ( smndt0 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV257 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2231,plain,
! [SV251: $i] :
( ( ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2232,plain,
! [SV264: $i] :
( ( ~ ( aInteger0 @ SV264 )
| ( aElementOf0 @ SV264 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ SV264 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2233,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2206]) ).
thf(2234,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2235,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2236,plain,
! [SV265: $i] :
( ( ~ ( aElementOf0 @ SV265 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV265 @ ( smndt0 @ sz10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2237,plain,
! [SV259: $i] :
( ( ( aInteger0 @ SV259 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV259 @ sz10 @ xp ) )
= $true )
| ( ( aElementOf0 @ SV259 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2214]) ).
thf(2238,plain,
! [SV266: $i] :
( ( ~ ( aInteger0 @ SV266 )
| ! [SY316: $i] :
( ( ( sdtasdt0 @ xp @ SY316 )
!= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY316 ) )
| ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2215]) ).
thf(2239,plain,
! [SV267: $i] :
( ( ~ ( aInteger0 @ SV267 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV267 @ ( smndt0 @ sz10 ) ) )
| ( aElementOf0 @ SV267 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2240,plain,
! [SV222: $i] :
( ( ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) )
| ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2217]) ).
thf(2241,plain,
! [SV222: $i,SV268: $i] :
( ( ( ~ ( aElementOf0 @ SV268 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV268 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2218]) ).
thf(2242,plain,
! [SV222: $i,SV261: $i] :
( ( ( aInteger0 @ SV261 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV261 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV261 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2220]) ).
thf(2243,plain,
! [SV222: $i,SV269: $i] :
( ( ( ~ ( aInteger0 @ SV269 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY317 )
!= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY317 ) )
| ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2244,plain,
! [SV222: $i,SV270: $i] :
( ( ( ~ ( aInteger0 @ SV270 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV270 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SV270 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2245,plain,
! [SV222: $i] :
( ( ( ( sK14_W1 @ SV222 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2223]) ).
thf(2246,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2225]) ).
thf(2247,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2225]) ).
thf(2248,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2226]) ).
thf(2249,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2226]) ).
thf(2250,plain,
! [SV196: $i,SV262: $i] :
( ( ( ~ ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SV262 @ SV196 ) )
!= ( sdtpldt0 @ SV262 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV262 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2227]) ).
thf(2251,plain,
! [SV196: $i,SV263: $i] :
( ( ( ~ ( aElementOf0 @ SV263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) ) )
= $true )
| ( ( aInteger0 @ SV263 )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2228]) ).
thf(2252,plain,
! [SV256: $i,SV271: $i,SV196: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SV271 )
!= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ SV271 ) )
= $true )
| ( ( aInteger0 @ SV256 )
= $false )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2253,plain,
! [SV257: $i,SV196: $i] :
( ( ( aDivisorOf0 @ ( sK10_W1 @ SV196 ) @ ( sdtpldt0 @ SV257 @ ( smndt0 @ SV196 ) ) )
= $false )
| ( ( aInteger0 @ SV257 )
= $false )
| ( ( aElementOf0 @ SV257 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2254,plain,
! [SV251: $i] :
( ( ( ~ ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2255,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2256,plain,
! [SV264: $i] :
( ( ( ~ ( aInteger0 @ SV264 )
| ( aElementOf0 @ SV264 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV264 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2232]) ).
thf(2257,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2233]) ).
thf(2258,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2233]) ).
thf(2259,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2234]) ).
thf(2260,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2234]) ).
thf(2261,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2262,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2263,plain,
! [SV265: $i] :
( ( ( ~ ( aElementOf0 @ SV265 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV265 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2236]) ).
thf(2264,plain,
! [SV259: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV259 @ sz10 @ xp )
= $false )
| ( ( aInteger0 @ SV259 )
= $false )
| ( ( aElementOf0 @ SV259 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2265,plain,
! [SV266: $i] :
( ( ( ~ ( aInteger0 @ SV266 )
| ! [SY316: $i] :
( ( ( sdtasdt0 @ xp @ SY316 )
!= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY316 ) ) )
= $true )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2238]) ).
thf(2266,plain,
! [SV267: $i] :
( ( ( ~ ( aInteger0 @ SV267 )
| ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV267 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV267 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2239]) ).
thf(2267,plain,
! [SV222: $i] :
( ( ( ~ ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2268,plain,
! [SV222: $i] :
( ( ( ~ ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2269,plain,
! [SV222: $i,SV268: $i] :
( ( ( ~ ( aElementOf0 @ SV268 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV268 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2270,plain,
! [SV222: $i,SV261: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV261 @ sz00 @ ( sK14_W1 @ SV222 ) )
= $false )
| ( ( aInteger0 @ SV261 )
= $false )
| ( ( aElementOf0 @ SV261 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2271,plain,
! [SV222: $i,SV269: $i] :
( ( ( ~ ( aInteger0 @ SV269 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY317 )
!= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY317 ) ) )
= $true )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2272,plain,
! [SV222: $i,SV270: $i] :
( ( ( ~ ( aInteger0 @ SV270 )
| ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV270 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV270 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2244]) ).
thf(2273,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2274,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY300: $i] :
( ~ ( aElementOf0 @ SY300 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SY300 @ sz00 @ SV243 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2247]) ).
thf(2275,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY301: $i] :
( ~ ( aInteger0 @ SY301 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY301 @ sz00 @ SV243 )
| ( aElementOf0 @ SY301 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2276,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2249]) ).
thf(2277,plain,
! [SV196: $i,SV262: $i] :
( ( ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SV262 @ SV196 ) )
!= ( sdtpldt0 @ SV262 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV262 @ SV196 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2250]) ).
thf(2278,plain,
! [SV196: $i,SV263: $i] :
( ( ( aElementOf0 @ SV263 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aInteger0 @ SV263 )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2279,plain,
! [SV256: $i,SV271: $i,SV196: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SV271 )
!= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV271 ) )
= $true )
| ( ( aInteger0 @ SV256 )
= $false )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2252]) ).
thf(2280,plain,
! [SV251: $i] :
( ( ( ! [SY306: $i] :
( ~ ( aElementOf0 @ SY306 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SY306 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2281,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2282,plain,
! [SV264: $i] :
( ( ( ~ ( aInteger0 @ SV264 ) )
= $true )
| ( ( aElementOf0 @ SV264 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV264 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2283,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2257]) ).
thf(2284,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2258]) ).
thf(2285,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( aElementOf0 @ SX1 @ xS )
| ~ ( aElementOf0 @ SX0 @ SX1 ) )
| ~ ( aInteger0 @ SX0 )
| ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2286,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2260]) ).
thf(2287,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SX0 ) )
!= ( sdtpldt0 @ SX0 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2288,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2289,plain,
! [SV265: $i] :
( ( ( aElementOf0 @ SV265 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV265 @ ( smndt0 @ sz10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2290,plain,
! [SV266: $i] :
( ( ( ~ ( aInteger0 @ SV266 ) )
= $true )
| ( ( ! [SY316: $i] :
( ( ( sdtasdt0 @ xp @ SY316 )
!= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY316 ) ) )
= $true )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2265]) ).
thf(2291,plain,
! [SV267: $i] :
( ( ( ~ ( aInteger0 @ SV267 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV267 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV267 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2292,plain,
! [SV222: $i] :
( ( ( ! [SY276: $i] :
( ~ ( aElementOf0 @ SY276 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SY276 @ SV222 ) )
!= ( sdtpldt0 @ SY276 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SY276 @ SV222 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2267]) ).
thf(2293,plain,
! [SV222: $i] :
( ( ( ! [SY277: $i] :
( ~ ( aElementOf0 @ SY277 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SY277 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2268]) ).
thf(2294,plain,
! [SV222: $i,SV268: $i] :
( ( ( aElementOf0 @ SV268 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV268 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2295,plain,
! [SV222: $i,SV269: $i] :
( ( ( ~ ( aInteger0 @ SV269 ) )
= $true )
| ( ( ! [SY317: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY317 )
!= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY317 ) ) )
= $true )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2271]) ).
thf(2296,plain,
! [SV222: $i,SV270: $i] :
( ( ( ~ ( aInteger0 @ SV270 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV270 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV270 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2272]) ).
thf(2297,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
| ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2298,plain,
! [SV223: $i,SV243: $i,SV272: $i] :
( ( ( ~ ( aElementOf0 @ SV272 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( sdteqdtlpzmzozddtrp0 @ SV272 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2299,plain,
! [SV223: $i,SV243: $i,SV273: $i] :
( ( ( ~ ( aInteger0 @ SV273 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV273 @ sz00 @ SV243 )
| ( aElementOf0 @ SV273 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2300,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
| ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2301,plain,
! [SV262: $i,SV196: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SV262 @ SV196 ) )
!= ( sdtpldt0 @ SV262 @ ( smndt0 @ SV196 ) ) )
| ~ ( aInteger0 @ ( sK11_SY108 @ SV262 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2302,plain,
! [SV256: $i,SV271: $i,SV196: $i] :
( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SV271 )
= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV271 ) )
= $true )
| ( ( aInteger0 @ SV256 )
= $false )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2303,plain,
! [SV251: $i,SV274: $i] :
( ( ( ~ ( aElementOf0 @ SV274 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aElementOf0 @ SV274 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2304,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2305,plain,
! [SV264: $i] :
( ( ( aInteger0 @ SV264 )
= $false )
| ( ( aElementOf0 @ SV264 @ ( sbsmnsldt0 @ xS ) )
= $true )
| ( ( aElementOf0 @ SV264 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2306,plain,
! [SV275: $i] :
( ( ~ ( aElementOf0 @ SV275 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( aInteger0 @ SV275 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2307,plain,
! [SV276: $i] :
( ( ~ ( aElementOf0 @ SV276 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ SV276 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2284]) ).
thf(2308,plain,
! [SV277: $i] :
( ( ! [SY318: $i] :
( ~ ( aElementOf0 @ SY318 @ xS )
| ~ ( aElementOf0 @ SV277 @ SY318 ) )
| ~ ( aInteger0 @ SV277 )
| ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2309,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2310,plain,
! [SV278: $i] :
( ( ~ ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV278 ) )
!= ( sdtpldt0 @ SV278 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2287]) ).
thf(2311,plain,
! [SV279: $i] :
( ( ~ ( aElementOf0 @ SV279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
| ( aInteger0 @ SV279 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2312,plain,
! [SV266: $i] :
( ( ( aInteger0 @ SV266 )
= $false )
| ( ( ! [SY316: $i] :
( ( ( sdtasdt0 @ xp @ SY316 )
!= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SY316 ) ) )
= $true )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2313,plain,
! [SV267: $i] :
( ( ( aInteger0 @ SV267 )
= $false )
| ( ( ~ ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV267 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV267 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2314,plain,
! [SV222: $i,SV280: $i] :
( ( ( ~ ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SV280 @ SV222 ) )
!= ( sdtpldt0 @ SV280 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV280 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2315,plain,
! [SV222: $i,SV281: $i] :
( ( ( ~ ( aElementOf0 @ SV281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
| ( aInteger0 @ SV281 ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2293]) ).
thf(2316,plain,
! [SV222: $i,SV269: $i] :
( ( ( aInteger0 @ SV269 )
= $false )
| ( ( ! [SY317: $i] :
( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SY317 )
!= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY317 ) ) )
= $true )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2317,plain,
! [SV222: $i,SV270: $i] :
( ( ( aInteger0 @ SV270 )
= $false )
| ( ( ~ ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV270 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV270 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2318,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2297]) ).
thf(2319,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2297]) ).
thf(2320,plain,
! [SV223: $i,SV243: $i,SV272: $i] :
( ( ( ~ ( aElementOf0 @ SV272 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV272 @ sz00 @ SV243 )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2298]) ).
thf(2321,plain,
! [SV223: $i,SV243: $i,SV273: $i] :
( ( ( ~ ( aInteger0 @ SV273 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV273 @ sz00 @ SV243 ) )
= $true )
| ( ( aElementOf0 @ SV273 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2299]) ).
thf(2322,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2300]) ).
thf(2323,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2300]) ).
thf(2324,plain,
! [SV262: $i,SV196: $i] :
( ( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SV262 @ SV196 ) )
!= ( sdtpldt0 @ SV262 @ ( smndt0 @ SV196 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2301]) ).
thf(2325,plain,
! [SV196: $i,SV262: $i] :
( ( ( ~ ( aInteger0 @ ( sK11_SY108 @ SV262 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2301]) ).
thf(2326,plain,
! [SV256: $i,SV196: $i,SV271: $i] :
( ( ( aInteger0 @ SV271 )
= $false )
| ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ SV271 )
= ( sdtpldt0 @ SV256 @ ( smndt0 @ SV196 ) ) )
= $false )
| ( ( aInteger0 @ SV256 )
= $false )
| ( ( aElementOf0 @ SV256 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2327,plain,
! [SV251: $i,SV274: $i] :
( ( ( ~ ( aElementOf0 @ SV274 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV274 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2303]) ).
thf(2328,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2304]) ).
thf(2329,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2304]) ).
thf(2330,plain,
! [SV275: $i] :
( ( ( ~ ( aElementOf0 @ SV275 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( aInteger0 @ SV275 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2306]) ).
thf(2331,plain,
! [SV276: $i] :
( ( ( ~ ( aElementOf0 @ SV276 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV276 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2307]) ).
thf(2332,plain,
! [SV277: $i] :
( ( ( ! [SY318: $i] :
( ~ ( aElementOf0 @ SY318 @ xS )
| ~ ( aElementOf0 @ SV277 @ SY318 ) )
| ~ ( aInteger0 @ SV277 ) )
= $true )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2308]) ).
thf(2333,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2309]) ).
thf(2334,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2309]) ).
thf(2335,plain,
! [SV278: $i] :
( ( ( ~ ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV278 ) )
!= ( sdtpldt0 @ SV278 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV278 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2310]) ).
thf(2336,plain,
! [SV279: $i] :
( ( ( ~ ( aElementOf0 @ SV279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
= $true )
| ( ( aInteger0 @ SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2311]) ).
thf(2337,plain,
! [SV266: $i,SV282: $i] :
( ( ( ( ( sdtasdt0 @ xp @ SV282 )
!= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ SV282 ) )
= $true )
| ( ( aInteger0 @ SV266 )
= $false )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2312]) ).
thf(2338,plain,
! [SV267: $i] :
( ( ( aDivisorOf0 @ xp @ ( sdtpldt0 @ SV267 @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( aInteger0 @ SV267 )
= $false )
| ( ( aElementOf0 @ SV267 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2339,plain,
! [SV222: $i,SV280: $i] :
( ( ( ~ ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SV280 @ SV222 ) )
!= ( sdtpldt0 @ SV280 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV280 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2314]) ).
thf(2340,plain,
! [SV222: $i,SV281: $i] :
( ( ( ~ ( aElementOf0 @ SV281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) ) )
= $true )
| ( ( aInteger0 @ SV281 )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2315]) ).
thf(2341,plain,
! [SV269: $i,SV283: $i,SV222: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SV283 )
!= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SV283 ) )
= $true )
| ( ( aInteger0 @ SV269 )
= $false )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2316]) ).
thf(2342,plain,
! [SV270: $i,SV222: $i] :
( ( ( aDivisorOf0 @ ( sK14_W1 @ SV222 ) @ ( sdtpldt0 @ SV270 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV270 )
= $false )
| ( ( aElementOf0 @ SV270 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2317]) ).
thf(2343,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2344,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY299: $i] :
( ~ ( aElementOf0 @ SY299 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY299 @ ( smndt0 @ sz00 ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2319]) ).
thf(2345,plain,
! [SV223: $i,SV243: $i,SV272: $i] :
( ( ( aElementOf0 @ SV272 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV272 @ sz00 @ SV243 )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2346,plain,
! [SV223: $i,SV243: $i,SV273: $i] :
( ( ( ~ ( aInteger0 @ SV273 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV273 @ sz00 @ SV243 ) )
= $true )
| ( ( aElementOf0 @ SV273 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2347,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY302: $i] :
( ~ ( aInteger0 @ SY302 )
| ! [SY303: $i] :
( ( ( sdtasdt0 @ SV243 @ SY303 )
!= ( sdtpldt0 @ SY302 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY303 ) )
| ( aElementOf0 @ SY302 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2322]) ).
thf(2348,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY304: $i] :
( ~ ( aInteger0 @ SY304 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SY304 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SY304 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2349,plain,
! [SV262: $i,SV196: $i] :
( ( ( ( sdtasdt0 @ ( sK10_W1 @ SV196 ) @ ( sK11_SY108 @ SV262 @ SV196 ) )
= ( sdtpldt0 @ SV262 @ ( smndt0 @ SV196 ) ) )
= $true )
| ( ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2350,plain,
! [SV196: $i,SV262: $i] :
( ( ( aInteger0 @ ( sK11_SY108 @ SV262 @ SV196 ) )
= $true )
| ( ( aElementOf0 @ SV262 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV196 @ ( sK10_W1 @ SV196 ) ) )
= $false )
| ( ( aElementOf0 @ SV196 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2325]) ).
thf(2351,plain,
! [SV251: $i,SV274: $i] :
( ( ( aElementOf0 @ SV274 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV274 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2352,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2328]) ).
thf(2353,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2354,plain,
! [SV275: $i] :
( ( ( aElementOf0 @ SV275 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( aInteger0 @ SV275 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2330]) ).
thf(2355,plain,
! [SV276: $i] :
( ( ( aElementOf0 @ SV276 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false )
| ( ( ~ ( aElementOf0 @ SV276 @ ( sbsmnsldt0 @ xS ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2356,plain,
! [SV277: $i] :
( ( ( ! [SY318: $i] :
( ~ ( aElementOf0 @ SY318 @ xS )
| ~ ( aElementOf0 @ SV277 @ SY318 ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV277 ) )
= $true )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2332]) ).
thf(2357,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SX0 ) @ xS )
| ~ ( aElementOf0 @ SX0 @ ( sK6_W1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2358,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2359,plain,
! [SV278: $i] :
( ( ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV278 ) )
!= ( sdtpldt0 @ SV278 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV278 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2360,plain,
! [SV279: $i] :
( ( ( aElementOf0 @ SV279 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false )
| ( ( aInteger0 @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2361,plain,
! [SV266: $i,SV282: $i] :
( ( ( ( ( sdtasdt0 @ xp @ SV282 )
!= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV282 ) )
= $true )
| ( ( aInteger0 @ SV266 )
= $false )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2362,plain,
! [SV222: $i,SV280: $i] :
( ( ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SV280 @ SV222 ) )
!= ( sdtpldt0 @ SV280 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV280 @ SV222 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2363,plain,
! [SV222: $i,SV281: $i] :
( ( ( aElementOf0 @ SV281 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aInteger0 @ SV281 )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2364,plain,
! [SV269: $i,SV283: $i,SV222: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SV283 )
!= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV283 ) )
= $true )
| ( ( aInteger0 @ SV269 )
= $false )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2341]) ).
thf(2365,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) )
| ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2366,plain,
! [SV223: $i,SV243: $i,SV284: $i] :
( ( ( ~ ( aElementOf0 @ SV284 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV284 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2344]) ).
thf(2367,plain,
! [SV223: $i,SV243: $i,SV273: $i] :
( ( ( aInteger0 @ SV273 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV273 @ sz00 @ SV243 ) )
= $true )
| ( ( aElementOf0 @ SV273 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2368,plain,
! [SV223: $i,SV243: $i,SV285: $i] :
( ( ( ~ ( aInteger0 @ SV285 )
| ! [SY319: $i] :
( ( ( sdtasdt0 @ SV243 @ SY319 )
!= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY319 ) )
| ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2347]) ).
thf(2369,plain,
! [SV223: $i,SV243: $i,SV286: $i] :
( ( ( ~ ( aInteger0 @ SV286 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV286 @ ( smndt0 @ sz00 ) ) )
| ( aElementOf0 @ SV286 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2370,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2371,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2372,plain,
! [SV276: $i] :
( ( ( aElementOf0 @ SV276 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aElementOf0 @ SV276 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2373,plain,
! [SV277: $i,SV287: $i] :
( ( ( ~ ( aElementOf0 @ SV287 @ xS )
| ~ ( aElementOf0 @ SV277 @ SV287 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV277 ) )
= $true )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2356]) ).
thf(2374,plain,
! [SV288: $i] :
( ( ~ ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
| ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SV288 ) @ xS )
| ~ ( aElementOf0 @ SV288 @ ( sK6_W1 @ SV288 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2357]) ).
thf(2375,plain,
! [SV289: $i] :
( ( ~ ( aElementOf0 @ SV289 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2358]) ).
thf(2376,plain,
! [SV278: $i] :
( ( ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV278 ) )
!= ( sdtpldt0 @ SV278 @ ( smndt0 @ sz10 ) ) )
| ~ ( aInteger0 @ ( sK4_W1 @ SV278 ) ) )
= $false )
| ( ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2359]) ).
thf(2377,plain,
! [SV266: $i,SV282: $i] :
( ( ( ( sdtasdt0 @ xp @ SV282 )
= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV282 ) )
= $true )
| ( ( aInteger0 @ SV266 )
= $false )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2361]) ).
thf(2378,plain,
! [SV280: $i,SV222: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SV280 @ SV222 ) )
!= ( sdtpldt0 @ SV280 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK15_SY117 @ SV280 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2379,plain,
! [SV269: $i,SV283: $i,SV222: $i] :
( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SV283 )
= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV283 ) )
= $true )
| ( ( aInteger0 @ SV269 )
= $false )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2380,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2365]) ).
thf(2381,plain,
! [SV223: $i,SV243: $i] :
( ( ( ~ ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2365]) ).
thf(2382,plain,
! [SV223: $i,SV243: $i,SV284: $i] :
( ( ( ~ ( aElementOf0 @ SV284 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV284 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2383,plain,
! [SV223: $i,SV243: $i,SV273: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV273 @ sz00 @ SV243 )
= $false )
| ( ( aInteger0 @ SV273 )
= $false )
| ( ( aElementOf0 @ SV273 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2384,plain,
! [SV223: $i,SV243: $i,SV285: $i] :
( ( ( ~ ( aInteger0 @ SV285 )
| ! [SY319: $i] :
( ( ( sdtasdt0 @ SV243 @ SY319 )
!= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY319 ) ) )
= $true )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2385,plain,
! [SV223: $i,SV243: $i,SV286: $i] :
( ( ( ~ ( aInteger0 @ SV286 )
| ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV286 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV286 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2369]) ).
thf(2386,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2387,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2388,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2371]) ).
thf(2389,plain,
! [SV251: $i] :
( ( ( ~ ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2371]) ).
thf(2390,plain,
! [SV277: $i,SV287: $i] :
( ( ( ~ ( aElementOf0 @ SV287 @ xS ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV277 @ SV287 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV277 ) )
= $true )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2373]) ).
thf(2391,plain,
! [SV288: $i] :
( ( ( ~ ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SV288 ) @ xS )
| ~ ( aElementOf0 @ SV288 @ ( sK6_W1 @ SV288 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2374]) ).
thf(2392,plain,
! [SV289: $i] :
( ( ( ~ ( aElementOf0 @ SV289 @ ( sbsmnsldt0 @ xS ) ) )
= $true )
| ( ( aInteger0 @ SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2375]) ).
thf(2393,plain,
! [SV278: $i] :
( ( ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV278 ) )
!= ( sdtpldt0 @ SV278 @ ( smndt0 @ sz10 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2394,plain,
! [SV278: $i] :
( ( ( ~ ( aInteger0 @ ( sK4_W1 @ SV278 ) ) )
= $false )
| ( ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2395,plain,
! [SV266: $i,SV282: $i] :
( ( ( aInteger0 @ SV282 )
= $false )
| ( ( ( sdtasdt0 @ xp @ SV282 )
= ( sdtpldt0 @ SV266 @ ( smndt0 @ sz10 ) ) )
= $false )
| ( ( aInteger0 @ SV266 )
= $false )
| ( ( aElementOf0 @ SV266 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2396,plain,
! [SV280: $i,SV222: $i] :
( ( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SV280 @ SV222 ) )
!= ( sdtpldt0 @ SV280 @ ( smndt0 @ sz00 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2378]) ).
thf(2397,plain,
! [SV222: $i,SV280: $i] :
( ( ( ~ ( aInteger0 @ ( sK15_SY117 @ SV280 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2378]) ).
thf(2398,plain,
! [SV269: $i,SV222: $i,SV283: $i] :
( ( ( aInteger0 @ SV283 )
= $false )
| ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ SV283 )
= ( sdtpldt0 @ SV269 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV269 )
= $false )
| ( ( aElementOf0 @ SV269 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $true )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2379]) ).
thf(2399,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY297: $i] :
( ~ ( aElementOf0 @ SY297 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SY297 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SY297 @ SV243 @ SV223 ) ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2400,plain,
! [SV223: $i,SV243: $i] :
( ( ( ! [SY298: $i] :
( ~ ( aElementOf0 @ SY298 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SY298 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2401,plain,
! [SV223: $i,SV243: $i,SV284: $i] :
( ( ( aElementOf0 @ SV284 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV284 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2402,plain,
! [SV223: $i,SV243: $i,SV285: $i] :
( ( ( ~ ( aInteger0 @ SV285 ) )
= $true )
| ( ( ! [SY319: $i] :
( ( ( sdtasdt0 @ SV243 @ SY319 )
!= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY319 ) ) )
= $true )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2384]) ).
thf(2403,plain,
! [SV223: $i,SV243: $i,SV286: $i] :
( ( ( ~ ( aInteger0 @ SV286 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV286 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV286 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2404,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2405,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2387]) ).
thf(2406,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2388]) ).
thf(2407,plain,
! [SV251: $i] :
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2389]) ).
thf(2408,plain,
! [SV277: $i,SV287: $i] :
( ( ( aElementOf0 @ SV287 @ xS )
= $false )
| ( ( ~ ( aElementOf0 @ SV277 @ SV287 ) )
= $true )
| ( ( ~ ( aInteger0 @ SV277 ) )
= $true )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2409,plain,
! [SV288: $i] :
( ( ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK6_W1 @ SV288 ) @ xS )
| ~ ( aElementOf0 @ SV288 @ ( sK6_W1 @ SV288 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2391]) ).
thf(2410,plain,
! [SV289: $i] :
( ( ( aElementOf0 @ SV289 @ ( sbsmnsldt0 @ xS ) )
= $false )
| ( ( aInteger0 @ SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2411,plain,
! [SV278: $i] :
( ( ( ( sdtasdt0 @ xp @ ( sK4_W1 @ SV278 ) )
= ( sdtpldt0 @ SV278 @ ( smndt0 @ sz10 ) ) )
= $true )
| ( ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2412,plain,
! [SV278: $i] :
( ( ( aInteger0 @ ( sK4_W1 @ SV278 ) )
= $true )
| ( ( aElementOf0 @ SV278 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2413,plain,
! [SV280: $i,SV222: $i] :
( ( ( ( sdtasdt0 @ ( sK14_W1 @ SV222 ) @ ( sK15_SY117 @ SV280 @ SV222 ) )
= ( sdtpldt0 @ SV280 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2414,plain,
! [SV222: $i,SV280: $i] :
( ( ( aInteger0 @ ( sK15_SY117 @ SV280 @ SV222 ) )
= $true )
| ( ( aElementOf0 @ SV280 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sK14_W1 @ SV222 ) ) )
= $false )
| ( ( aElementOf0 @ SV222 @ xS )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2415,plain,
! [SV223: $i,SV243: $i,SV290: $i] :
( ( ( ~ ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SV290 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2416,plain,
! [SV223: $i,SV243: $i,SV291: $i] :
( ( ( ~ ( aElementOf0 @ SV291 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
| ( aInteger0 @ SV291 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2417,plain,
! [SV223: $i,SV243: $i,SV285: $i] :
( ( ( aInteger0 @ SV285 )
= $false )
| ( ( ! [SY319: $i] :
( ( ( sdtasdt0 @ SV243 @ SY319 )
!= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SY319 ) ) )
= $true )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2418,plain,
! [SV223: $i,SV243: $i,SV286: $i] :
( ( ( aInteger0 @ SV286 )
= $false )
| ( ( ~ ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV286 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV286 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2403]) ).
thf(2419,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
| ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2404]) ).
thf(2420,plain,
! [SV251: $i] :
( ( ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2405]) ).
thf(2421,plain,
! [SV251: $i] :
( ( ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
| ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2422,plain,
! [SV287: $i,SV277: $i] :
( ( ( aElementOf0 @ SV277 @ SV287 )
= $false )
| ( ( aElementOf0 @ SV287 @ xS )
= $false )
| ( ( ~ ( aInteger0 @ SV277 ) )
= $true )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2408]) ).
thf(2423,plain,
! [SV288: $i] :
( ( ( ~ ( aElementOf0 @ ( sK6_W1 @ SV288 ) @ xS )
| ~ ( aElementOf0 @ SV288 @ ( sK6_W1 @ SV288 ) ) )
= $false )
| ( ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2424,plain,
! [SV223: $i,SV243: $i,SV290: $i] :
( ( ( ~ ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SV290 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2415]) ).
thf(2425,plain,
! [SV223: $i,SV243: $i,SV291: $i] :
( ( ( ~ ( aElementOf0 @ SV291 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) ) )
= $true )
| ( ( aInteger0 @ SV291 )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2416]) ).
thf(2426,plain,
! [SV223: $i,SV285: $i,SV292: $i,SV243: $i] :
( ( ( ( ( sdtasdt0 @ SV243 @ SV292 )
!= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ SV292 ) )
= $true )
| ( ( aInteger0 @ SV285 )
= $false )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2427,plain,
! [SV223: $i,SV286: $i,SV243: $i] :
( ( ( aDivisorOf0 @ SV243 @ ( sdtpldt0 @ SV286 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV286 )
= $false )
| ( ( aElementOf0 @ SV286 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2418]) ).
thf(2428,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2429,plain,
! [SV251: $i] :
( ( ( ~ ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2430,plain,
! [SV251: $i] :
( ( ( ~ ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2431,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2432,plain,
! [SV251: $i] :
( ( ( ~ ( ( ( sK7_W1 @ SV251 )
!= sz00 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2433,plain,
! [SV251: $i] :
( ( ( ~ ( aInteger0 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2434,plain,
! [SV287: $i,SV277: $i] :
( ( ( aInteger0 @ SV277 )
= $false )
| ( ( aElementOf0 @ SV287 @ xS )
= $false )
| ( ( aElementOf0 @ SV277 @ SV287 )
= $false )
| ( ( aElementOf0 @ SV277 @ ( sbsmnsldt0 @ xS ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2435,plain,
! [SV288: $i] :
( ( ( ~ ( aElementOf0 @ ( sK6_W1 @ SV288 ) @ xS ) )
= $false )
| ( ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2436,plain,
! [SV288: $i] :
( ( ( ~ ( aElementOf0 @ SV288 @ ( sK6_W1 @ SV288 ) ) )
= $false )
| ( ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2437,plain,
! [SV223: $i,SV243: $i,SV290: $i] :
( ( ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SV290 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) ) ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2438,plain,
! [SV223: $i,SV243: $i,SV291: $i] :
( ( ( aElementOf0 @ SV291 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aInteger0 @ SV291 )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2425]) ).
thf(2439,plain,
! [SV223: $i,SV285: $i,SV292: $i,SV243: $i] :
( ( ( ( ( sdtasdt0 @ SV243 @ SV292 )
!= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV292 ) )
= $true )
| ( ( aInteger0 @ SV285 )
= $false )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2426]) ).
thf(2440,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2428]) ).
thf(2441,plain,
! [SV251: $i] :
( ( ( ! [SY310: $i] :
( ~ ( aElementOf0 @ SY310 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SY310 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2429]) ).
thf(2442,plain,
! [SV251: $i] :
( ( ( ! [SY311: $i] :
( ~ ( aInteger0 @ SY311 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SY311 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SY311 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2430]) ).
thf(2443,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2431]) ).
thf(2444,plain,
! [SV251: $i] :
( ( ( ( ( sK7_W1 @ SV251 )
!= sz00 ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2432]) ).
thf(2445,plain,
! [SV251: $i] :
( ( ( aInteger0 @ ( sK7_W1 @ SV251 ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2433]) ).
thf(2446,plain,
! [SV288: $i] :
( ( ( aElementOf0 @ ( sK6_W1 @ SV288 ) @ xS )
= $true )
| ( ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2435]) ).
thf(2447,plain,
! [SV288: $i] :
( ( ( aElementOf0 @ SV288 @ ( sK6_W1 @ SV288 ) )
= $true )
| ( ( aElementOf0 @ SV288 @ ( sbsmnsldt0 @ xS ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2436]) ).
thf(2448,plain,
! [SV223: $i,SV290: $i,SV243: $i] :
( ( ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SV290 @ ( smndt0 @ sz00 ) ) )
| ~ ( aInteger0 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) ) )
= $false )
| ( ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2449,plain,
! [SV223: $i,SV285: $i,SV292: $i,SV243: $i] :
( ( ( ( sdtasdt0 @ SV243 @ SV292 )
= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV292 ) )
= $true )
| ( ( aInteger0 @ SV285 )
= $false )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2450,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
| ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2451,plain,
! [SV251: $i,SV293: $i] :
( ( ( ~ ( aElementOf0 @ SV293 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ SV293 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2441]) ).
thf(2452,plain,
! [SV251: $i,SV294: $i] :
( ( ( ~ ( aInteger0 @ SV294 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV294 @ SV251 @ ( sK7_W1 @ SV251 ) )
| ( aElementOf0 @ SV294 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2442]) ).
thf(2453,plain,
! [SV251: $i] :
( ( ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
| ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2454,plain,
! [SV251: $i] :
( ( ( ( sK7_W1 @ SV251 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2455,plain,
! [SV223: $i,SV290: $i,SV243: $i] :
( ( ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
!= ( sdtpldt0 @ SV290 @ ( smndt0 @ sz00 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2456,plain,
! [SV223: $i,SV243: $i,SV290: $i] :
( ( ( ~ ( aInteger0 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) ) )
= $false )
| ( ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2457,plain,
! [SV223: $i,SV285: $i,SV243: $i,SV292: $i] :
( ( ( aInteger0 @ SV292 )
= $false )
| ( ( ( sdtasdt0 @ SV243 @ SV292 )
= ( sdtpldt0 @ SV285 @ ( smndt0 @ sz00 ) ) )
= $false )
| ( ( aInteger0 @ SV285 )
= $false )
| ( ( aElementOf0 @ SV285 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $true )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2458,plain,
! [SV251: $i] :
( ( ( ~ ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2459,plain,
! [SV251: $i] :
( ( ( ~ ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2460,plain,
! [SV251: $i,SV293: $i] :
( ( ( ~ ( aElementOf0 @ SV293 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( sdteqdtlpzmzozddtrp0 @ SV293 @ SV251 @ ( sK7_W1 @ SV251 ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2451]) ).
thf(2461,plain,
! [SV251: $i,SV294: $i] :
( ( ( ~ ( aInteger0 @ SV294 )
| ~ ( sdteqdtlpzmzozddtrp0 @ SV294 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV294 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2452]) ).
thf(2462,plain,
! [SV251: $i] :
( ( ( ~ ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2453]) ).
thf(2463,plain,
! [SV251: $i] :
( ( ( ~ ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2453]) ).
thf(2464,plain,
! [SV223: $i,SV290: $i,SV243: $i] :
( ( ( ( sdtasdt0 @ SV243 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
= ( sdtpldt0 @ SV290 @ ( smndt0 @ sz00 ) ) )
= $true )
| ( ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2455]) ).
thf(2465,plain,
! [SV223: $i,SV243: $i,SV290: $i] :
( ( ( aInteger0 @ ( sK13_W3 @ SV290 @ SV243 @ SV223 ) )
= $true )
| ( ( aElementOf0 @ SV290 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ SV243 ) )
= $false )
| ( ( aInteger0 @ SV243 )
= $false )
| ( ( SV243 = sz00 )
= $true )
| ( ( isPrime0 @ SV243 )
= $false )
| ( ( aElementOf0 @ SV223 @ xS )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2456]) ).
thf(2466,plain,
! [SV251: $i] :
( ( ( ~ ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2458]) ).
thf(2467,plain,
! [SV251: $i] :
( ( ( ! [SY309: $i] :
( ~ ( aElementOf0 @ SY309 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY309 @ ( smndt0 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2459]) ).
thf(2468,plain,
! [SV251: $i,SV293: $i] :
( ( ( aElementOf0 @ SV293 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( sdteqdtlpzmzozddtrp0 @ SV293 @ SV251 @ ( sK7_W1 @ SV251 ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2469,plain,
! [SV251: $i,SV294: $i] :
( ( ( ~ ( aInteger0 @ SV294 ) )
= $true )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV294 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV294 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2470,plain,
! [SV251: $i] :
( ( ( ! [SY312: $i] :
( ~ ( aInteger0 @ SY312 )
| ! [SY313: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY313 )
!= ( sdtpldt0 @ SY312 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY313 ) )
| ( aElementOf0 @ SY312 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2462]) ).
thf(2471,plain,
! [SV251: $i] :
( ( ( ! [SY314: $i] :
( ~ ( aInteger0 @ SY314 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SY314 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SY314 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2463]) ).
thf(2472,plain,
! [SV251: $i] :
( ( ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) )
| ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2473,plain,
! [SV251: $i,SV295: $i] :
( ( ( ~ ( aElementOf0 @ SV295 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV295 @ ( smndt0 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2467]) ).
thf(2474,plain,
! [SV251: $i,SV294: $i] :
( ( ( aInteger0 @ SV294 )
= $false )
| ( ( ~ ( sdteqdtlpzmzozddtrp0 @ SV294 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV294 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2475,plain,
! [SV251: $i,SV296: $i] :
( ( ( ~ ( aInteger0 @ SV296 )
| ! [SY320: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY320 )
!= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY320 ) )
| ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2470]) ).
thf(2476,plain,
! [SV251: $i,SV297: $i] :
( ( ( ~ ( aInteger0 @ SV297 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV297 @ ( smndt0 @ SV251 ) ) )
| ( aElementOf0 @ SV297 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2477,plain,
! [SV251: $i] :
( ( ( ~ ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2478,plain,
! [SV251: $i] :
( ( ( ~ ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2479,plain,
! [SV251: $i,SV295: $i] :
( ( ( ~ ( aElementOf0 @ SV295 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV295 @ ( smndt0 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2473]) ).
thf(2480,plain,
! [SV251: $i,SV294: $i] :
( ( ( sdteqdtlpzmzozddtrp0 @ SV294 @ SV251 @ ( sK7_W1 @ SV251 ) )
= $false )
| ( ( aInteger0 @ SV294 )
= $false )
| ( ( aElementOf0 @ SV294 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2481,plain,
! [SV251: $i,SV296: $i] :
( ( ( ~ ( aInteger0 @ SV296 )
| ! [SY320: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY320 )
!= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY320 ) ) )
= $true )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2475]) ).
thf(2482,plain,
! [SV251: $i,SV297: $i] :
( ( ( ~ ( aInteger0 @ SV297 )
| ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV297 @ ( smndt0 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV297 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2476]) ).
thf(2483,plain,
! [SV251: $i] :
( ( ( ! [SY307: $i] :
( ~ ( aElementOf0 @ SY307 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SY307 @ SV251 ) )
!= ( sdtpldt0 @ SY307 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SY307 @ SV251 ) ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2477]) ).
thf(2484,plain,
! [SV251: $i] :
( ( ( ! [SY308: $i] :
( ~ ( aElementOf0 @ SY308 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SY308 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2478]) ).
thf(2485,plain,
! [SV251: $i,SV295: $i] :
( ( ( aElementOf0 @ SV295 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV295 @ ( smndt0 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2486,plain,
! [SV251: $i,SV296: $i] :
( ( ( ~ ( aInteger0 @ SV296 ) )
= $true )
| ( ( ! [SY320: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY320 )
!= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY320 ) ) )
= $true )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2481]) ).
thf(2487,plain,
! [SV251: $i,SV297: $i] :
( ( ( ~ ( aInteger0 @ SV297 ) )
= $true )
| ( ( ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV297 @ ( smndt0 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV297 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2482]) ).
thf(2488,plain,
! [SV251: $i,SV298: $i] :
( ( ( ~ ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SV298 @ SV251 ) )
!= ( sdtpldt0 @ SV298 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV298 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2489,plain,
! [SV251: $i,SV299: $i] :
( ( ( ~ ( aElementOf0 @ SV299 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
| ( aInteger0 @ SV299 ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2484]) ).
thf(2490,plain,
! [SV251: $i,SV296: $i] :
( ( ( aInteger0 @ SV296 )
= $false )
| ( ( ! [SY320: $i] :
( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SY320 )
!= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SY320 ) ) )
= $true )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2491,plain,
! [SV251: $i,SV297: $i] :
( ( ( aInteger0 @ SV297 )
= $false )
| ( ( ~ ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV297 @ ( smndt0 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV297 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2487]) ).
thf(2492,plain,
! [SV251: $i,SV298: $i] :
( ( ( ~ ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SV298 @ SV251 ) )
!= ( sdtpldt0 @ SV298 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV298 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2488]) ).
thf(2493,plain,
! [SV251: $i,SV299: $i] :
( ( ( ~ ( aElementOf0 @ SV299 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) ) )
= $true )
| ( ( aInteger0 @ SV299 )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2489]) ).
thf(2494,plain,
! [SV296: $i,SV300: $i,SV251: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SV300 )
!= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ SV300 ) )
= $true )
| ( ( aInteger0 @ SV296 )
= $false )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2490]) ).
thf(2495,plain,
! [SV297: $i,SV251: $i] :
( ( ( aDivisorOf0 @ ( sK7_W1 @ SV251 ) @ ( sdtpldt0 @ SV297 @ ( smndt0 @ SV251 ) ) )
= $false )
| ( ( aInteger0 @ SV297 )
= $false )
| ( ( aElementOf0 @ SV297 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2491]) ).
thf(2496,plain,
! [SV251: $i,SV298: $i] :
( ( ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SV298 @ SV251 ) )
!= ( sdtpldt0 @ SV298 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV298 @ SV251 ) ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2492]) ).
thf(2497,plain,
! [SV251: $i,SV299: $i] :
( ( ( aElementOf0 @ SV299 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aInteger0 @ SV299 )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2493]) ).
thf(2498,plain,
! [SV296: $i,SV300: $i,SV251: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SV300 )
!= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) ) )
= $true )
| ( ( ~ ( aInteger0 @ SV300 ) )
= $true )
| ( ( aInteger0 @ SV296 )
= $false )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2494]) ).
thf(2499,plain,
! [SV298: $i,SV251: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SV298 @ SV251 ) )
!= ( sdtpldt0 @ SV298 @ ( smndt0 @ SV251 ) ) )
| ~ ( aInteger0 @ ( sK8_SY98 @ SV298 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2500,plain,
! [SV296: $i,SV300: $i,SV251: $i] :
( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SV300 )
= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
= $false )
| ( ( ~ ( aInteger0 @ SV300 ) )
= $true )
| ( ( aInteger0 @ SV296 )
= $false )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2501,plain,
! [SV298: $i,SV251: $i] :
( ( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SV298 @ SV251 ) )
!= ( sdtpldt0 @ SV298 @ ( smndt0 @ SV251 ) ) ) )
= $false )
| ( ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2502,plain,
! [SV251: $i,SV298: $i] :
( ( ( ~ ( aInteger0 @ ( sK8_SY98 @ SV298 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2503,plain,
! [SV296: $i,SV251: $i,SV300: $i] :
( ( ( aInteger0 @ SV300 )
= $false )
| ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ SV300 )
= ( sdtpldt0 @ SV296 @ ( smndt0 @ SV251 ) ) )
= $false )
| ( ( aInteger0 @ SV296 )
= $false )
| ( ( aElementOf0 @ SV296 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2504,plain,
! [SV298: $i,SV251: $i] :
( ( ( ( sdtasdt0 @ ( sK7_W1 @ SV251 ) @ ( sK8_SY98 @ SV298 @ SV251 ) )
= ( sdtpldt0 @ SV298 @ ( smndt0 @ SV251 ) ) )
= $true )
| ( ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2505,plain,
! [SV251: $i,SV298: $i] :
( ( ( aInteger0 @ ( sK8_SY98 @ SV298 @ SV251 ) )
= $true )
| ( ( aElementOf0 @ SV298 @ ( szAzrzSzezqlpdtcmdtrp0 @ SV251 @ ( sK7_W1 @ SV251 ) ) )
= $false )
| ( ( aElementOf0 @ SV251 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2506,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1313,2505,2504,2503,2497,2495,2485,2480,2468,2465,2464,2457,2454,2447,2446,2445,2438,2434,2427,2414,2413,2412,2411,2410,2407,2401,2398,2395,2383,2372,2363,2360,2354,2351,2350,2349,2345,2342,2338,2326,2305,2294,2289,2278,2270,2264,2253,2245,2224,2219,2213,2210,2209,2208,2204,2200,2179,2170,2159,2143,2137,2131,2130,2129,2120,2117,2101,2073,2068,2065,2061,2057,2049,2048,2047,2020,2003,2002,2001,1998,1980,1974,1973,1971,1968,1937,1927,1921,1916,1910,1908,1899,1898,1897,1892,1891,1890,1884,1881,1830,1829,1823,1809,1801,1792,1791,1790,1788,1777,1776,1751,1746,1745,1736,1726,1725,1717,1699,1696,1689,1688,1687,1648,1635,1623,1619,1615,1614,1611,1610,1602,1601,1591,1590,1589,1588,1579,1577,1575,1574,1510,1498,1497,1486,1481,1470,1455,1442,1377,1364,1318,1317]) ).
thf(2507,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2506,1310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM452+6 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 03:05:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 .
% 0.20/0.49
% 0.20/0.49 No.of.Axioms: 36
% 0.20/0.49
% 0.20/0.49 Length.of.Defs: 0
% 0.20/0.49
% 0.20/0.49 Contains.Choice.Funs: false
% 0.39/0.57 .
% 0.39/0.57 (rf:0,axioms:36,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:38,loop_count:0,foatp_calls:0,translation:fof_full).................................................................................................................................................................................................................................................
% 7.37/7.56
% 7.37/7.56 ********************************
% 7.37/7.56 * All subproblems solved! *
% 7.37/7.56 ********************************
% 7.37/7.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:36,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:70,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2506,loop_count:0,foatp_calls:1,translation:fof_full)
% 10.10/10.30
% 10.10/10.30 %**** Beginning of derivation protocol ****
% 10.10/10.30 % SZS output start CNFRefutation
% See solution above
% 10.10/10.31
% 10.10/10.31 %**** End of derivation protocol ****
% 10.10/10.31 %**** no. of clauses in derivation: 2507 ****
% 10.10/10.31 %**** clause counter: 2506 ****
% 10.10/10.31
% 10.10/10.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:36,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:70,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2506,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------